# Multiplying Fractions Calculator

URL: https://speedycalculator.com/calculators/math/multiplying-fractions/
Last updated: 2026-10-30

> The multiplying fractions calculator multiplies two to five fractions – numerators times numerators, denominators times denominators – and simplifies the product.

## Inputs

- How many fractions?
- Fraction form
- Fraction 1: whole
- Fraction 1: numerator
- Fraction 1: denominator
- Fraction 2: whole
- Fraction 2: numerator
- Fraction 2: denominator
- Fraction 3: whole
- Fraction 3: numerator
- Fraction 3: denominator
- Fraction 4: whole
- Fraction 4: numerator
- Fraction 4: denominator
- Fraction 5: whole
- Fraction 5: numerator
- Fraction 5: denominator

## Results

- Result
- Mixed number
- Decimal
- Steps

## Formula

```
(a/b) × (c/d) × … = (a·c·…) / (b·d·…)
```

## Explanation

Multiplying fractions is the easiest fraction operation – no common denominator is needed. It answers questions like "what is half of three quarters?" (1/2 × 3/4 = 3/8).

### How to use the Multiplying Fractions Calculator

- **How many fractions?**
- **Fraction form**
- **Fraction 1: whole**
- **Fraction 1: numerator**
- **Fraction 1: denominator**
- **Fraction 2: whole**
- **Fraction 2: numerator**
- **Fraction 2: denominator**
- **Fraction 3: whole**
- **Fraction 3: numerator**
- **Fraction 3: denominator**
- **Fraction 4: whole**
- **Fraction 4: numerator**
- **Fraction 4: denominator**
- **Fraction 5: whole**
- **Fraction 5: numerator**
- **Fraction 5: denominator**

Everything is calculated in your browser, so results appear instantly and nothing you type is sent to a server.

### How it works

Multiply all numerators and all denominators, then divide both by their greatest common factor. Cancelling common factors before multiplying gives the same result with smaller numbers.

## Worked example

Inputs — How many fractions?: 2; Fraction form: Simple fraction; Fraction 1: numerator: 2; Fraction 1: denominator: 3; Fraction 2: numerator: 9; Fraction 2: denominator: 4.

Results — **Result = 3/2**; Mixed number = 1 1/2; Decimal = 1.5; Steps = 1. Multiply the numerators: 2 × 9 = 18
2. Multiply the denominators: 3 × 4 = 12
3. Simplify: 3/2 = 1 1/2.

## Key terms

- **Product**: The result of multiplication.

## FAQ

**How do I multiply 2/3 by 9/4?**
(2 × 9)/(3 × 4) = 18/12 = 3/2.

**Do I need a common denominator?**
No – that is only for adding and subtracting.

**What is cross-cancelling?**
Dividing a numerator and a different denominator by a common factor before multiplying.

**How do I multiply a fraction by a whole number?**
Write the whole number over 1.


## Sources

- [OpenStax – Prealgebra 2e](https://openstax.org/details/books/prealgebra-2e)
- [Wolfram MathWorld – Fraction](https://mathworld.wolfram.com/Fraction.html)