5th Grade Dividing Unit Fractions and Whole Numbers Worksheet (PDF)

5th Grade math worksheet: Dividing Unit Fractions and Whole Numbers – Maths PDF

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This divide unit fractions worksheet for 5th Grade covers dividing unit fractions and whole numbers (Common Core 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c), with a free PDF to print.

These 20 problems practice standard 5.NF.B.7: dividing a unit fraction by a whole number and dividing a whole number by a unit fraction. You will use bar models and number lines, check answers with multiplication, and solve story problems.

The problems start with quick one-step divisions and grow to multi-step word problems about food, ribbon, laps and paint. Draw a picture whenever you get stuck.

Grade 5 · Common Core State Standards: 5.NF.B.7a, 5.NF.B.7b, 5.NF.B.7c

Divide unit fractions worksheet: exercises 1 to 10

Exercise 1 – Half divided by 3

Find \(\frac{1}{2}\div3\).

Exercise 2 – Fourth divided by 2

Find \(\frac{1}{4}\div2\).

Exercise 3 – Third divided by 5

Find \(\frac{1}{3}\div5\).

Exercise 4 – Fifth divided by 4

Find \(\frac{1}{5}\div4\).

Exercise 5 – Sixth divided by 3 with a model

Find \(\frac{1}{6}\div3\). The model shows one sixth cut into 3 equal pieces.

One sixth cut into 3 equal pieces.

Exercise 6 – Four wholes in halves

Find \(4\div\frac{1}{2}\).

Exercise 7 – Three wholes in fourths

Find \(3\div\frac{1}{4}\). Use the picture to help.

Three wholes, each cut into fourths.

Exercise 8 – Five wholes in thirds

Find \(5\div\frac{1}{3}\).

Exercise 9 – Two wholes in fifths

Find \(2\div\frac{1}{5}\).

Exercise 10 – Six wholes in sixths

Find \(6\div\frac{1}{6}\).

Exercises 11 and up

Exercise 11 – Check with multiplication

Find \(\frac{1}{8}\div3\). Then write a multiplication sentence that checks the answer.

Exercise 12 – Write the division sentence

Write a division equation and find the quotient for the model.

One fourth cut into 3 equal pieces.

Exercise 13 – Find the missing number

Find the number that makes the equation true: \(7\div\frac{1}{\text{?}}=28\).

Exercise 14 – Compare two quotients

Compare \(\frac{1}{4}\div2\) and \(\frac{1}{4}\div3\) using >, < or =.

Exercise 15 – Jumps on a number line

Find \(2\div\frac{1}{3}\) using the number line.

A number line marked in thirds.

Exercise 16 – Trail mix for four

Solve. Maya has \(\frac{1}{2}\) pound of trail mix. She shares it equally among 4 friends. How much does each friend get?

Exercise 17 – Ribbon pieces

Solve. Jamal has 5 yards of ribbon. He cuts it into pieces that are each \(\frac{1}{4}\) yard long. How many pieces does he make?

Exercise 18 – Brownie pan

Solve. After the bake sale, \(\frac{1}{3}\) of a pan of brownies is left. Six students share it equally. What fraction of the whole pan does each student get?

One third of the pan cut into 6 pieces.

Exercise 19 – Laps around the track

Solve. Priya wants to run 3 miles. One lap around the school track is \(\frac{1}{8}\) mile. (a) How many laps is 3 miles? (b) She has finished 18 laps. How many laps are left?

Exercise 20 – Paint for a sign

Solve. Ethan pours \(\frac{1}{2}\) gallon of paint equally into 3 jars. He uses 2 jars to paint a sign. How much paint does he use?

Key facts behind this divide unit fractions worksheet

Key facts

A unit fraction has a numerator of 1, like 1/4 or 1/8.
A unit fraction divided by a whole number n is 1 over (denominator times n).
A whole number divided by a unit fraction 1/b equals the whole number times b.
Check any quotient by multiplying it by the divisor to get the dividend.
Bar models and number lines show how many pieces there are.

How to use this divide unit fractions worksheet

Work through the exercises in order: they go from simple to challenging. Write every step on paper, then compare with the solutions page and redo any exercise you missed the next day.

Download the divide unit fractions worksheet as a PDF with the button below and keep it with your notes.

All Grade 5 chapters: Grade 5 math.

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