Practice Fractions in Math

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

Quick Recap

A fraction is a number of the form ab\frac{a}{b} where aa (the numerator) counts how many equal parts you have and bb (the denominator, which must not be zero) tells how many equal parts the whole is divided into.

A pizza cut into 4 slicesβ€”eating 1 slice means you ate 14\frac{1}{4} of the pizza.

Showing a random 20 of 50 problems.

Example 1

easy
Express 12\frac{1}{2} with a denominator of 8.

Example 2

hard
On a road trip, 25\frac{2}{5} of the distance was driven by Ana and 13\frac{1}{3} by Ben. What fraction was left for Cara?

Example 3

easy
In 59\frac{5}{9}, which number is the numerator?

Example 4

challenge
Why does 23\frac{2}{3} equal 812\frac{8}{12}? Justify using equal parts.

Example 5

medium
A class has 24 students. 38\frac{3}{8} of them walk to school. How many students walk?

Example 6

hard
Simplify 1238\frac{\frac{1}{2}}{\frac{3}{8}}.

Example 7

medium
What is 23\frac{2}{3} of 34\frac{3}{4}?

Example 8

medium
Sara reads 25\frac{2}{5} of a book on Monday and 14\frac{1}{4} on Tuesday. What fraction is left to read?

Example 9

medium
Which is larger, 34\frac{3}{4} or 710\frac{7}{10}? Rewrite with a common denominator.

Example 10

easy
Write 'three fourths' as a fraction.

Example 11

hard
Compute 23+14βˆ’16\frac{2}{3} + \frac{1}{4} - \frac{1}{6}.

Example 12

medium
Order from least to greatest: 35,23,710\frac{3}{5}, \frac{2}{3}, \frac{7}{10}.

Example 13

medium
Subtract 56βˆ’14\frac{5}{6} - \frac{1}{4}.

Example 14

easy
Subtract 710βˆ’310\frac{7}{10} - \frac{3}{10}.

Example 15

hard
Which is larger: 1724\frac{17}{24} or 1116\frac{11}{16}?

Example 16

medium
A recipe needs 23\frac{2}{3} cup of sugar. You make half the recipe. How much sugar do you use?

Example 17

easy
Add 25+15\frac{2}{5} + \frac{1}{5}.

Example 18

easy
Add 49+29\frac{4}{9} + \frac{2}{9}.

Example 19

medium
A wall is 56\frac{5}{6} painted. What fraction is still unpainted?

Example 20

easy
A bag has 10 marbles; 4 are red. What fraction of the marbles are red?