Multiply Fractions - Arithmetic Step by Step

Multiply 2/3 × 3/4. Multiply the numerators (2 × 3 = 6) and the denominators (3 × 4 = 12) to get 6/12, then simplify to 1/2.

fraction-multiplication To multiply fractions, multiply straight across: numerator × numerator and denominator × denominator. The result often simplifies, so always check for common factors after multiplying.

Example

Multiply 2/3 by 3/4, then simplify.

highlighted = computed this step

Step 1 — Set up

Set up the fraction expression.

\frac{2}{3} \times \frac{3}{4}

Step 2 — Multiply across

Multiply across to get numerator 6 and denominator 12.

\frac{2}{3} \times \frac{3}{4} = \hlmath{\frac{6}{12}}

Step 3 — Simplify

Simplify the fraction to 1/2.

\frac{6}{12} = \hlmath{\frac{1}{2}}

Step 4 — Result

Read the final result.

\frac{2}{3} \times \frac{3}{4} = \frac{1}{2}