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## Grade 3 Go Math Answer Key Chapter 9 Compare Fractions Extra Practice

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### Common Core – Page No. 189000

**Lesson 9.1**

**Solve. Show your work.**

Question 1.

Nick finished \(\frac{4}{8}\) of his homework before dinner. Ed finished \(\frac{7}{8}\) of his homework before dinner. Who finished the greater part of his homework?

_____

Answer: Ed

Explanation:

Compare the fractions \(\frac{4}{8}\) and \(\frac{7}{8}\)

The denominator of both the fractions is the same. So, compare the numerators.

The numerator with the greatest number will be the greatest fraction.

7 is greater than 4.

\(\frac{7}{8}\) > \(\frac{4}{8}\)

Therefore Ed finished the greater part of his homework.

Question 2.

Rafael walked \(\frac{2}{3}\) mile and then rode his scooter \(\frac{2}{6}\) mile. Which distance is farther?

\(\frac{□} {□}\) mile is farther

Answer: \(\frac{2}{3}\)

Explanation:

Rafael walked \(\frac{2}{3}\) mile and then rode his scooter \(\frac{2}{6}\) mile.

The numerator of both the fractions is the same but the denominators are different.

The fraction is smaller if the denominator is greater.

Thus \(\frac{2}{3}\) > \(\frac{2}{6}\)

\(\frac{2}{3}\) mile is farther.

**Lessons 9.2–9.3**

**Compare. Write <, >, or =.**

Question 3.

\(\frac{2}{6}\) _____ \(\frac{3}{6}\)

Answer: \(\frac{2}{6}\) < \(\frac{3}{6}\)

Explanation:

Compare the fractions \(\frac{2}{6}\) and \(\frac{3}{6}\)

The denominators are the same and the numerators are different.

So compare the numerators of two fractions.

2 is less than 3.

So, \(\frac{2}{6}\) < \(\frac{3}{6}\)

Question 4.

\(\frac{6}{8}\) _____ \(\frac{1}{8}\)

Answer: \(\frac{6}{8}\) > \(\frac{1}{8}\)

Explanation:

Compare \(\frac{6}{8}\) and \(\frac{1}{8}\)

The denominators are the same and the numerators are different.

6 is greater than 1.

\(\frac{6}{8}\) > \(\frac{1}{8}\)

Question 5.

\(\frac{3}{8}\) _____ \(\frac{3}{4}\)

Answer: \(\frac{3}{8}\) < \(\frac{3}{4}\)

Explanation:

Compare the fractions \(\frac{3}{8}\) and \(\frac{3}{4}\)

The numerators are the same and denominators are different.

Compare the denominators of two fractions.

The fraction with lesser number will be the greatest.

\(\frac{3}{8}\) < \(\frac{3}{4}\)

Question 6.

\(\frac{1}{6}\) _____ \(\frac{1}{8}\)

Answer: \(\frac{1}{6}\) > \(\frac{1}{8}\)

Explanation:

The numerator of both the fractions is the same.

The denominator with the greatest number will be the smallest fraction.

So, \(\frac{1}{6}\) > \(\frac{1}{8}\)

Question 7.

\(\frac{2}{3}\) _____ \(\frac{2}{6}\)

Answer: \(\frac{2}{3}\) > \(\frac{2}{6}\)

Explanation:

The numerator of both the fractions is the same.

The denominator with the greatest number will be the smallest fraction.

\(\frac{2}{3}\) > \(\frac{2}{6}\)

Question 8.

\(\frac{1}{8}\) _____ \(\frac{3}{8}\)

Answer: \(\frac{1}{8}\) < \(\frac{3}{8}\)

Explanation:

The denominator of both the fractions is the same.

So, compare the numerators. The fraction with the small number will be the smallest fraction.

\(\frac{1}{8}\) < \(\frac{3}{8}\)

**Lesson 9.4**

**Compare. Write <, >, or = . Write the strategy you used.**

Question 9.

\(\frac{2}{8}\) _____ \(\frac{2}{3}\)

Answer: \(\frac{2}{8}\) < \(\frac{2}{3}\)

Explanation:

The numerator of both the fractions is the same.

Compare the denominators.

The denominator with the greatest number will be the smallest fraction.

\(\frac{2}{8}\) < \(\frac{2}{3}\)

Question 10.

\(\frac{5}{6}\) _____ \(\frac{1}{6}\)

Answer: \(\frac{5}{6}\) > \(\frac{1}{6}\)

Explanation:

The denominator of both the fractions is the same.

