## Engage NY Eureka Math 4th Grade Module 7 Lesson 12 Answer Key

### Eureka Math Grade 4 Module 7 Lesson 12 Problem Set Answer Key

Question 1.

Draw a tape diagram to show 1 yard divided into 3 equal parts.

a. \(\frac{1}{3}\) yd = _________ ft

b. \(\frac{2}{3}\) yd = _________ ft

c. \(\frac{3}{3}\) yd = _________ ft

Answer:

a. \(\frac{1}{3}\) yd = 1 ft

b. \(\frac{2}{3}\) yd = 2 ft

c. \(\frac{3}{3}\) yd = 3 ft

Question 2.

Draw a tape diagram to show 2\(\frac{2}{3}\) yards = 8 feet.

Answer:

1 yard = 3 feet

2 2/3 yard = 8 feet

Question 3.

Draw a tape diagram to show \(\frac{3}{4}\) gallon = 3 quarts.

Answer:

1 gallon = 4 quarts

So, 3/4 gallons = 3 quarts

Question 4.

Draw a tape diagram to show 3\(\frac{3}{4}\) gallons = 15 quarts.

Answer:

1 gallon = 4 quarts

So, 3 3/4 gallons = 15 quarts

Question 5.

Solve the problems using whatever tool works best for you.

a. \(\frac{1}{12}\) ft = _______ in

b. \(\frac{}{12}\) ft = \(\frac{1}{2}\) ft = _______ in

c. \(\frac{}{12}\) ft = \(\frac{1}{4}\) ft = _______ in

d. \(\frac{}{12}\) ft = \(\frac{3}{4}\) ft = _______ in

e. \(\frac{}{12}\) ft = \(\frac{1}{3}\) ft = _______ in

f. \(\frac{}{12}\) ft = \(\frac{2}{3}\) ft = _______ in

Answer:

a. \(\frac{1}{12}\) ft = 1 in

b. \(\frac{6}{12}\) ft = \(\frac{1}{2}\) ft = 6 in

c. \(\frac{3}{12}\) ft = \(\frac{1}{4}\) ft = 3 in

d. \(\frac{9}{12}\) ft = \(\frac{3}{4}\) ft = 9 in

e. \(\frac{4}{12}\) ft = \(\frac{1}{3}\) ft = 4 in

f. \(\frac{8}{12}\) ft = \(\frac{2}{3}\) ft = 8 in

Question 6.

Solve.

a. 1\(\frac{1}{3}\) yd = _______ ft

Answer: 1\(\frac{1}{3}\) yd = 4 ft

b. 4\(\frac{2}{3}\) yd = _______ ft

Answer: 4\(\frac{2}{3}\) yd = 14 ft

c. 2\(\frac{1}{2}\) gal = ______ qt

Answer: 2\(\frac{1}{2}\) gal = 10 qt

d. 7\(\frac{3}{4}\) gal = _______ qt

Answer: 7\(\frac{3}{4}\) gal = 31 qt

e. 1\(\frac{1}{2}\) ft = ______ in

Answer: 1\(\frac{1}{2}\) ft = 18 in

f. 6\(\frac{1}{2}\) ft = ______ in

Answer: 6\(\frac{1}{2}\) ft = 78 in

g. 1\(\frac{1}{4}\) ft = ______ in

Answer: 1\(\frac{1}{4}\) ft = 15 in

h. 6\(\frac{1}{4}\) ft = _______ in

Answer: 6\(\frac{1}{4}\) ft = 75 in

### Eureka Math Grade 4 Module 7 Lesson 12 Exit Ticket Answer Key

Question 1.

Solve the problems using whatever tool works best for you.

a. \(\frac{}{12}\) ft = \(\frac{1}{2}\) ft = _______in

b. \(\frac{}{12}\) ft = \(\frac{3}{4}\) ft = _______in

Answer:

a. \(\frac{6}{12}\) ft = \(\frac{1}{2}\) ft = 6 in

b. \(\frac{9}{12}\) ft = \(\frac{3}{4}\) ft = 9 in

Question 2.

Solve.

a. 1\(\frac{1}{3}\) yd = ______ ft

Answer: 1\(\frac{1}{3}\) yd = 4 ft

b. 5\(\frac{3}{4}\) gal = ________ qt

Answer: 5\(\frac{3}{4}\) gal = 23 qt

### Eureka Math Grade 4 Module 7 Lesson 12 Homework Answer Key

Question 1.

Draw a tape diagram to show 1\(\frac{1}{3}\) yards = 4 feet.

Answer:

1 yard = 3 feet

3 feet + 1 foot = 4 feet

So, 1 1/3 yards = 4 feet

Question 2.

Draw a tape diagram to show \(\frac{1}{2}\) gallon = 2 quarts.

Answer:

1 gallon = 4 quarts

So, 1/2 gallon = 2 quarts

Question 3.

Draw a tape diagram to show 1\(\frac{3}{4}\) gallons = 7 quarts.

Answer:

1 gallon = 4 quarts

3/4 gallon = 3 quarts

So, 1 3/4 gallons = 7 quarts.

Question 4.

Solve the problems using whatever tool works best for you.

a. \(\frac{1}{2}\) foot = _______inches

b. \(\frac{}{12}\)foot = \(\frac{1}{4}\) foot = _______inches

c. \(\frac{}{12}\) foot = \(\frac{1}{6}\) foot = _______inches

d. \(\frac{}{12}\) foot = \(\frac{1}{3}\) foot = _______inches

e. \(\frac{}{12}\) foot = \(\frac{2}{3}\) foot = _______inches

f. \(\frac{}{12}\) foot = \(\frac{5}{6}\) foot = _______inches

Answer:

a. \(\frac{1}{2}\) foot = 6 inches

b. \(\frac{3}{12}\)foot = \(\frac{1}{4}\) foot = 3 inches

c. \(\frac{2}{12}\) foot = \(\frac{1}{6}\) foot = 2 inches

d. \(\frac{4}{12}\) foot = \(\frac{1}{3}\) foot = 4 inches

e. \(\frac{8}{12}\) foot = \(\frac{2}{3}\) foot = 8 inches

f. \(\frac{10}{12}\) foot = \(\frac{5}{6}\) foot = 10 inches

Question 5.

Solve.

a. 2\(\frac{2}{3}\) yd = _____ ft

Answer: 2\(\frac{2}{3}\) yd = 8 ft

b. 3\(\frac{1}{3}\) yd = ______ ft

Answer: 3\(\frac{1}{3}\) yd = 10 ft

c. 3\(\frac{1}{2}\)gal = _______ qt

Answer: 3\(\frac{1}{2}\)gal = 14 qt

d. 5\(\frac{1}{4}\)gal = _______ qt

Answer: 5\(\frac{1}{4}\)gal = 21 qt

e. 6\(\frac{1}{4}\)ft = ________ in

Answer: 6\(\frac{1}{4}\)ft = 75 in

f. 7\(\frac{1}{3}\)ft = ______ in

Answer: 7\(\frac{1}{3}\)ft = 88 in

g. 2\(\frac{1}{2}\)ft = _____ in

Answer: 2\(\frac{1}{2}\)ft = 30 in

h. 5\(\frac{3}{4}\)ft = _______ in

Answer: 5\(\frac{3}{4}\)ft = 69 in

i. 9\(\frac{2}{3}\)ft = _______ in

Answer: 9\(\frac{2}{3}\)ft = 116 in

j. 7\(\frac{5}{6}\)ft = ______ in

Answer: 7\(\frac{5}{6}\)ft = 94 in