Lesson 1 Equivalent Fractions<\/strong><\/p>\n Lesson 2 Equivalent Fractions on a Number Line<\/strong><\/p>\n Lesson 3 Relate Fractions and Whole Numbers<\/strong><\/p>\n Lesson 4 Compare Fractions with the Same Denominator<\/strong><\/p>\n Lesson 5 Compare Fractions with the Same Numerator<\/strong><\/p>\n Lesson 6 Compare Fractions on a Number Line<\/strong><\/p>\n Lesson 7 Compare Fractions<\/strong><\/p>\n Lesson 8 Compare and Order Fractions<\/strong><\/p>\n Understand Fraction Equivalence and Comparison<\/strong><\/p>\n Explore and Grow\u00a0 \u00a0<\/strong><\/p>\n Use the model to write fractions that are the same size as \\(\\frac{1}{2}\\) Reasoning<\/strong> Think and Grow: Model Equivalent Fractions<\/strong><\/p>\n Two or more numbers that have the same value are equivalent. Two or more fractions that name the same part of a whole are equivalent fractions.<\/p>\n Example<\/strong> Answer: Show and Grow<\/strong><\/p>\n Use the models to find an equivalent fraction. Both models show the same whole.<\/strong> Explanation: \\(\\frac{1}{4}\\) and 2\/8 are equivalent fractions both gives the same answer. Question 2. Explanation: \\(\\frac{2}{6}\\) and \\(\\frac{2}{8}\\) are equivalent fractions both gives the same answer. Question 3. Explanation: Apply and Grow: Practice<\/strong><\/p>\n Use the models to find an equivalent fraction. Both models show the same whole.<\/strong> Explanation: Question 5. Explanation: \\(\\frac{6}{6}\\) and \\(\\frac{3}{3}\\) are equivalent fractions both gives the same answer.<\/p>\n Question 6. Explanation: \\(\\frac{1}{3}\\) and \\(\\frac{2}{6}\\) are equivalent fractions both gives the same answer.<\/p>\n Find the equivalent fraction<\/strong> Explanation: Question 8. Explanation: Question 9. Explanation: Question 10. Explanation: Question 11. Explanation: Question 12. Explanation: From the above pictures 1 and 2 are equivalent fractions the first rectangle represent \\(\\frac{4}{8}\\) and the second represents \\(\\frac{2}{4}\\) both give the answer as \\(\\frac{1}{2}\\) Think and Grow: Modeling Real Life<\/strong><\/p>\n You, Newton, and Descartes divide your posters for a science fair as shown.You finish 3 parts, Newton finishes 2 parts, and Descartes finishes 4 parts.Who has finished the same amount? Answer: Show and Grow<\/strong><\/p>\n Question 13. Question 14. Use the models to find an equivalent fraction. Both models show the same whole.<\/strong> Explanation: \\(\\frac{4}{6}\\) and \\(\\frac{2}{3}\\) are equivalent fractions both gives the same answer.<\/p>\n Question 2. Explanation: \\(\\frac{1}{2}\\) and \\(\\frac{3}{6}\\) are equivalent fractions both gives the same answer.<\/p>\n Question 3. Find the equivalent fraction<\/strong> Explanation: \\(\\frac{2}{2}\\) and \\(\\frac{8}{8}\\) are equivalent fractions both gives the same answer.<\/p>\n Question 5. Question 6. Question 7. Question 8. Question 9. Explanation: Question 10. Review & Refresh<\/strong><\/p>\n Question 11. Explanation: Question 12. Explanation: Explore and Grow<\/strong><\/p>\n Use Fraction Strips to label thirds on the number line. Structure<\/strong> Think and Grow: Equivalent Fractions on a Number Line<\/strong><\/p>\n You can use a number line to find equivalent fractions. Equivalent fractions represent the same point on a number line.<\/p>\n Example<\/strong> Answer: Show and Grow<\/strong><\/p>\n Question 1. Question 2. Apply and Grow: Practice<\/strong><\/p>\n Write two fractions that name the point shown.<\/strong> The fractions \\(\\frac{4}{6}\\) and \\(\\frac{1}{2}\\) are on the same point. Question 4. The fractions \\(\\frac{4}{8}\\) and \\(\\frac{1}{2}\\) are on the same point. Question 5. The fractions \\(\\frac{1}{4}\\) and \\(\\frac{2}{8}\\) are on the same point. Question 6. Question 7. Question 8. Think and Grow: Modeling Real Life<\/strong><\/p>\n Newton rests after biking \\(\\frac{2}{3}\\) of a race. Descartes rests after biking \\(\\frac{2}{6}\\) of the same race. Do they rest at the same point along the race path? Show and Grow<\/strong><\/p>\n Question 9. Question 10. Question 11. Question 1. Question 2. By seeing the above number we can find the equivalent fraction of \\(\\frac{1}{2}\\). Write two fractions that name the same point shown.<\/strong> By seeing the above number we can find the equivalent fraction of \\(\\frac{6}{8}\\). Question 4. By seeing the above number we can find the equivalent fraction of \\(\\frac{4}{6}\\). Question 5. Question 6. Question 7. Question 8. Review & Refresh<\/strong><\/p>\n What fraction of the whole is shaded? Question 10. <\/p>\n Explore and Grow<\/strong><\/p>\n Use Fraction Strips to complete the fractions. Draw to show your models. Explanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n Repeated Reasoning<\/strong> Explanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n Think and Grow: Equivalent Fractions and Whole Numbers<\/strong><\/p>\n Example<\/strong> Answer: Example<\/strong> Answer: Show and Grow<\/strong><\/p>\n Question 1. Explanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n Apply and Grow: Practice<\/strong><\/p>\n Question 2. Explanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n Write two equivalent fractions for the whole number.<\/strong> Question 4. Question 5. Write the equivalent whole number.<\/strong> Question 7. Question 8. Answer: Explanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n Question 9. Question 10. Question 11. Think and Grow: Modeling Real Life<\/strong><\/p>\n You run around a track 12 times. Each lap is \\(\\frac{1}{4}\\) mile. How many miles do you run? Write your answer as a whole number and as a fraction. Answer: Show and Grow<\/strong><\/p>\n Question 12. Question 13. Question 14. Question 1. Write two equivalent fractions for the whole number.<\/strong> Question 3. Question 4. Write the equivalent whole number.<\/strong> Question 6. Question 7. Question 8. Question 9. Question 10. Question 11. Question 12. Question 13. Review & Refresh<\/strong><\/p>\n Estimate. Then find the sum. Check whether your answer is reasonable.