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 the result by dividing both parts by their GCD. Example: 2/3 × 3/4 = 6/12 = 1/2.

Can I cross-simplify before multiplying?

Yes. Cross-simplification (or cross-cancellation) means simplifying diagonally before multiplying. For 2/3 × 3/4, you can simplify the 3s to 1, giving 2/1 × 1/4 = 2/4 = 1/2. This tool shows the final simplified result.

How do I multiply a fraction by a whole number?

A whole number n can be written as n/1. So multiplying 2/3 by 4 is the same as 2/3 × 4/1 = 8/3. In the calculator, enter 4 as the numerator and 1 as the denominator for the second fraction.

Is my data sent to a server?

All calculations run locally in your browser. No data is sent to our servers.

Multiply fractions calculator

Multiply two fractions and get the simplified result instantly. Enter the numerator and denominator for each fraction and this calculator multiplies them and simplifies the result. Step-by-step working is shown so you can follow the method. All calculations run locally in your browser.

How it works

For addition and subtraction, the tool finds the least common multiple (LCM) of the two denominators, converts both fractions, and adds or subtracts the numerators. For multiplication, numerators and denominators are multiplied directly. For division, the second fraction is flipped (reciprocal) and multiplied. Results are simplified using the greatest common divisor (GCD) via the Euclidean algorithm. All arithmetic runs in JavaScript in your browser.

Processing runs in your browser

All calculations happen locally in your browser tab. Our servers are not involved at any point.

Related operations

For converting a fraction into a percentage, try the percentage calculator. To switch between metric and imperial measures, use the unit converter. For translating numbers into Roman numerals, see the Roman numeral converter.

Frequently asked questions

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 the result by dividing both parts by their GCD. Example: 2/3 × 3/4 = 6/12 = 1/2.
Can I cross-simplify before multiplying?: Yes. Cross-simplification (or cross-cancellation) means simplifying diagonally before multiplying. For 2/3 × 3/4, you can simplify the 3s to 1, giving 2/1 × 1/4 = 2/4 = 1/2. This tool shows the final simplified result.
How do I multiply a fraction by a whole number?: A whole number n can be written as n/1. So multiplying 2/3 by 4 is the same as 2/3 × 4/1 = 8/3. In the calculator, enter 4 as the numerator and 1 as the denominator for the second fraction.
Is my data sent to a server?: All calculations run locally in your browser. No data is sent to our servers.

Multiply fractions calculator

How it works

Processing runs in your browser

Related operations

Frequently asked questions

Related tools