## Engage NY Eureka Math 5th Grade Module 6 Lesson 23 Answer Key

### Eureka Math Grade 5 Module 6 Lesson 23 Sprint Answer Key

A

Change Mixed Numbers into Improper Fractions

Question 1.

1\(\frac{1}{5}\) =

Answer:

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

Question 2.

2\(\frac{1}{5}\) =

Answer:

2\(\frac{1}{5}\) = \(\frac{11}{5}\)

Question 3.

3\(\frac{1}{5}\) =

Answer:

3\(\frac{1}{5}\) = \(\frac{16}{5}\)

Question 4.

4\(\frac{1}{5}\) =

Answer:

4 \(\frac{1}{5}\) = \(\frac{21}{5}\)

Question 5.

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

Answer:

1\(\frac{1}{4}\) = \(\frac{5}{4}\)

Question 6.

1\(\frac{3}{4}\) =

Answer:

1\(\frac{3}{4}\) = \(\frac{7}{4}\)

Question 7.

1\(\frac{2}{5}\) =

Answer:

1\(\frac{2}{5}\) = \(\frac{7}{5}\)

Question 8.

1\(\frac{3}{5}\) =

Answer:

1\(\frac{3}{5}\) = \(\frac{8}{5}\)

Question 9.

1\(\frac{4}{5}\) =

Answer:

1\(\frac{4}{5}\) = \(\frac{9}{5}\)

Question 10.

2\(\frac{4}{5}\) =

Answer:

2\(\frac{4}{5}\) = \(\frac{14}{5}\)

Question 11.

3\(\frac{4}{5}\) =

Answer:

3\(\frac{4}{5}\) = \(\frac{19}{5}\)

Question 12.

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

Answer:

2\(\frac{1}{4}\) = \(\frac{9}{4}\)

Question 13.

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

Answer:

2\(\frac{3}{4}\) = \(\frac{11}{4}\)

Question 14.

3\(\frac{1}{4}\) =

Answer:

3\(\frac{1}{4}\) = \(\frac{13}{4}\)

Question 15.

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

Answer:

3\(\frac{3}{4}\) = \(\frac{15}{4}\)

Question 16.

4\(\frac{1}{3}\) =

Answer:

4\(\frac{1}{3}\) = \(\frac{1}3{3}\)

Question 17.

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

Answer:

4\(\frac{2}{3}\) = \(\frac{14}{3}\)

Question 18.

2\(\frac{3}{5}\) =

Answer:

2\(\frac{3}{5}\) = \(\frac{13}{5}\)

Question 19.

3\(\frac{3}{5}\) =

Answer:

3\(\frac{3}{5}\) = \(\frac{18}{5}\)

Question 20.

4\(\frac{3}{5}\) =

Answer:

4\(\frac{3}{5}\) = \(\frac{23}{5}\)

Question 21.

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

Answer:

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

Question 22.

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

Answer:

3\(\frac{1}{8}\) = \(\frac{25}{8}\)

Question 23.

2\(\frac{7}{10}\) =

Answer:

2\(\frac{7}{10}\) = \(\frac{27}{10}\)

Question 24.

4\(\frac{9}{10}\) =

Answer:

4\(\frac{9}{10}\) =\(\frac{49}{10}\)

Question 25.

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

Answer:

1\(\frac{1}{8}\) = \(\frac{9}{8}\)

Question 26.

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

Answer:

1\(\frac{5}{6}\) = \(\frac{11}{6}\)

Question 27.

4\(\frac{5}{6}\) =

Answer:

4\(\frac{5}{6}\) = \(\frac{29}{6}\)

Question 28.

4\(\frac{5}{8}\) =

Answer:

4\(\frac{5}{8}\) = \(\frac{37}{8}\)

Question 29.

1\(\frac{5}{8}\) =

Answer:

1\(\frac{5}{8}\) = \(\frac{13}{8}\)

Question 30.

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

Answer:

2\(\frac{3}{8}\) = \(\frac{19}{8}\)

Question 31.

3\(\frac{3}{10}\) =

Answer:

3\(\frac{3}{10}\) = \(\frac{33}{10}\)

Question 32.

4\(\frac{7}{10}\) =

Answer:

4\(\frac{7}{10}\) = \(\frac{47}{10}\)

Question 33.