<\/strong> Explanation: Question 15. Explanation: Question 16. Explanation: Explore and Grow<\/strong><\/p>\n Color to show each fraction. Circle the greater fraction. Construct Arguments<\/strong> Think and Grow: Compare Fractions That have the Same Denominator<\/strong><\/p>\n Example<\/strong> Answer: Another Way: Answer: Show and Grow<\/strong><\/p>\n Shade to compare the fractions<\/strong> Question 2. Explanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction<\/p>\n Apply and Grow: Practice<\/strong><\/p>\n Shade to compare the fractions.<\/strong> Explanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction<\/p>\n Question 4. Explanation: Here the numerator and denominator of the fractions are the same so<\/p>\n Compare. Explanation: Question 6. Question 7. Explanation: Question 8. Explanation: Question 9. Explanation: Question 10 Explanation: Question 11. Question 12. Explanation: Question 13. Think and Grow: Modeling Real Life<\/strong><\/p>\n Newton and Descartes have the same number of chores. Newton finishes \\(\\frac{2}{3}\\) of his chores. Descartes finishes \\(\\frac{1}{3}\\) of his chores. Who finishes more of his chores? Answer: Newton finishes more of his chores<\/p>\n Explanation: Show and Grow<\/strong><\/p>\n Question 14. Question 15. Question 16. Shade to compare the fractions<\/strong> if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction Question 2. Compare<\/strong> Question 4. Explanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. Question 5. Explanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. Question 6. Explanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. Question 7. Explanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. Question 8. Explanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction. Question 9. Question 10. Open-Ended<\/strong> Explanation: Question 12. Explanation: Question 13. Explanation: Question 14. Explanation:\n
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<\/a>Lesson 11.1 Equivalent Fractions<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-1.png\")
\nAnswer: fraction \\(\\frac{4}{8}\\) , fraction\\(\\frac{8}{16}\\) are the same size as fraction \\(\\frac{1}{2}\\).<\/p>\n
\nCan you write a fraction with a denominator of that is the same size as \\(\\frac{3}{4}\\)? Explain.
\nAnswer: It is nothing but equivalent fraction \\(\\frac{3}{4}\\) and \\(\\frac{21}{28}\\) are equivalent fraction.<\/p>\n
\nUse the models to find an equivalent fraction for \\(\\frac{2}{3}\\) .
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-2.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-2\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-2.jpg\")
<\/p>\n
\nQuestion 1.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-3.png\")
\nAnswer:\\(\\frac{2}{8}\\)<\/p>\n
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-3\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-3-1.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-4.png\")
\nAnswer: 1\/3<\/p>\n
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-4\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-4-1.png\")
<\/p>\n
\nShade 1 part of the model. Then divide the model into 4 equal parts. Write the equivalent fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-5.png\")
\nAnswer: \\(\\frac{2}{4}\\)<\/p>\n
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-5\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-5-1.png\")
\n\\(\\frac{1}{4}\\) and \\(\\frac{2}{4}\\) are equivalent fractions both gives the same answer.<\/p>\n
\nQuestion 4.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-6.png\")
\nAnswer: \\(\\frac{4}{8}\\)<\/p>\n
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-6\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-6-1.png\")
\n\\(\\frac{2}{4}\\) and \\(\\frac{4}{8}\\) are equivalent fractions both gives the same answer.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-7.png\")
\nAnswer: \\(\\frac{3}{3}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-7\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-7-1.png\")
<\/p>\n
\nShade 1 part of the model. Then divide the model into 6 equal parts. Write the equivalent fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-8.png\")
\nAnswer: \\(\\frac{2}{6}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-8\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-8-1.png\")
<\/p>\n
\nQuestion 7.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-9.png\")
\nAnswer: \\(\\frac{4}{8}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-9\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-9-1.png\")
<\/p>\n
\nThe equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
\nHere the numerator of both the fractions is different.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-10.png\")
\nAnswer: \\(\\frac{2}{2}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-10\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-10-1.png\")
<\/p>\n
\nThe equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
\nHere the numerator of both the fractions is different.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-11.png\")
\nAnswer: \\(\\frac{4}{6}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-11\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-11-1.png\")
<\/p>\n
\nThe equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
\nHere the numerator of both the fractions is different.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-12.png\")
\nAnswer: \\(\\frac{1}{2}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-12\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-12-1.png\")
<\/p>\n
\nThe equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.
\nHere the numerator of both the fractions is different.<\/p>\n
\nStructure<\/strong>
\nDescartes shades \\(\\frac{3}{4}\\) of a rectangle. Divide and shade the model to show an equivalent fraction for \\(\\frac{3}{4}\\).
