Dividing Unit Fractions and Whole Numbers: Grade 5 Math Worksheet Answer Key – PDF Download

Grade 5 Divide Worksheet Answer Key: problems 1–5

Problem 1: A seventh split in two

The shaded seventh is split into 2 pieces, and each piece is 1 of the 14 equal parts: \(\frac{1}{7} : 2 = \frac{1}{7 \times 2} = \frac{1}{14}\). Check: \(2 \times \frac{1}{14} = \frac{1}{7}\).

Answer: \(\frac{1}{14}\)

Problem 2: Fifths split in two

\(\frac{1}{5} : 2 = \frac{1}{5 \times 2} = \frac{1}{10}\). Check: \(2 \times \frac{1}{10} = \frac{1}{5}\).

Answer: \(\frac{1}{10}\)

Problem 3: Fifths split in three

\(\frac{1}{5} : 3 = \frac{1}{5 \times 3} = \frac{1}{15}\). Check: \(3 \times \frac{1}{15} = \frac{1}{5}\).

Answer: \(\frac{1}{15}\)

Problem 4: More unit fraction quotients

1. \(\frac{1}{6 \times 4} = \frac{1}{24}\)
2. \(\frac{1}{8 \times 2} = \frac{1}{16}\)
3. \(\frac{1}{10 \times 5} = \frac{1}{50}\)

Answers: \(\frac{1}{24}\), \(\frac{1}{16}\), \(\frac{1}{50}\)

Problem 5: Check by multiplying

Multiply the quotient by the divisor: \(\frac{1}{12} \times 3 = \frac{3}{12} = \frac{1}{4}\). The product is the starting number, so Maya is right.

Answer: yes, \(\frac{1}{12} \times 3 = \frac{1}{4}\)

Grade 5 Divide Worksheet Answer Key: problems 6–10

Problem 6: Wholes and sixths

Each whole holds 6 sixths, so 2 wholes hold \(2 \times 6 = 12\) sixths. Check: \(12 \times \frac{1}{6} = 2\).

Answer: 12

Problem 7: Wholes and fifths

\(3 \times 5 = 15\) fifths. Check: \(15 \times \frac{1}{5} = 3\).

Answer: 15

Problem 8: Dividing by one half

1. \(5 \times 2 = 10\)
2. \(7 \times 2 = 14\)

Each whole holds 2 halves.

Answers: 10 and 14

Problem 9: Whole numbers by unit fractions

1. \(6 \times 5 = 30\)
2. \(9 \times 3 = 27\)
3. \(8 \times 10 = 80\)

Answers: 30, 27, 80

Problem 10: Hops on a number line

There are 3 thirds in each whole, so \(2 : \frac{1}{3} = 2 \times 3 = 6\) hops.

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

Grade 5 Divide Worksheet Answer Key: problems 11–15

Problem 11: Write the division equation

Two wholes are cut into fourths: \(2 : \frac{1}{4} = 2 \times 4 = 8\).

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

Problem 12: Name the unit fraction

The shaded third is split into 2 equal pieces: \(\frac{1}{3} : 2 = \frac{1}{6}\). Check: \(2 \times \frac{1}{6} = \frac{1}{3}\).

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

Problem 13: Missing divisor, unit fractions

1. \(5 \times 4 = 20\), so the divisor is 4. Check: \(\frac{1}{5} : 4 = \frac{1}{20}\).
2. \(3 \times 6 = 18\), so the divisor is 6. Check: \(\frac{1}{3} : 6 = \frac{1}{18}\).

Answers: 4 and 6

Problem 14: Missing number, whole numbers

1. \(6 : \frac{1}{4} = 6 \times 4 = 24\), so the missing number is \(\frac{1}{4}\).
2. \(7 \times 5 = 35\), so the missing number is 7.

Answers: \(\frac{1}{4}\) and 7

Problem 15: Compare two quotients

\(\frac{1}{2} : 4 = \frac{1}{8}\) and \(4 : \frac{1}{2} = 8\). Since \(8 > \frac{1}{8}\), the second quotient is greater.

Answer: \(4 : \frac{1}{2}\) is greater

Grade 5 Divide Worksheet Answer Key: problems 16–20

Problem 16: Pattern with fourths

\(1 : \frac{1}{4} = 4\), \(2 : \frac{1}{4} = 8\), \(3 : \frac{1}{4} = 12\), \(4 : \frac{1}{4} = 16\). Each answer is the whole number times 4, because each whole holds 4 fourths.

Answer: 4, 8, 12, 16; multiply by 4

Problem 17: Sports drink

The drink is split: \(\frac{1}{6} : 4 = \frac{1}{24}\). Check: \(4 \times \frac{1}{24} = \frac{1}{6}\).

Answer: \(\frac{1}{24}\) gallon

Problem 18: Leftover pizza

\(\frac{1}{3} : 2 = \frac{1}{6}\). Check: \(2 \times \frac{1}{6} = \frac{1}{3}\).

Answer: \(\frac{1}{6}\) of the pizza

Problem 19: Twine pieces

\(4 : \frac{1}{5} = 4 \times 5 = 20\). Check: \(20 \times \frac{1}{5} = 4\).

Answer: 20 pieces

Problem 20: Oatmeal servings

\(7 : \frac{1}{4} = 7 \times 4 = 28\). Check: \(28 \times \frac{1}{4} = 7\).

Answer: 28 servings

Grade 5 Divide Worksheet Answer Key: problems 21–22

Problem 21: Fudge pieces

\(\frac{1}{6} : 5 = \frac{1}{30}\). Check: \(5 \times \frac{1}{30} = \frac{1}{6}\).

Answer: \(\frac{1}{30}\) pound

Problem 22: Birdseed

Feeders: \(3 : \frac{1}{2} = 3 \times 2 = 6\). Sunflower seeds in each feeder: \(\frac{1}{4} : 6 = \frac{1}{24}\). Check: \(6 \times \frac{1}{24} = \frac{1}{4}\).

Answer: \(\frac{1}{24}\) pound

How to use this grade 5 divide worksheet answer key

Read this grade 5 divide worksheet answer key after trying each problem yourself, and redo any problem you missed.

See every chapter on the Grade 5 math page.