4\(\frac{4}{5}\) =

Answer:

4\(\frac{4}{5}\) = \(\frac{24}{5}\)

Question 34.

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

Answer:

4\(\frac{1}{8}\) = \(\frac{33}{8}\)

Question 35.

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

Answer:

4\(\frac{3}{8}\) = \(\frac{35}{8}\)

Question 36.

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

Answer:

4\(\frac{7}{8}\) = \(\frac{39}{8}\)

Question 37.

1\(\frac{5}{12}\) =

Answer:

1\(\frac{5}{12}\) = \(\frac{17}{12}\)

Question 38.

1\(\frac{7}{12}\) =

Answer:

1\(\frac{7}{12}\) = \(\frac{19}{12}\)

Question 39.

2\(\frac{1}{12}\) =

Answer:

2\(\frac{1}{12}\) = \(\frac{25}{12}\)

Question 40.

3\(\frac{1}{12}\) =

Answer:

3\(\frac{1}{12}\)= \(\frac{37}{12}\)

Question 41.

2\(\frac{7}{12}\) =

Answer:

2\(\frac{7}{12}\) = \(\frac{31}{12}\)

Question 42.

3\(\frac{5}{12}\) =

Answer:

3\(\frac{5}{12}\) = \(\frac{41}{12}\)

Question 43.

3\(\frac{11}{12}\) =

Answer:

3\(\frac{11}{12}\) = \(\frac{47}{12}\)

Question 44.

4\(\frac{7}{12}\) =

Answer:

4\(\frac{7}{12}\) = \(\frac{55}{12}\)

B

Change Mixed Numbers into Improper Fractions

Question 1.

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

Answer:

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

Question 2.

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

Answer:

2\(\frac{1}{2}\) = \(\frac{5}{2}\)

Question 3.

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

Answer:

3\(\frac{1}{2}\) = \(\frac{7}{2}\)

Question 4.

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

Answer:

4\(\frac{1}{2}\) = \(\frac{9}{2}\)

Question 5.

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

Answer:

1\(\frac{1}{3}\) = \(\frac{4}{3}\)

Question 6.

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

Answer:

1\(\frac{2}{3}\) = \(\frac{5}{3}\)

Question 7.

1\(\frac{3}{10}\) =

Answer:

1\(\frac{3}{10}\) = \(\frac{13}{10}\)

Question 8.

1\(\frac{7}{10}\) =

Answer:

1\(\frac{7}{10}\) = \(\frac{17}{10}\)

Question 9.

1\(\frac{9}{10}\) =

Answer:

1\(\frac{9}{10}\) = \(\frac{19}{10}\)

Question 10.

2\(\frac{9}{10}\) =

Answer:

2\(\frac{9}{10}[/latex = [latex]\frac{29}{10}[/latex

Question 11.

3[latex]\frac{9}{10}\) =

Answer:

3\(\frac{9}{10}[/latex = [latex]\frac{39}{10}[/latex

Question 12.

2[latex]\frac{1}{3}\) =

Answer:

2\(\frac{1}{3}\) = \(\frac{7}{3}\)

Question 13.

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

Answer:

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

Question 14.

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

Answer:

3\(\frac{1}{3}\) = \(\frac{10}{3}\)

Question 15.

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

Answer:

3\(\frac{2}{3}\) = \(\frac{11}{3}\)

Question 16.

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

Answer:

4\(\frac{1}{4}\) = \(\frac{17}{4}\)

Question 17.

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

Answer:

4\(\frac{3}{4}\) = \(\frac{19}{4}\)

Question 18.

2\(\frac{2}{5}\) =

Answer:

2\(\frac{2}{5}\) = \(\frac{12}{5}\)

Question 19.

3\(\frac{2}{5}\) =

Answer:

3\(\frac{2}{5}\) = \(\frac{17}{5}\)

Question 20.

4\(\frac{2}{5}\) =

Answer:

4\(\frac{2}{5}\) = \(\frac{22}{5}\)

Question 21.

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

Answer:

3\(\frac{1}{6}\) = \(\frac{19}{6}\)

Question 22.

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

Answer:

2\(\frac{1}{8}\) = \(\frac{17}{6}\)

Question 23.

2\(\frac{3}{10}\) =

Answer:

2\(\frac{3}{10}\) = \(\frac{23}{10}\)

Question 24.