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-13.png\")
\nAnswer: \\(\\frac{6}{8}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-13\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-13-1.png\")
<\/p>\n
\nThe number equivalent to \\(\\frac{3}{4}\\) is \\(\\frac{6}{8}\\).
\nSo you have to divide the rectangle into 8 equal parts and shade 6 parts among them.<\/p>\n
\nWhich One Doesn’t Belong?<\/strong>
\nWhich model does not belong with the other three?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-14.png\")
\nAnswer: 4 figure is different<\/p>\n
\nThe fourth figure has 4 parts and 1 part is shaded. So, the name of the fraction is \\(\\frac{1}{4}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-15.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-15\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-15.jpg\")
<\/p>\n
\nYou, Newton, and Descartes divide your submarine sandwiches as shown. You eat 1 part, Newton eats 2 parts, and Descartes eats 2 parts. Who eats the same amount?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-16.png\")
\nAnswer:
\nGiven,
\nYou eat 1 part, Newton eats 2 parts, and Descartes eats 2 parts.
\nYou and Newton eats the same amount<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou and your friend have small pizzas. You cut your pizza sixths. Your friend cuts her pizza into eighths. You eat \\(\\frac{3}{6}\\) of your pizza. Your 6 friend eats the same amount of her pizza. What fraction of her pizza does your friend eat? How many slices does your friend eat? Explain.
\nAnswer:
\nGiven,
\nYou and your friend have small pizzas. You cut your pizza sixths.
\nYour friend cuts her pizza into eighths. You eat \\(\\frac{3}{6}\\) of your pizza. Your 6 friend eats the same amount of her pizza.
\nThat means \\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)
\nThus your friend eats \\(\\frac{3}{4}\\) part of the pizza.<\/p>\n<\/a>Equivalent Fractions Homework & Practice 11.1<\/h3>\n
\nQuestion 1.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-17.png\")
\nAnswer: \\(\\frac{2}{3}\\)<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-17\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-17-1.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-18.png\")
\nAnswer: \\(\\frac{3}{6}\\)<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-18\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-18-1.png\")
<\/p>\n
\nShade 1 part of the model. Then divide the model into 8 equal parts. Write the equivalent fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-19.png\")
\nAnswer: \\(\\frac{2}{8}\\)<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-19](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-19-1-1.png\")
<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-19\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-19-1.png\")
\nExplanation: \\(\\frac{1}{4}\\) and \\(\\frac{2}{8}\\) are equivalent fractions both gives the same answer.<\/p>\n
\nQuestion 4.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-20.png\")
\nAnswer: \\(\\frac{8}{8}\\)<\/p>\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-20\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-20-1.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-21.png\")
\nAnswer: \\(\\frac{3}{4}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-21\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-21-1.png\")
\nExplanation: \\(\\frac{6}{8}\\) and \\(\\frac{3}{4}\\) are equivalent fractions both gives the same answer.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-22.png\")
\nAnswer: \\(\\frac{2}{6}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-22\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-22-1.png\")
\nExplanation: \\(\\frac{1}{3}\\) and \\(\\frac{2}{6}\\) are equivalent fractions both gives the same answer.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-23.png\")
\nAnswer: \\(\\frac{1}{2}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-23\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-23-1.png\")
\nExplanation: \\(\\frac{2}{4}\\) and \\(\\frac{1}{2}\\) are equivalent fractions both gives the same answer.<\/p>\n
\nOpen-Ended<\/strong>
\nDivide one model into an odd number of equal parts and the other model into an even number of equal parts. Then model and write two equivalent fractions.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-24.png\")
\nAnswer: \\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-24\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-24-1.png\")
\nExplanation: \\(\\frac{1}{2}\\) and \\(\\frac{2}{4}\\) are equivalent fractions both gives the same answer.<\/p>\n
\nModeling Real Life<\/strong>
\nYou, Newton, and Descartes divide your portrait canvases as shown. You paint 2 parts, Newton paints 2 parts, and Descartes paints 8 parts. Who paints the same amount of the portrait canvas?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-25.png\")
\nAnswer: You and Descartes<\/p>\n
\nYou, Newton, and Descartes divide your portrait canvases as shown.
\nYou paint 2 parts, Newton paints 2 parts, and Descartes paints 8 parts.
\nYou completed 2 of 2 parts.
\nDescartes paints 8 of 8 parts.
\n\\(\\frac{2}{2}\\) = 1
\n\\(\\frac{8}{8}\\) = 1
\nThus you and Descartes completes the same amount of the portrait canvas.<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou and your friend paint 2 roundabouts for a park. You divide your roundabout into thirds. Your friend divides his roundabout into sixths. You paint \\(\\frac{1}{3}\\) of your roundabout. Your friend paints the same amount of his roundabout. What fraction does your friend paint? Explain.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-26.png\")
\nAnswer:
\nGiven,
\nYou and your friend paint 2 roundabouts for a park. You divide your roundabout into thirds.
\nYour friend divides his roundabout into sixths.
\nYou paint \\(\\frac{1}{3}\\) of your roundabout. Your friend paints the same amount of his roundabout.
