4th Grade Multiplying a Fraction by a Whole Number Worksheets with Answers (Free PDF)

$4th grade multiplying fractions by whole numbers worksheet – Maths PDF$

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This 4th grade multiplying fractions by whole numbers worksheet 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.

Key takeaway: This worksheet helps fourth grade students practice multiplying a fraction by a whole number, using unit fractions, pictures, number lines, and mixed numbers.

Topic: Multiplying a Fraction by a Whole Number (4th grade)
Content: 20 worksheet problems, from easy to challenging
Standards: 4.NF.B.4a, 4.NF.B.4b, 4.NF.B.4c
Answers: On a separate page, so you can try every worksheet problem first
Format: Free printable PDF, US Letter, black and white

This worksheet helps fourth grade students practice multiplying a fraction by a whole number, using unit fractions, pictures, number lines, and mixed numbers. Students see the same idea as repeated addition and as a product, so the rule feels natural.

There are 20 problems. The first five write fractions as multiples of unit fractions and find simple products, and the next five produce results greater than one and ask for mixed numbers. Also, four problems use a number line, a missing number, and different ways to write a fraction as a product. Then, the last six are word problems about milk, sugar, runs, ribbon, juice, and peaches. Also, allow about 30 minutes.

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

4th grade multiplying fractions by whole numbers worksheet: worksheet problems 1 to 10

1 – Three fourths

First, write $\frac{3}{4}$ as a multiple of $\frac{1}{4}$.

2 – Five sixths

Next, write $\frac{5}{6}$ as a multiple of $\frac{1}{6}$ and as a sum of unit fractions.

3 – Four fifths

Then, find $4 \times \frac{1}{5}$.

4 – Three groups of two fifths

Now, find $3 \times \frac{2}{5}$. Use the picture.

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

5 – Two groups of three eighths

Also, find $2 \times \frac{3}{8}$.

6 – Five thirds

First, find $5 \times \frac{1}{3}$. Write the answer as a mixed number.

7 – Four groups of three tenths

Next, find $4 \times \frac{3}{10}$. Write the answer as a mixed number.

8 – A whole number answer

Then, find $6 \times \frac{2}{3}$.

9 – Three groups of five sixths

Now, find $3 \times \frac{5}{6}$. Write the answer as a mixed number.

10 – Seven groups of three fourths

Also, find $7 \times \frac{3}{4}$. Write the answer as a mixed number.

Worksheet problems 11 and up

11 – Number line jumps

First, use the number line to find $4 \times \frac{3}{8}$.

Four jumps of $\frac{3}{8}$.

12 – Complete the product

Next, fill in the missing numbers: $8 \times \frac{3}{12} = \frac{?}{12} = ?$.

13 – Two ways to write nine fourths

Then, write $\frac{9}{4}$ as a product of a whole number and a fraction in two different ways.

14 – Nine groups of two fifths

Now, find $9 \times \frac{2}{5}$. Write the answer as a mixed number.

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.

16 – Sugar for cookies

First, one batch of cookies needs $\frac{2}{3}$ cup of sugar. How much sugar do 4 batches need?

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.

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?

Worksheet problem 19 and after

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.

20 – Peaches at the market

Also, 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 4th grade multiplying fractions by whole numbers 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.
Then, write improper fraction products as mixed numbers when it helps.
Equal groups in word problems signal fraction times whole number.

Common mistakes with this 4th grade multiplying fractions by whole numbers worksheet

Students multiply the whole number by both the numerator and the denominator. For 2 times three sevenths, the pieces stay sevenths, so keep the denominator.
Students leave a product that is a whole number as a fraction. Also, if the numerator is a multiple of the denominator, divide to get a whole number.
Students forget to compare a total with the amount available. When a story asks whether there is enough, find the total, then compare.
Students find only one buyer’s amount when two people buy. Add the groups first or find each amount and add them.

Tips before you start the worksheet problems

Write each product as repeated addition if it feels confusing. Then, three groups of two fifths is two fifths plus two fifths plus two fifths.
Always check whether your answer is greater than one. If so, rename it as a mixed number when the problem asks for one.
Teachers can ask students to draw a number line for one problem and compare their jumps with a partner.

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4th grade multiplying fractions by whole numbers worksheet: frequently asked questions

How do you write a fraction greater than one as a product?

Write it as a whole number times a unit fraction. So, seven thirds is 7 times one third. You can also pick another factor pair, such as a number times a larger fraction, as long as the product matches.

How do you solve a word problem with a fraction of a cup each day?

Multiply the number of days by the amount per day. Four times two thirds is eight thirds, which equals 2 and 2 thirds cups. Rename the answer as a mixed number so it is easy to measure.

How can you check that a product is reasonable?

Compare it with benchmarks. For 7 times three fifths, three fifths is a little more than one half, so the product should be a little more than half of 7. An answer near 4 fits.

All Grade 4 chapters: Grade 4 math.

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