This grade 5 divide fractions worksheet gives 22 problems on dividing unit fractions and whole numbers, ordered from easy to hard, with a separate answer key.
These 22 problems practice Common Core 5.NF.B.7: dividing a unit fraction by a non-zero whole number and a whole number by a unit fraction. Use bar models and number lines, write division equations, and check with multiplication.
Start with the pictures, then move to equations and missing numbers. The last six problems are word problems. Write every answer in simplest form.
Grade 5 Divide Fractions Worksheet: problems 1–5
Problem 1: A seventh split in two
Find \(\frac{1}{7} : 2\). The bar shows one whole cut into 14 equal parts, with one seventh shaded.
Problem 2: Fifths split in two
Find \(\frac{1}{5} : 2\).
Problem 3: Fifths split in three
Find \(\frac{1}{5} : 3\).
Problem 4: More unit fraction quotients
Find each quotient.
- \(\frac{1}{6} : 4\)
- \(\frac{1}{8} : 2\)
- \(\frac{1}{10} : 5\)
Problem 5: Check by multiplying
Maya says \(\frac{1}{4} : 3 = \frac{1}{12}\). Write a multiplication equation that checks her answer, and tell whether she is right.
Grade 5 Divide Fractions Worksheet: problems 6–10
Problem 6: Wholes and sixths
Two wholes are cut into sixths. Find \(2 : \frac{1}{6}\).
Problem 7: Wholes and fifths
Find \(3 : \frac{1}{5}\) using the model.
Problem 8: Dividing by one half
Find each quotient.
- \(5 : \frac{1}{2}\)
- \(7 : \frac{1}{2}\)
Problem 9: Whole numbers by unit fractions
Find each quotient.
- \(6 : \frac{1}{5}\)
- \(9 : \frac{1}{3}\)
- \(8 : \frac{1}{10}\)
Problem 10: Hops on a number line
How many hops of \(\frac{1}{3}\) fit between \(0\) and \(2\)? Write the division equation.
Grade 5 Divide Fractions Worksheet: problems 11–15
Problem 11: Write the division equation
Write a division equation for the picture and solve it.
Problem 12: Name the unit fraction
The bar shows one whole cut into 6 equal parts, with a third shaded and split into 2 pieces. Write a division equation for the shaded third and solve it.
Problem 13: Missing divisor, unit fractions
Find each missing number.
- \(\frac{1}{5} : \_\_\_ = \frac{1}{20}\)
- \(\frac{1}{3} : \_\_\_ = \frac{1}{18}\)
Problem 14: Missing number, whole numbers
Find each missing number.
- \(6 : \_\_\_ = 24\)
- \(\_\_\_ : \frac{1}{5} = 35\)
Problem 15: Compare two quotients
Which is greater, \(\frac{1}{2} : 4\) or \(4 : \frac{1}{2}\)? Find both quotients.
Grade 5 Divide Fractions Worksheet: problems 16–20
Problem 16: Pattern with fourths
Find \(1 : \frac{1}{4}\), \(2 : \frac{1}{4}\), \(3 : \frac{1}{4}\) and \(4 : \frac{1}{4}\). Describe the pattern.
Problem 17: Sports drink
Mei has \(\frac{1}{6}\) gallon of sports drink. She pours it equally into 4 bottles. How much is in each bottle?
Problem 18: Leftover pizza
One third of a pizza is left. Jamal and Sofia share it equally. What fraction of the whole pizza does each get?
Problem 19: Twine pieces
Aisha has 4 yards of twine. She cuts it into pieces that are \(\frac{1}{5}\) yard long. How many pieces does she cut?
Problem 20: Oatmeal servings
Liam has \(7\) cups of oats. Each serving is \(\frac{1}{4}\) cup. How many servings can he make?
Grade 5 Divide Fractions Worksheet: problems 21–22
Problem 21: Fudge pieces
A pan of fudge weighs \(\frac{1}{6}\) pound. Jamal splits it equally among 5 friends. How many pounds does each friend get?
Problem 22: Birdseed
Ethan has 3 pounds of birdseed. He fills feeders that each hold \(\frac{1}{2}\) pound. He then splits \(\frac{1}{4}\) pound of sunflower seeds equally among all the feeders. How many pounds of sunflower seeds go into each feeder?
How to use this grade 5 divide fractions worksheet
Print this grade 5 divide fractions worksheet as a PDF, solve every problem on paper, then compare with the answer key.
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Grade 5 Dividing Unit Fractions and Whole Numbers worksheet
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