How do I multiply two fractions?

Multiply their numerators and multiply their denominators. Then divide both products by their greatest common divisor. For example, 2/3 times 9/10 gives 18/30, which reduces to 3/5.

Can I enter mixed numbers or decimal fractions?

The four fields accept signed integers only. Convert a mixed number to an improper fraction first. For example, 1 1/2 becomes numerator 3 and denominator 2. Decimal and expression input are not supported.

Does this round large fraction products?

No. It uses exact integer arithmetic and reduces the result with a greatest common divisor. Each field accepts up to 200 digits. The output keeps a positive denominator and does not add a rounded decimal approximation.

Fraction Multiplication Calculator

Tool workspace

Ready

Your input stays in this browser.

Run the tool when your input is ready.

Input

Add your source and choose the required options.

First numerator

First denominator

Second numerator

Second denominator

Ready for a result

Run the tool to create the result.

Direct answer

What Fraction Multiplication Calculator does

Multiply fractions by multiplying their numerators and their denominators. Reduce the resulting fraction by dividing both integers by their greatest common divisor. This calculator uses exact integer arithmetic and keeps the simplified denominator positive.

Output

What you receive

The result contains the exact simplified fraction, numerator, denominator, unreduced multiplication, and simplification divisor.

Use this tool

How to multiply and simplify fractions

Enter the first numerator and its nonzero denominator.
Enter the second numerator and its nonzero denominator.
Select Multiply and inspect the unreduced multiplication and simplified result.

Processing

Calculate in your browser

The calculator processes your values locally. It does not send them to a calculation service.

Worked example

Test Fraction Multiplication Calculator with a safe sample

Input: First fraction 2/3; second fraction 9/10.

Settings: Enter 2, 3, 9, and 10 in the four integer fields.

Expected result

18/30 reduces to 3/5 using a greatest common divisor of 6.

A zero numerator produces 0/1. A negative product keeps its minus sign on the numerator.

Limits

Check before you use the result

Each field accepts up to 200 signed integer digits. Denominators cannot equal zero.
Convert mixed numbers to improper fractions before entry. Decimal values and expressions are not accepted.
The result is an exact fraction. This tool does not produce rounded decimals or perform fraction addition or division.

Topics

Explore connected categories

Numbers, Units & Calculators