\n\\(\\frac{6}{6}\\)<\/p>\n
\nRound to the nearest ten to estimate the sum.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-27.png\")
\nAnswer: 540
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-27\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-27-1.png\")
<\/p>\n
\nThe nearest ten estimation for 431 is 430
\nand for 109 Nearest ten estimation\u00a0 is 110
\nhence
\n430
\n+ 110<\/span>
\n540<\/p>\n
\nRound to the nearest hundred to estimate the sum.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-28.png\")
\nAnswer: 820<\/p>\n
\nThe nearest ten estimation for 551 is 550
\nand for 268 Nearest ten estimation\u00a0 is 270
\n![\"Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-28\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answer-Key-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.1-28-1.png\")
<\/p>\n<\/a>Lesson 11.2 Equivalent Fractions on a Number Line<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-1.png\")
\nUse Fraction Strips to label sixths on the number line.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-2.png\")
\nUse the number lines to complete the equivalent fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-3.png\")
\nAnswer: \\(\\frac{2}{6}\\)
\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-3\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-3-1.png\")
\nExplanation: \\(\\frac{1}{3}\\) and \\(\\frac{2}{6}\\) are equivalent fractions both gives the same answer.<\/p>\n
\nHow can you tell whether fractions are equivalent using a number line?
\nAnswer:
\nStep 1: Locate the original fraction on the number line. We’ll first need to locate our fraction on the number line.
\nStep 2: Divide each your newly created divisions from step 1 into two even spaces.
\nStep 3: Find the equivalent fraction.
\nStep 4: Repeat steps 2 and 3 to find more equivalent fractions.<\/p>\n
\nUse a number line to find an equivalent fraction for \\(\\frac{3}{4}\\).
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-4.png\")
\nStep 1: Plot \\(\\frac{3}{4}\\) on a number line.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-5.png\")
\nStep 2: Divide the number line into eighths. Label each tick mark to show eighths.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-6.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-6\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-6.jpg\")
<\/p>\n
\nUse the number line to find an equivalent fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-7.png\")
\nAnswer: \\(\\frac{4}{6}\\)
\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-7\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-7-1.png\")
\nThe fractions \\(\\frac{2}{3}\\) and \\(\\frac{4}{6}\\) are on the same point.
\nSo, \\(\\frac{2}{3}\\) = \\(\\frac{4}{6}\\)<\/p>\n
\nWrite two fractions that name the point shown.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-8.png\")
\nAnswer: \\(\\frac{2}{4}\\) = \\(\\frac{1}{2}\\)
\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-8\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-8-1.png\")
\nThe fractions \\(\\frac{1}{2}\\) and \\(\\frac{2}{4}\\) are on the same point.
\nSo,\\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)<\/p>\n
\nQuestion 3.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-9.png\")
\nAnswer: \\(\\frac{4}{6}\\) = \\(\\frac{1}{2}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-9\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-9-1.png\")
<\/p>\n
\nSo,\\(\\frac{4}{6}\\) = \\(\\frac{1}{2}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-10.png\")
\nAnswer: \\(\\frac{4}{8}\\) = \\(\\frac{1}{2}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-10\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-10-1.png\")
<\/p>\n
\nSo,\\(\\frac{4}{8}\\) = \\(\\frac{1}{2}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-11.png\")
\nAnswer: \\(\\frac{1}{4}\\) = \\(\\frac{2}{8}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-11\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-11-1.png\")
<\/p>\n
\nSo,\\(\\frac{1}{4}\\) = \\(\\frac{2}{8}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-12.png\")
\nAnswer:\u00a0 \\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-12\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-12-1.png\")
\nThe fractions \\(\\frac{1}{2}\\) and \\(\\frac{2}{4}\\) are on the same point.
\nSo,\\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)<\/p>\n
\nYOU BE THE TEACHER<\/strong>
\nYour friend says \\(\\frac{3}{4}\\) and \\(\\frac{6}{8}\\) are equivalent because they are not the same distance from 0. Is your friend correct? Explain.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-13.png\")
\nAnswer: No your friend is not correct. \\(\\frac{3}{4}\\) and \\(\\frac{6}{8}\\) are equivalent fractions irrespective of the distance on the number line.<\/p>\n
\nReasoning<\/strong>
\nExplain why \\(\\frac{1}{3}\\) is equal to two \\(\\frac{1}{6}\\)s
\nAnswer:
\nDivide \\(\\frac{1}{3}\\) by 2. You get \\(\\frac{1}{6}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-14.png\")
\nModel:
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-15.png\")
\nThey ______ rest at the same point.
\nExplain: No they do not rest at the same point. Because \\(\\frac{2}{3}\\) is not equal to \\(\\frac{2}{6}\\)
\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-15\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-15.jpg\")
<\/p>\n
\nNewton hikes \\(\\frac{7}{8}\\) of a trail. Descartes hikes \\(\\frac{3}{4}\\) of the same trail. Do they hike the same distance along the trail?
\nAnswer:
\nNewton hikes \\(\\frac{7}{8}\\) of a trail. Descartes hikes \\(\\frac{3}{4}\\) of the same trail.
\nYou have to compare both the fractions.
\n\\(\\frac{7}{8}\\) is greater than \\(\\frac{3}{4}\\).
\nBy this, we can say that does not hike the same distance along the trail.<\/p>\n
\nNewton chases Descartes for \\(\\frac{3}{6}\\) mile. Descartes turns around and chases Newton an equal distance.Write two equivalent fractions that can describe how far Descartes chases Newton.
\nAnswer:
\nThe equivalent fractions of \\(\\frac{3}{6}\\) are
\n\\(\\frac{3}{6}\\) \u00d7 \\(\\frac{2}{2}\\) = \\(\\frac{6}{12}\\)
\n\\(\\frac{3}{6}\\) = \\(\\frac{1}{2}\\)
\nThus the two The equivalent fractions of \\(\\frac{3}{6}\\) are \\(\\frac{6}{12}\\), \\(\\frac{1}{2}\\)<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou cut a quiche into 8 equal slices. Your family eats \\(\\frac{1}{2}\\) of the quiche. How many slices does your family eat? Explain.
