4th Grade Multiplying a Fraction by a Whole Number Worksheet (PDF)

4th Grade math worksheet: Multiplying a Fraction by a Whole Number – Maths PDF

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This multiply fraction whole worksheet for 4th Grade covers multiplying a fraction by a whole number (Common Core 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c), with a free PDF to print.

This worksheet has 20 problems on multiplying a fraction by a whole number. Problems use unit fractions, number lines, tape diagrams and word problems about equal groups (Common Core 4.NF.B.4).

Grade 4 · Common Core State Standards: 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c

Multiply fraction whole worksheet: exercises 1 to 10

Exercise 1 – Three fourths

Write \(\frac{3}{4}\) as a multiple of \(\frac{1}{4}\).

Exercise 2 – Five sixths

Write \(\frac{5}{6}\) as a multiple of \(\frac{1}{6}\) and as a sum of unit fractions.

Exercise 3 – Four fifths

Find \(4 \times \frac{1}{5}\).

Exercise 4 – Three groups of two fifths

Find \(3 \times \frac{2}{5}\). Use the picture.

Three strips, each with \(\frac{2}{5}\) shaded.

Exercise 5 – Two groups of three eighths

Find \(2 \times \frac{3}{8}\).

Exercise 6 – Five thirds

Find \(5 \times \frac{1}{3}\). Write the answer as a mixed number.

Exercise 7 – Four groups of three tenths

Find \(4 \times \frac{3}{10}\). Write the answer as a mixed number.

Exercise 8 – A whole number answer

Find \(6 \times \frac{2}{3}\).

Exercise 9 – Three groups of five sixths

Find \(3 \times \frac{5}{6}\). Write the answer as a mixed number.

Exercise 10 – Seven groups of three fourths

Find \(7 \times \frac{3}{4}\). Write the answer as a mixed number.

Exercises 11 and up

Exercise 11 – Number line jumps

Use the number line to find \(4 \times \frac{3}{8}\).

Four jumps of \(\frac{3}{8}\).

Exercise 12 – Complete the product

Fill in the missing numbers: \(8 \times \frac{3}{12} = \frac{?}{12} = ?\).

Exercise 13 – Two ways to write nine fourths

Write \(\frac{9}{4}\) as a product of a whole number and a fraction in two different ways.

Exercise 14 – Nine groups of two fifths

Find \(9 \times \frac{2}{5}\). Write the answer as a mixed number.

Exercise 15 – Glasses of milk

Maya drinks \(\frac{3}{4}\) cup of milk each day. How much milk does she drink in 5 days?

A tape diagram of 5 days.

Exercise 16 – Sugar for cookies

One batch of cookies needs \(\frac{2}{3}\) cup of sugar. How much sugar do 4 batches need?

Exercise 17 – Training runs

Jamal runs \(\frac{3}{8}\) mile each day for 6 days. How far does he run in all?

A tape diagram of 6 days.

Exercise 18 – Ribbon for friends

Sofia gives each of her 4 friends a ribbon that is \(\frac{5}{6}\) yard long. How many yards of ribbon does she use?

Exercise 19 – Juice for glasses

Priya fills 6 glasses with \(\frac{3}{4}\) cup of juice each. She has 5 cups of juice. Does she have enough? How much is left, or how much more does she need?

A tape diagram of 6 glasses.

Exercise 20 – Peaches at the market

A farmers market stand sells peaches in bags of \(\frac{3}{4}\) pound. Noah buys 7 bags and Mei buys 5 bags. How many pounds of peaches do they buy together?

Key facts behind this multiply fraction whole worksheet

Key facts

A fraction a/b is a multiple of the unit fraction 1/b, so a/b = a x 1/b.
n x (a/b) = (n x a)/b. Multiply the whole number by the numerator and keep the denominator.
Repeated jumps on a number line show the same product.
Write improper fraction products as mixed numbers when it helps.
Equal groups in word problems signal fraction times whole number.

How to use this multiply fraction whole 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 multiply fraction whole worksheet as a PDF with the button below and keep it with your notes.

All Grade 4 chapters: Grade 4 math.

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