Practice Adding Fractions in Math

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

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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\frac{1}{4} and 13\frac{1}{3} must be converted to twelfths before adding.

Showing a random 20 of 50 problems.

Example 1

medium
Compute 37+221\frac{3}{7}+\frac{2}{21}.

Example 2

easy
Compute 38+28\frac{3}{8} + \frac{2}{8}.

Example 3

hard
Solve for xx: x+27=34x+\frac{2}{7}=\frac{3}{4}.

Example 4

easy
Compute 15+210\frac{1}{5} + \frac{2}{10}.

Example 5

easy
Compute 13+16\frac{1}{3} + \frac{1}{6}.

Example 6

medium
Compute 12+13+16\frac{1}{2} + \frac{1}{3} + \frac{1}{6}.

Example 7

medium
Compute 12+14+16\frac{1}{2}+\frac{1}{4}+\frac{1}{6}.

Example 8

medium
A bookcase shelf is 34\frac{3}{4} m wide; an extension is 58\frac{5}{8} m wide. Total width?

Example 9

hard
Worked example: 1115+712\frac{11}{15}+\frac{7}{12}, in lowest terms.

Example 10

easy
Compute 26+16\frac{2}{6}+\frac{1}{6} and simplify.

Example 11

medium
Compute 13+14\frac{1}{3} + \frac{1}{4}.

Example 12

hard
Three tanks contain 58\frac{5}{8}, 34\frac{3}{4}, and 13\frac{1}{3} of their capacity in water. If each tank has a capacity of 120120 litres, how many total litres of water are in all three tanks?

Example 13

easy
Compute 27+37\frac{2}{7} + \frac{3}{7}.

Example 14

easy
Add 512+312\frac{5}{12} + \frac{3}{12}.

Example 15

medium
Worked example: 712+518\frac{7}{12}+\frac{5}{18}.

Example 16

easy
True or false: 12+13=25\frac{1}{2}+\frac{1}{3}=\frac{2}{5}.

Example 17

medium
Compute 123+2231\frac{2}{3} + 2\frac{2}{3}.

Example 18

easy
Compute 12+14+18\frac{1}{2} + \frac{1}{4} + \frac{1}{8}.

Example 19

medium
Compute 45+23\frac{4}{5}+\frac{2}{3}.

Example 20

medium
Compute 56+78\frac{5}{6} + \frac{7}{8}.
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