\nAnswer:
\nGiven,
\nYou cut a quiche into 8 equal slices. Your family eats \\(\\frac{1}{2}\\) of the quiche.
\n\\(\\frac{1}{2}\\) \u00d7 8 = \\(\\frac{1}{4}\\)
\nThus your family eats 4 equal slices.<\/p>\n<\/a>Equivalent Fractions on a Number Line Homework & Practice 11.2<\/h3>\n
\nUse the number line to find an equivalent fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-16.png\")
\nAnswer: \\(\\frac{1}{4}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-16\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-16-1.png\")
\nBy seeing the above number we can find the equivalent fraction of \\(\\frac{2}{8}\\).
\n\\(\\frac{1}{4}\\) and \\(\\frac{2}{8}\\) are on the same point.<\/p>\n
\nWrite two fractions that name the point shown
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-17.png\")
\nAnswer: \\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-17\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-17-1.png\")
<\/p>\n
\n\\(\\frac{1}{2}\\) = \\(\\frac{2}{4}\\)<\/p>\n
\nQuestion 3.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-18.png\")
\nAnswer: \\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-18\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-18-1.png\")
<\/p>\n
\n\\(\\frac{6}{8}\\) = \\(\\frac{3}{4}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-19.png\")
\nAnswer: \\(\\frac{4}{6}\\) = \\(\\frac{2}{3}\\)
\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-19\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-19-1.png\")
<\/p>\n
\n\\(\\frac{4}{6}\\) = \\(\\frac{2}{3}\\)<\/p>\n
\nWhich One Doesn\u2019tBelong?<\/strong>
\nWhich not fraction does belong with the other three? Explain.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-20.png\")
\nAnswer: \\(\\frac{2}{3}\\)<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-20\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-20-1.png\")
\nThe fraction \\(\\frac{2}{3}\\) does not belong to other three fractions.<\/p>\n
\nReasoning<\/strong>
\nHow do you know that \\(\\frac{3}{8}\\) and \\(\\frac{3}{4}\\) are equivalent when plotting the fractions on a number line?
\nAnswer:
\nNo, they are not equivalent. The numerators are equals, but the denominators are not, they are not equivalent. If the first one would be 6\/8, they would be equivalent, because we can simplify the fractions by 2 and we got 3\/4 again.<\/p>\n
\nModeling Real Life<\/strong>
\nYou run \\(\\frac{6}{8}\\) of a race. Your friend runs \\(\\frac{3}{4}\\) of the same race. Do you and your friend run the same distance?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-21.1.png\")
\nAnswer:
\nGiven,
\nYou run \\(\\frac{6}{8}\\) of a race. Your friend runs \\(\\frac{3}{4}\\) of the same race.
\nThe equivalent fraction of \\(\\frac{3}{4}\\) is \\(\\frac{6}{8}\\)
\nBy this we can say that you and your friend run the same distance.<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou have a frame that holds 8 pictures. You fill \\(\\frac{1}{4}\\) of the frame. How many pictures do you put in the frame? Explain.
\nAnswer:
\nGiven,
\nYou have a frame that holds 8 pictures. You fill \\(\\frac{1}{4}\\) of the frame.
\n\\(\\frac{1}{4}\\) \u00d7 8 = 2
\nThus you put 2 pictures in the frame.<\/p>\n
\nQuestion 9.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-21.png\")
\nAnswer: \\(\\frac{2}{3}\\)
\nBy seeing the figure we can name the fraction of the shaded part. The box is divided into 3 parts among them 2 parts are shaded.<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-21\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-21-1.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-22.png\")
\nAnswer: \\(\\frac{4}{6}\\)
\nBy seeing the figure we can name the fraction of the shaded part. The circle is divided into 6 parts among them 4 parts are shaded.<\/p>\n![\"Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-22\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-3rd-Grade-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.2-22-1.png\")
<\/p>\n<\/a>Lesson 11.3 Relate Fractions and Whole Numbers<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-1.png\")
\nAnswer:<\/p>\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-1\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-1-1.png\")
<\/p>\n
\nHow many more fourths did you use to model 2 than you did to model 1? How many more fourths would you need to model 3? Complete the fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-2.png\")
\nAnswer: 12
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-2\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-2-1.png\")
<\/p>\n
\nWrite the numbers 1 and 2 as fractions. The number line shows 2 wholes. Each whole is divided into1 equal part.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-3.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-3\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-3.jpg\")
<\/p>\n
\nWrite equivalent fractions for the numbers 1 and 2.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-4.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-4\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-4.jpg\")
<\/p>\n
\nComplete the number line. Then complete the statements.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-5.png\")
\nAnswer:<\/p>\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-5\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-5-1.png\")
<\/p>\n
\nComplete the number line. Then write equivalent fractions for the numbers 3 and 4.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-6.png\")
\nAnswer:<\/p>\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-6\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-6-1.png\")
<\/p>\n
\nQuestion 3.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-7.png\")
\nAnswer:<\/p>\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-7\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-7-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-8.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-8\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-8-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-9.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-9\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-9-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\nQuestion 6.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-10.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-10\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-10-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-11.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-11\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-11-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-12.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-12\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-12-1.png\")
<\/p>\n
\nYou cut a sandwich into 4 pieces. You eat the whole sandwich. What fraction of the sandwich do you eat?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-13.png\")
\nAnswer:
\nGiven,
\nYou cut a sandwich into 4 pieces. You eat the whole sandwich.
