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Master Fraction Multiplication

Multiply fractions by multiplying numerators together and denominators together, then simplify. Example: 2/3 × 3/4 = 6/12 = 1/2.

What is Fraction Multiplication?

Multiplying numerators and denominators

To multiply fractions, multiply the numerators together and the denominators together. Then simplify the result to lowest terms. Example: 2/3 × 3/4 = 6/12 = 1/2.

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Multiply Across

Multiply numerators and multiply denominators, then simplify.

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Fraction Multiplication Rules

Key steps for multiplying fractions

Multiply Numerators and Denominators

(a/b) × (c/d) = (a×c)/(b×d). Then reduce to lowest terms.

\frac{2}{3} × \frac{3}{4} = \frac{6}{12} = \frac{1}{2}
\frac{1}{2} × \frac{2}{5} = \frac{2}{10} = \frac{1}{5}

Canceling Before Multiplying

You can cancel common factors between any numerator and any denominator before multiplying to simplify.

\frac{2}{3} × \frac{3}{4:} cancel 3 → 2 × \frac{1}{4} = \frac{2}{4} = \frac{1}{2}

Fraction Multiplication Examples

Worked examples

Basic Examples

\frac{2}{3} × \frac{3}{4}\frac{1}{2}
\frac{1}{2} × \frac{2}{5}\frac{1}{5}
\frac{3}{5} × \frac{5}{6}\frac{1}{2}

Why Fraction Multiplication Matters

Multiplying fractions is used in scaling recipes, calculating areas, and many proportional reasoning problems.

Applications

Used in cooking, geometry (area of rectangles), and probability.

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Fraction Multiplication Practice

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

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Fractions Practice Hub

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

Fractions Practice Hub