Practice Dividing Fractions in Math

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

Quick Recap

Dividing by a fraction by multiplying by its reciprocal (inverting the divisor and multiplying).

Imagine you have 2 cups of flour and each serving of a recipe needs \frac{1}{3} cup. How many servings can you make? You are asking 'how many one-thirds fit into 2?'—that is 2 \div \frac{1}{3} = 6 servings. Division by a fraction counts how many pieces of that size fit inside the whole.

Example 1

easy
Divide \frac{3}{4} \div \frac{2}{5}.

Example 2

medium
A ribbon is \frac{7}{8} of a metre long. It is cut into pieces that are each \frac{1}{4} of a metre. How many pieces are there?

Example 3

easy
Compute \frac{5}{6} \div \frac{5}{12}.

Example 4

hard
A container holds \frac{9}{10} of a litre of juice. Each glass holds \frac{3}{20} of a litre. How many full glasses can be filled?
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