\n\\(\\frac{4}{4}\\) = 1
\nThus you eat \\(\\frac{4}{4}\\) fraction of the sandwich.<\/p>\n
\nNumber Sense<\/strong>
\nWrite three fractions that are equivalent to 6 using the denominators 1, 2, and 6.
\nAnswer:
\n\\(\\frac{6}{6}\\) = 1
\n\\(\\frac{12}{6}\\) = 2
\n\\(\\frac{36}{6}\\) = 6<\/p>\n
\nUse a number line to show \\(\\frac{5}{5}\\) = 1.
\nAnswer:
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Book-3rd-Grade-Answer-Key-Chapter-11.jpg\")
<\/p>\n
\nModel:
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-14.png\")
\nYou run _____ or ______ miles.<\/p>\n
\nGiven,
\nYou run around a track 12 times. Each lap is \\(\\frac{1}{4}\\) mile.
\n12 \u00d7 \\(\\frac{1}{4}\\) = 3 mile
\nYou run 3 miles.<\/p>\n
\nYou ride your bike around a city block 24 times. Each time around is \\(\\frac{1}{6}\\) mile. How many miles do you ride? Write your answer as a 6 whole number and as a fraction.
\nAnswer:
\nGiven,
\nYou ride your bike around a city block 24 times. Each time around is \\(\\frac{1}{6}\\) mile.
\n24 \u00d7 \\(\\frac{1}{6}\\) = 4
\nThus you ride 4 miles.<\/p>\n
\nThere are 5 Great Lakes: Lake Erie, Lake Huron, Lake Michigan, Lake Ontario, and Lake Superior. You complete a project and use 1 whole poster for each lake. Write a fraction that gives the number of posters you use in all.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-15.png\")
\nAnswer:
\nLake Michigan is \\(\\frac{1}{1}\\)
\nLake Huron is \\(\\frac{2}{1}\\)
\nLake Erie is \\(\\frac{3}{1}\\)
\nLake Ontario is \\(\\frac{4}{1}\\)
\nLake Superior is \\(\\frac{5}{1}\\)<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou and your friends order 3 pizzas. Each pizza is cut into 8 slices. You and your friends eat \\(\\frac{16}{8}\\) of the pizzas. Write a fraction that shows the number of eighths that are left.
\nAnswer:
\nGiven that,
\nYou and your friends order 3 pizzas. Each pizza is cut into 8 slices.
\nYou and your friends eat \\(\\frac{16}{8}\\) of the pizzas.
\n3 \u00d7 8 = 24 slices
\n\\(\\frac{24}{8}\\)– \\(\\frac{16}{8}\\) = \\(\\frac{8}{8}\\)
\nThus 8 slices are left in the pizza.<\/p>\n<\/a>Equivalent Fractions on a Number Line Homework & Practice 11.3<\/h3>\n
\nComplete the number line. Then write equivalent fractions for the numbers 3 and 4.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-16.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-16\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-16-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\nQuestion 2.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-17.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-17\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-17-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-18.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-18\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-18-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-19.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-19\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-19-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\nQuestion 5.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-20.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-20\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-20-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-21.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-21\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-21-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-22.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-22\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-22-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\nPrecision<\/strong>
\nMatch each whole number to its equivalent fractions.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-23.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-23\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-23-1.png\")
\nExplanation: The equivalent fractions can be defined as fractions with different numerators and denominators that represent the same value or proportion of the whole.<\/p>\n
\nYOU BE THE TEACHER<\/strong>
\nDescartes says a fraction equivalent to 3 has a 3 in the denominator and a 1 in the numerator. Is Descartes correct? Explain.
\nAnswer:
\nDescartes says a fraction equivalent to 3 has a 3 in the denominator and a 1 in the numerator.
\nYes 3 is equivalent to \\(\\frac{3}{1}\\)
\nThus Descartes is correct.<\/p>\n
\nPatterns<\/strong>
\nDescribe and complete the pattern.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-24.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-24\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-24-1.png\")
\nThe fraction is the multiples of 8. So, the pattern is 8\/8, 16\/8, 24\/8, 32\/8, 40\/8.<\/p>\n
\nModeling Real Life<\/strong>
\nYou run around a park 18 times. Each lap is \\(\\frac{1}{6}\\) mile. How many miles do you run? Write your answer as a whole number and as a fraction.
\nAnswer:
\nGiven that,
\nYou run around a park 18 times. Each lap is \\(\\frac{1}{6}\\) mile.
\n18 \u00d7 \\(\\frac{1}{6}\\) = 3
\nThus you run 3 miles or \\(\\frac{18}{6}\\) miles<\/p>\n
\nModeling Real Life<\/strong>
\nChristopher Columbus had 3 ships on his first Ni\u00f1aPintavoyage: the , the , and the Santa Maria. You complete a project and use 1 whole poster for each ship. Write a fraction that gives the number of posters you use in all.
\nAnswer:
\nGiven,
\nChristopher Columbus had 3 ships on his first Ni\u00f1aPintavoyage: the , the , and the Santa Maria.
\nYou complete a project and use 1 whole poster for each ship.
\n\\(\\frac{3}{3}\\) = 1
\nThus you use 1 poster for each ship.
\nThus you use 3 posters for all the ships.<\/p>\n
\nDIG DEEPER!<\/strong>
\nA teacher has 4 tables. Each table is divided into 4 sections. \\(\\frac{12}{4}\\) of the tables have 4 supplies on them. Write a fraction that shows the number of fourths not that do have supplies on them.
\nAnswer:
\nGiven,
\nA teacher has 4 tables. Each table is divided into 4 sections.
