This grade 5 divide worksheet answer key solves all 22 problems of the dividing unit fractions and whole numbers worksheet step by step.
Every solution shows the division equation, the multiplication check and the final answer. Compare your model as well as your answer. When a problem counts pieces, the answer is a whole number; when it splits a fraction, the answer is a smaller unit fraction.
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
- \(\frac{1}{6 \times 4} = \frac{1}{24}\)
- \(\frac{1}{8 \times 2} = \frac{1}{16}\)
- \(\frac{1}{10 \times 5} = \frac{1}{50}\)
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
- \(5 \times 2 = 10\)
- \(7 \times 2 = 14\)
Each whole holds 2 halves.
Answers: 10 and 14
Problem 9: Whole numbers by unit fractions
- \(6 \times 5 = 30\)
- \(9 \times 3 = 27\)
- \(8 \times 10 = 80\)
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
- \(5 \times 4 = 20\), so the divisor is 4. Check: \(\frac{1}{5} : 4 = \frac{1}{20}\).
- \(3 \times 6 = 18\), so the divisor is 6. Check: \(\frac{1}{3} : 6 = \frac{1}{18}\).
Answers: 4 and 6
Problem 14: Missing number, whole numbers
- \(6 : \frac{1}{4} = 6 \times 4 = 24\), so the missing number is \(\frac{1}{4}\).
- \(7 \times 5 = 35\), 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.