# Fraction Calculator

URL: https://speedycalculator.com/calculators/math/fraction/
Last updated: 2026-10-25

> The fraction calculator adds, subtracts, multiplies or divides two fractions and gives the answer as a simplified fraction or mixed number and as a decimal.

## Inputs

- First numerator
- First denominator
- Operation
- Second numerator
- Second denominator

## Results

- Simplified numerator
- Simplified denominator
- Result
- Decimal

## Formula

```
a/b + c/d = (ad + bc) ÷ bd
a/b × c/d = ac ÷ bd
a/b ÷ c/d = ad ÷ bc
```

## Explanation

Fractions represent parts of a whole. To add or subtract them, they must share a common denominator.

### How to use the Fraction Calculator

- **First numerator**
- **First denominator**
- **Operation**
- **Second numerator**
- **Second denominator**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

The calculator applies the chosen operation to the two fractions, then simplifies the result to its lowest terms.

### Inputs explained

FieldWhat to enterFirst numeratorA numberFirst denominatorA numberOperationChoose one: + add, − subtract, × multiply, ÷ divideSecond numeratorA numberSecond denominatorA number

### What each result means

- **Simplified numerator** = [Numerator] ÷ [Common factor] × sign([Denominator])
- **Simplified denominator** = abs([Denominator] ÷ [Common factor])
- **Result** = [Numerator] ÷ [Denominator]
- **Decimal** = [Numerator] ÷ [Denominator]

## Worked example

Inputs — First numerator: 3; First denominator: 4; Operation: + add; Second numerator: 2; Second denominator: 3.

Results — Simplified numerator = 17; Simplified denominator = 12; **Result = 1 5/12**; Decimal = 1.41666667.

## Key terms

- **Denominator**: The bottom number of a fraction.
- **Mixed number**: A whole number plus a proper fraction.

## FAQ

**How do I add fractions with different denominators?**
Convert both to a common denominator, add the numerators and simplify.

**Why flip the second fraction when dividing?**
Dividing by a fraction is the same as multiplying by its reciprocal.

**What formula does the Fraction Calculator use?**
a/b + c/d = (ad + bc) ÷ bd.