\n4 \u00d7 4 = 16 sections
\n\\(\\frac{12}{4}\\) of the tables have 4 supplies on them.
\n\\(\\frac{12}{4}\\) = 3
\n3 of the tables have 4 supplies.
\nThe fraction that shows the number of fourths not that do have supplies on them is \\(\\frac{3}{4}\\)<\/p>\n
\nQuestion 14.
\nEstimate: _____
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-25.png\")
\nAnswer: 890<\/p>\n
\nThe nearest ten estimation for 837 is 840
\nand for 46 Nearest ten estimation\u00a0 is 50
\n840
\n+\u00a0 50
\n890<\/span><\/p>\n
\nEstimate: _____
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-26.png\")
\nAnswer: 510<\/p>\n
\nThe nearest ten estimation for 396 is 400
\nand for 108 Nearest ten estimation\u00a0 is 110
\n400
\n+ 110<\/span>
\n510<\/p>\n
\nEstimate: _____
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Answers-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.3-27.png\")
\nAnswer: 830<\/p>\n
\nThe nearest ten estimation for 551 is 550
\nand for 279 Nearest ten estimation\u00a0 is 280
\n550
\n+ 280<\/span>
\n830<\/p>\n<\/a>Lesson 11.4 Compare Fractions with the Same Denominator<\/h3>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-1.png\")
\nAnswer: \\(\\frac{5}{6}\\) is the greater fraction<\/p>\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-1\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-1-1.png\")
<\/p>\n
\nExplain to your partner how you can compare fractions with the same denominator.
\nAnswer:
\nif the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction<\/p>\n
\nCompare \\(\\frac{3}{8}\\) and \\(\\frac{7}{8}\\).
\nOne Way: Use Fraction Strips.
\nThe fractions have the same denominator, 8.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-2.png\")
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-3.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-3\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-3.jpg\")
<\/p>\n
\nWhen the denominators are the same, the whole is divided into the same number of equal parts. So, look at the numerators 3 and 7 to compare.The fraction with the greater numerator is the greater fraction.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-4.png\")
<\/p>\n
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-4\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-4-1.png\")
<\/p>\n
\nQuestion 1.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-5.png\")
\nAnswer:<\/p>\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-5\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-5-1.png\")
\nExplanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-6.png\")
\nAnswer:<\/p>\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-6\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-6-1.png\")
<\/p>\n
\nQuestion 3.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-7.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-7\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-7-1.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-8.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-8\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-8-1.png\")
<\/p>\n
\nQuestion 5.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-9.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-9\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-9-1.png\")
<\/p>\n
\nCompare the fractions. The denominators of both the fractions are the same so you have to compare the numerators.
\n2 is less than 3.
\nSo, \\(\\frac{2}{3}\\) < \\(\\frac{3}{3}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-10.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-10\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-10-1.png\")
\nCompare the fractions. The denominators of both the fractions are the same so you have to compare the numerators.
\nSo, \\(\\frac{1}{2}\\) = \\(\\frac{1}{2}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-11.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-11\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-11-1.png\")
<\/p>\n
\nCompare the fractions. The denominators of both the fractions are the same so you have to compare the numerators.
\n3 is greater than 1.
\nSo, \\(\\frac{3}{8}\\) > \\(\\frac{1}{8}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-12.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-12\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-12-1.png\")
<\/p>\n
\nCompare the fractions. The denominators of both the fractions are the same so you have to compare the numerators.
\n4 is greater than 2.
\nSo, \\(\\frac{4}{6}\\) > \\(\\frac{2}{6}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-13.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-13\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-13-1.png\")
<\/p>\n
\nCompare the fractions. The denominators of both the fractions are the same so you have to compare the numerators.
\n5 is less than 6.
\nSo, \\(\\frac{5}{8}\\) < \\(\\frac{6}{8}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-14.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-14\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-14-1.png\")
<\/p>\n
\nCompare the fractions. The denominators of both the fractions are the same so you have to compare the numerators.
\n0 is less than 1.
\nSo, \\(\\frac{0}{4}\\) < \\(\\frac{1}{4}\\)<\/p>\n
\nNumber Sense<\/strong>
\nWhich statements are true?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-15.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-15\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-15-1.png\")
<\/p>\n
\nWriting<\/strong>
\nHow can you show that \\(\\frac{3}{8}\\) is less than \\(\\frac{6}{8}\\)?
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-7](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-7-1-1.png\")
<\/p>\n
\nCompare the fractions. The denominators of both the fractions are the same so you have to compare the numerators.
\n3 is less than 6.
\nSo, \\(\\frac{3}{8}\\) < \\(\\frac{6}{8}\\)<\/p>\n
\nStructure<\/strong>
\nWhich statement correctly compares the fraction of circles shaded in Group A to the fraction of circles shaded in Group B?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-16.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-16\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-16-1.png\")
<\/p>\n
\nModel:
\n______ finishes more of his chores.
\nExplain:<\/p>\n
\nGiven,
\nNewton and Descartes have the same number of chores.
\nNewton finishes \\(\\frac{2}{3}\\) of his chores. Descartes finishes \\(\\frac{1}{3}\\) of his chores.
\nCompare both the fractions \\(\\frac{2}{3}\\) and \\(\\frac{1}{3}\\)
\n\\(\\frac{2}{3}\\) > \\(\\frac{1}{3}\\)
\nTherefore Newton finishes more of his chores.<\/p>\n
\nAt the pet store, a green lizard is \\(\\frac{5}{6}\\) foot long. A brown lizard is \\(\\frac{6}{6}\\) foot long. You pick up the longer lizard. Which lizard do you pick up?