3\(\frac{1}{10}\) =

Answer:

3\(\frac{1}{10}\) = \(\frac{31}{10}\)

Question 25.

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

Answer:

1\(\frac{1}{6}\) = \(\frac{7}{6}\)

Question 26.

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

Answer:

1\(\frac{3}{8}\) = \(\frac{11}{8}\)

Question 27.

3\(\frac{5}{6}\) =

Answer:

3\(\frac{5}{6}\) = \(\frac{23}{6}\)

Question 28.

3\(\frac{5}{8}\) =

Answer:

3\(\frac{5}{8}\) = \(\frac{29}{8}\)

Question 29.

2\(\frac{5}{8}\) =

Answer:

2\(\frac{5}{8}\) = \(\frac{21}{8}\)

Question 30.

1\(\frac{7}{8}\) =

Answer:

1\(\frac{7}{8}\) = \(\frac{15}{8}\)

Question 31.

4\(\frac{3}{10}\) =

Answer:

4\(\frac{3}{10}\) = \(\frac{43}{10}\)

Question 32.

3\(\frac{7}{10}\) =

Answer:

3\(\frac{7}{10}\) =\(\frac{37}{10}\)

Question 33.

2\(\frac{5}{6}\) =

Answer:

2\(\frac{5}{6}\) =\(\frac{17}{6}\)

Question 34.

2\(\frac{7}{8}\) =

Answer:

2\(\frac{7}{8}\) = \(\frac{23}{8}\)

Question 35.

3\(\frac{7}{8}\) =

Answer:

3\(\frac{7}{8}\) =\(\frac{31}{8}\)

Question 36.

4\(\frac{1}{6}\) =

Answer:

4\(\frac{1}{6}\) = \(\frac{25}{6}\)

Question 37.

1\(\frac{1}{12}\) =

Answer:

1\(\frac{1}{12}\) =\(\frac{13}{12}\)

Question 38.

1\(\frac{11}{12}\) =

Answer:

1\(\frac{11}{12}\) = \(\frac{23}{12}\)

Question 39.

4\(\frac{1}{12}\) =

Answer:

4\(\frac{1}{12}\) = \(\frac{49}{12}\)

Question 40.

2\(\frac{5}{12}\) =

Answer:

2\(\frac{5}{12}\) = \(\frac{29}{12}\)

Question 41.

2\(\frac{11}{12}\) =

Answer:

2\(\frac{11}{12}\) = \(\frac{35}{12}\)

Question 42.

3\(\frac{7}{12}\) =

Answer:

3\(\frac{7}{12}\) = \(\frac{43}{12}\)

Question 43.

4\(\frac{5}{12}\) =

Answer:

4\(\frac{5}{12}\) = \(\frac{53}{12}\)

Question 44.

4\(\frac{11}{12}\) =

Answer:

4\(\frac{11}{12}\) = \(\frac{59}{12}\)

### Eureka Math Grade 5 Module 6 Lesson 23 Homework Answer Key

Question 1.

In the diagram, the length of Figure S is \(\frac{1}{2}\) the length of Figure T. If S has an area of 368 cm^{2}, find the perimeter of the figure.

Answer:

Length of Figure T = x

length of Figure S = \(\frac{1}{2}\) the length of Figure T = \(\frac{x}{2}\) .

Breadth = 16 cm

Area of Figure S = 368 cm^{2},

Area = Length **× **Breadth = \(\frac{x}{2}\) **× **16 = 368

\(\frac{x}{2}\) = 23

x = 24 cms.

Length of figure S = \(\frac{x}{2}\) = 23 cms .

Length of figure T = x = 46 cms .

Total Length of Figure S and T = 23 + 46 = 69 cms

Perimeter of given Figure = S +T = 2 ( l + b) = 2 ( 69 + 16 ) = 2 ( 85 ) = 170 cms .

The following problems are puzzles for your enjoyment. They are intended to encourage working together and family problem-solving fun and are not a required element of this homework assignment.

Question 2.

Take 12 matchsticks arranged in a grid as shown below, and remove 2 matchsticks so 2 squares remain. How can you do this? Draw the new arrangement.

Answer:

If we remove any one vertical match sticks or one horizontal match sticks in the middle then 2 squares will be remained and is shown in below figure .

Question 3.

Moving only 3 matchsticks makes the fish turn around and swim the opposite way. Which matchsticks did you move? Draw the new shape.

Answer: