Practice Fraction of a Number in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

Finding a fraction of a number means multiplying that number by the fraction: $\frac{a}{b}$ of $n$ equals $\frac{a}{b} \times n = \frac{a \times n}{b}$ . It answers 'what is this part of the whole amount?'

$\frac{3}{4}$ of 20 means split 20 into 4 equal groups (5 each), then take 3 groups: $3 \times 5 = 15$ .

Showing a random 20 of 50 problems.

Example 1

easy

A pizza has

12

slices. Mia eats

\frac{1}{4}

of it. How many slices did Mia eat?

Example 2

easy

Find

\frac{3}{4}

28

3 out of 4 equal parts are shaded — this is what 3/4 of a whole looks like

Example 3

challenge

A tank is

\frac{3}{5}

full. After adding 12 L it is

\frac{4}{5}

full. What is the tank's capacity?

Example 4

medium

Find

\frac{4}{7}

of 49.

Example 5

medium

Find

\frac{3}{4}

\$120

Example 6

easy

Find

\frac{2}{5}

of 15.

Example 7

easy

\frac{1}{8}

40

is ___.

Example 8

hard

A shop has

\$2400

in sales.

\frac{3}{8}

is spent on materials, and

\frac{1}{6}

of the remainder is set aside for rent. How much money is set aside for rent?

Example 9

hard

\frac{3}{7}

of a number is

24

more than

\frac{1}{7}

of the number. Find the number.

Example 10

easy

Find

\frac{3}{10}

50

Example 11

medium

A book has

240

pages. Sam read

\frac{5}{8}

of it. How many pages has Sam read?

Example 12

medium

A class has 32 students;

\frac{5}{8}

are girls. How many girls?

Example 13

hard

Three friends share a prize. Andy gets

\frac{1}{3}

, Beth gets

\frac{2}{5}

of the rest, and Chen gets the remaining

\$36

. What was the total prize?

Example 14

medium

Find

\frac{3}{4}

\frac{8}{9}

Example 15

easy

Find

\frac{1}{2}

of 10.

Example 16

hard

A farmer harvests

560

kg of apples.

\frac{3}{8}

go to market and

\frac{2}{5}

of the rest are juiced. How many kg are juiced?

Example 17

medium

Find

\frac{7}{12}

84

Example 18

easy

Find

\frac{1}{3}

of 12.

Example 19

easy

Find

\frac{2}{7}

35

Example 20

easy

\frac{2}{3}

21

is ___.

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Related Concepts

Multiplying Fractions Percent of a Number Decimal-Fraction Conversion