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 means multiplying by its reciprocal: \frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c} = \frac{ad}{bc}. This works because division asks 'how many groups of this size fit?'
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
easyDivide \frac{3}{4} \div \frac{2}{5}.
Example 2
mediumA 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
easyCompute \frac{5}{6} \div \frac{5}{12}.
Example 4
hardA 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?