Fractions

Multiplying Fractions Calculator

Multiply any two fractions with full step-by-step working. Shows how to multiply numerators, multiply denominators, then simplify the result.

First fraction

Mixed number

×Multiply

Second fraction

Mixed number

\frac{1}{8}

= 0.125 (decimal)

Step-by-step working

Multiply the numerators
$1 \times 1 = 1$
Multiply the top numbers together: 1 × 1 = 1.
Result:1
Multiply the denominators
$2 \times 4 = 8$
Multiply the bottom numbers together: 2 × 4 = 8.
Result:8
Write the result
$\frac{1}{2} \times \frac{1}{4} = \frac{1}{8}$
The product of the numerators over the product of the denominators.
Result:\frac{1}{8}

\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}

a, c

Numerators

b, d

Denominators

Example substitution

\frac{2}{3} \times \frac{3}{4} = \frac{6}{12} = \frac{1}{2}

Multiply numerators: 2×3=6. Multiply denominators: 3×4=12. Simplify: 6/12=1/2.

1/2 × 1/2

Answer: 1/4

2/3 × 3/4

Answer: 1/2

3/5 × 5/9

Answer: 1/3

How do you multiply fractions?+

Multiply the numerators together to get the new numerator, multiply the denominators together to get the new denominator, then simplify.

Do you need a common denominator to multiply fractions?+

No — unlike addition and subtraction, you do not need a common denominator to multiply fractions. Simply multiply across.

How do you multiply a fraction by a whole number?+

Write the whole number as a fraction over 1, then multiply numerators and denominators as normal.

How do you multiply mixed numbers?+

Convert each mixed number to an improper fraction first, then multiply numerators and denominators, and simplify the result.

Fraction Calculator

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Dividing Fractions Calculator

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Simplifying Fractions Calculator

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