The fraction with the small number will be the smallest fraction.

5 is greater than 1.

\(\frac{5}{6}\) > \(\frac{1}{6}\)

Question 11.

\(\frac{7}{8}\) _____ \(\frac{3}{4}\)

Answer: \(\frac{7}{8}\) > \(\frac{3}{4}\)

Explanation:

Compare \(\frac{7}{8}\) and \(\frac{3}{4}\)

Make the denominators equal to compare the fractions.

\(\frac{3}{4}\) × \(\frac{8}{8}\) = \(\frac{24}{32}\)

\(\frac{7}{8}\) × \(\frac{4}{4}\) = \(\frac{28}{32}\)

\(\frac{28}{32}\) > \(\frac{24}{32}\)

\(\frac{7}{8}\) > \(\frac{3}{4}\)

### Common Core – Page No. 190000

**Lesson 9.5**

**Write the fractions in order from greatest to least.**

Question 1.

\(\frac{1}{2}, \frac{1}{4}, \frac{1}{3}\)

Type below:

__________

Answer: \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}\)

Explanation:

The numerator of the three fractions is the same.

So, the order from greatest to least is \(\frac{1}{2}, \frac{1}{3}, \frac{1}{4}\)

Question 2.

\(\frac{4}{6}, \frac{1}{6}, \frac{2}{6}\)

Type below:

__________

Answer: \(\frac{4}{6}, \frac{2}{6}, \frac{1}{6}\)

Explanation:

The denominator of the three fractions is the same.

Compare the numerator of the fraction.

4 > 2 > 1

\(\frac{4}{6}, \frac{2}{6}, \frac{1}{6}\)

Question 3.

\(\frac{3}{6}, \frac{3}{4}, \frac{3}{8}\)

Type below:

__________

Answer: \(\frac{3}{4}, \frac{3}{6}, \frac{3}{8}\)

Explanation:

The numerator of the three fractions is the same.

So, the order is \(\frac{3}{4}, \frac{3}{6}, \frac{3}{8}\)

Question 4.

\(\frac{6}{8}, \frac{3}{8}, \frac{5}{8}\)

Type below:

__________

Answer: \(\frac{6}{8}, \frac{5}{8}, \frac{3}{8}\)

Explanation:

The denominator of the three fractions is the same.

Compare the numerator and write the order from greatest to least fraction.

\(\frac{6}{8}, \frac{5}{8}, \frac{3}{8}\)

**Lessons 9.6–9.7**

**Shade the model. Then divide the pieces to find the equivalent fraction.**

Question 5.

\(\frac{1}{4}=\frac{■}{8}\)

\(\frac{1}{4}\) = \(\frac{□} {□}\)

Answer: \(\frac{1}{4}\) = \(\frac{2} {8}\)

Explanation:

\(\frac{1}{4}\) = \(\frac{2} {8}\)

Question 6.

\(\frac{2}{3}=\frac{■}{6}\)

\(\frac{2}{3}\) = \(\frac{□} {□}\)

Answer: \(\frac{2}{3}\) = \(\frac{4} {6}\)

Explanation:

\(\frac{2}{3}\) = \(\frac{4} {6}\)

**Use the number line to find the equivalent fraction.**

Question 7.

\(\frac{1}{2}=\frac{■}{8}\)

\(\frac{1}{2}\) = \(\frac{□} {□}\)

Answer: \(\frac{1}{2}\) = \(\frac{4} {8}\)

Explanation:

Question 8.

\(\frac{2}{2}=\frac{■}{6}\)

\(\frac{2}{2}\) = \(\frac{□} {□}\)

Answer: \(\frac{2}{2}\) = \(\frac{6} {6}\)

Explanation:

**Each shape is 1 whole. Shade the model to find the equivalent fraction.**

Question 9.

\(\frac{3}{4}=\frac{■}{8}\)

\(\frac{3}{4}\) = \(\frac{□} {□}\)

Answer: \(\frac{3}{4}\) = \(\frac{6} {8}\)

Explanation:

\(\frac{3}{4}\) = \(\frac{6} {8}\)

Question 10.

\(\frac{1}{2}=\frac{■}{6}\)

\(\frac{1}{2}\) = \(\frac{□} {□}\)

Answer: \(\frac{1}{2}\) = \(\frac{3} {6}\)

Explanation:

\(\frac{1}{2}\) = \(\frac{3} {6}\)

### Conclusion

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