\nAnswer:
\nGiven,
\nAt the pet store, a green lizard is \\(\\frac{5}{6}\\) foot long.
\nA brown lizard is \\(\\frac{6}{6}\\) foot long. You pick up the longer lizard.
\nCompare both the fractions \\(\\frac{5}{6}\\) and \\(\\frac{6}{6}\\)
\n\\(\\frac{5}{6}\\) < \\(\\frac{6}{6}\\)
\nTherefore you pick up brown lizard.<\/p>\n
\nYou and a friend each have a burrito. The burritos are the same size. You eat \\(\\frac{3}{4}\\) of your burrito. Your friend eats \\(\\frac{1}{4}\\) of his burrito. Who has less burrito left to eat? Explain.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-17.png\")
\nAnswer:
\nGiven,
\nYou and a friend each have a burrito. The burritos are the same size.
\nYou eat \\(\\frac{3}{4}\\) of your burrito. Your friend eats \\(\\frac{1}{4}\\) of his burrito.
\n\\(\\frac{3}{4}\\) > \\(\\frac{1}{4}\\)
\nYou have less burrito left to eat.<\/p>\n
\nDIG DEEPER!<\/strong>
\nYou walk \\(\\frac{5}{8}\\) of the distance to the library from your home. Your friend walks \\(\\frac{5}{8}\\) of the distance to school from his home. You walk a greater distance than your friend. Explain how this is possible.
\nAnswer:
\nGiven,
\nYou walk \\(\\frac{5}{8}\\) of the distance to the library from your home. Your friend walks \\(\\frac{5}{8}\\) of the distance to school from his home.
\n\\(\\frac{5}{8}\\) = \\(\\frac{5}{8}\\)<\/p>\n<\/a>Compare Fractions with the Same Denominator Homework & Practice 11.4<\/h3>\n
\nQuestion 1.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-18.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-18\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-18-1.png\")
<\/p>\n
\n3 is greater than 1
\nSo, \\(\\frac{3}{4}\\) > \\(\\frac{1}{4}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-19.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-19\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-19-1.png\")
\nif the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction
\n\\(\\frac{1}{2}\\) < \\(\\frac{2}{2}\\)<\/p>\n
\nQuestion 3.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-20.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-20\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-20-1.png\")
\nExplanation: if the denominators are the same, then the fraction with the greater numerator is the greater fraction. The fraction with the lesser numerator is the lesser fraction.
\n5 is less than 7.
\nSo, \\(\\frac{5}{8}\\) < \\(\\frac{7}{8}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-21.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-21\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-21-1.png\")
<\/p>\n
\n6 is greater than 5.
\nSo, \\(\\frac{6}{6}\\) > \\(\\frac{5}{6}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-22.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-22\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-22-1.png\")
<\/p>\n
\n1 is less than 2.
\nSo, \\(\\frac{1}{3}\\) < \\(\\frac{2}{3}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-23.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-23\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-23-1.png\")
<\/p>\n
\n2 is less than 4.
\nSo, \\(\\frac{2}{4}\\) < \\(\\frac{4}{4}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-24.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-24\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-24-1.png\")
<\/p>\n
\n0 is less than 1.
\nSo, \\(\\frac{0}{3}\\) < \\(\\frac{1}{3}\\)<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-25.png\")
\nAnswer:
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-25\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-25-1.png\")
<\/p>\n
\n3 is less than 4.
\nSo, \\(\\frac{3}{6}\\) < \\(\\frac{4}{6}\\)<\/p>\n
\nYOU BE THE TEACHER<\/strong>
\nYour friend says \\(\\frac{3}{4}>\\frac{2}{4}\\). Is your friend correct? Explain.
\nAnswer: Your friend is correct.
\n\\(\\frac{3}{4}\\) = 0.75
\n\\(\\frac{1}{2}\\) = 0.50
\n\\(\\frac{3}{4}>\\frac{2}{4}\\)<\/p>\n
\nLogic<\/strong>
\nTwo fractions are equivalent and have the same denominator. What must be true about the numerators of the fractions?
\nAnswer:
\nTwo fractions are equivalent fractions when they represent the same part of a whole. Since equivalent fractions do not always have the same numerator and denominator, one way to determine if two fractions are equivalent is to find a common denominator and rewrite each fraction with that denominator.<\/p>\n
\nWrite a number to make the statement true.
\nQuestion 11.
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-26.png\")
\nAnswer: 5<\/p>\n
\nHere the denominators of both the fractions are the same. You have to write the numerator of less than 6.
\nSo, to make the statement true we are writing 5.
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-26\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-26-1.png\")
<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-27.png\")
\nAnswer: 4
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-27\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-27-1.png\")
<\/p>\n
\nHere the denominators of both the fractions are the same. You have to write the numerator of greater than 2.
\nSo, to make the statement true we are writing 4.<\/p>\n
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-28.png\")
\nAnswer: 1
\n![\"Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-28\"](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-28-1.png\")
<\/p>\n
\nHere the denominators of both the fractions are the same. You have to write the numerator of less than 4.
\nSo, to make the statement true we are writing 1.<\/p>\n
\nModeling Real Life<\/strong>
\nYou and your friend had the same number of baby teeth. You have lost \\(\\frac{3}{4}\\) of your baby teeth. Your friend has lost \\(\\frac{2}{4}\\) of her baby teeth. Who has lost more teeth?
\n![\"Big](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/12\/Big-Ideas-Math-Solutions-Grade-3-Chapter-11-Understand-Fraction-Equivalence-and-Comparison-11.4-29.png\")
\nAnswer: you have lost more teeth<\/p>\n