Practice Fraction of a Number in Math

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

Quick Recap

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

34\frac{3}{4} of 20 means split 20 into 4 equal groups (5 each), then take 3 groups: 3ร—5=153 \times 5 = 15.

Showing a random 20 of 50 problems.

Example 1

easy
A pizza has 1212 slices. Mia eats 14\frac{1}{4} of it. How many slices did Mia eat?

Example 2

easy
Find 34\frac{3}{4} of 2828.

Example 3

challenge
A tank is 35\frac{3}{5} full. After adding 12 L it is 45\frac{4}{5} full. What is the tank's capacity?

Example 4

medium
Find 47\frac{4}{7} of 49.

Example 5

medium
Find 34\frac{3}{4} of $120\$120.

Example 6

easy
Find 25\frac{2}{5} of 15.

Example 7

easy
18\frac{1}{8} of 4040 is ___.

Example 8

hard
A shop has $2400\$2400 in sales. 38\frac{3}{8} is spent on materials, and 16\frac{1}{6} of the remainder is set aside for rent. How much money is set aside for rent?

Example 9

hard
37\frac{3}{7} of a number is 2424 more than 17\frac{1}{7} of the number. Find the number.

Example 10

easy
Find 310\frac{3}{10} of 5050.

Example 11

medium
A book has 240240 pages. Sam read 58\frac{5}{8} of it. How many pages has Sam read?

Example 12

medium
A class has 32 students; 58\frac{5}{8} are girls. How many girls?

Example 13

hard
Three friends share a prize. Andy gets 13\frac{1}{3}, Beth gets 25\frac{2}{5} of the rest, and Chen gets the remaining $36\$36. What was the total prize?

Example 14

medium
Find 34\frac{3}{4} of 89\frac{8}{9}.

Example 15

easy
Find 12\frac{1}{2} of 10.

Example 16

hard
A farmer harvests 560560 kg of apples. 38\frac{3}{8} go to market and 25\frac{2}{5} of the rest are juiced. How many kg are juiced?

Example 17

medium
Find 712\frac{7}{12} of 8484.

Example 18

easy
Find 13\frac{1}{3} of 12.

Example 19

easy
Find 27\frac{2}{7} of 3535.

Example 20

easy
23\frac{2}{3} of 2121 is ___.