Practice Operations with Rational Numbers in Math

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

Quick Recap

Extending addition, subtraction, multiplication, and division to the full set of rational numbersβ€”including fractions, decimals, mixed numbers, and their negative counterparts.

Once you can handle integers and fractions separately, combine the skills: apply the sign rules you know from integers to fractions and decimals. -\frac{2}{3} + \frac{1}{4} uses common denominators AND sign rules at the same time.

Example 1

easy
Calculate \(\frac{2}{3} + \frac{1}{4}\).

Example 2

medium
Calculate \(\frac{5}{6} \times \frac{3}{10}\) and simplify.

Example 3

easy
Calculate \(\frac{3}{4} - \frac{1}{6}\).

Example 4

medium
Calculate \(\frac{7}{8} \div \frac{3}{4}\).