Practice Adding Fractions in Math

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

Quick Recap

Adding fractions combines parts of a whole by rewriting both with a common denominator and then adding the numerators.

You can only add like-sized pieces directly — 14 and 13 must be converted to twelfths before adding.

Showing a random 20 of 50 problems.

Example 1

medium
Compute 37+221.

Example 2

easy
Compute 38+28.

Example 3

hard
Solve for x: x+27=34.

Example 4

easy
Compute 15+210.

Example 5

easy
Compute 13+16.

Example 6

medium
Compute 12+13+16.

Example 7

medium
Compute 12+14+16.

Example 8

medium
A bookcase shelf is 34 m wide; an extension is 58 m wide. Total width?

Example 9

hard
Worked example: 1115+712, in lowest terms.

Example 10

easy
Compute 26+16 and simplify.

Example 11

medium
Compute 13+14.

Example 12

hard
Three tanks contain 58, 34, and 13 of their capacity in water. If each tank has a capacity of 120 litres, how many total litres of water are in all three tanks?

Example 13

easy
Compute 27+37.

Example 14

easy
Add 512+312.

Example 15

medium
Worked example: 712+518.

Example 16

easy
True or false: 12+13=25.

Example 17

medium
Compute 123+223.

Example 18

easy
Compute 12+14+18.

Example 19

medium
Compute 45+23.

Example 20

medium
Compute 56+78.