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Master Fraction Division

Divide fractions by multiplying by the reciprocal of the divisor. Example: (2/3) ÷ (3/4) = 2/3 × 4/3 = 8/9.

What is Fraction Division?

Dividing by multiplying by the reciprocal

To divide by a fraction, multiply by its reciprocal (flip the divisor). So (a/b) ÷ (c/d) = (a/b) × (d/c). Example: (2/3) ÷ (3/4) = 2/3 × 4/3 = 8/9.

Flip the second fraction and multiply. (a/b) ÷ (c/d) = (a/b) × (d/c).

Key steps for dividing fractions

To divide by a fraction, multiply by its reciprocal. The reciprocal of a/b is b/a.

(\frac{2}{3}) ÷ (\frac{3}{4}) = \frac{2}{3} × \frac{4}{3} = \frac{8}{9}

(\frac{1}{2}) ÷ (\frac{1}{4}) = \frac{1}{2} × 4 = 2

After multiplying, simplify the result to lowest terms if possible.

(\frac{4}{5}) ÷ (\frac{2}{5}) = \frac{4}{5} × \frac{5}{2} = 2 = 2

Worked examples

(\frac{2}{3}) ÷ (\frac{3}{4})\frac{8}{9}

(\frac{1}{2}) ÷ (\frac{1}{4})2

(\frac{4}{5}) ÷ (\frac{2}{5})2

Dividing fractions is essential for rates, unit conversion, and solving problems that ask "how many fit" or "how much per unit".

Used in unit rates, scaling, and sharing quantities fairly.

Practice with our infinite generator and get instant feedback

Practice dividing fractions with easy, medium, and hard levels. Optional negative fractions.

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All fraction practice types in one place: addition, subtraction, conversion, simplify, compare, and more.