# Simplify Fractions Calculator

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

> The simplify fractions calculator reduces a fraction to its lowest terms by dividing the numerator and denominator by their greatest common factor. It also shows the mixed number and decimal.

## Inputs

- Numerator
- Denominator

## Results

- Greatest common factor
- Simplified numerator
- Simplified denominator
- Decimal

## Formula

```
Simplified = (n ÷ gcd) / (d ÷ gcd)
```

## Explanation

A fraction is in lowest terms when the numerator and denominator share no factor other than 1.

### How to use the Simplify Fractions Calculator

- **Numerator**
- **Denominator**

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

### How it works

Find the greatest common factor of the two numbers and divide both by it.

### Inputs explained

FieldWhat to enterNumeratorA numberDenominatorA number

### What each result means

- **Greatest common factor** = gcd([Numerator], [Denominator])
- **Simplified numerator** = [Numerator] ÷ [Greatest common factor]
- **Simplified denominator** = [Denominator] ÷ [Greatest common factor]
- **Decimal** = [Numerator] ÷ [Denominator]

## Worked example

Inputs — Numerator: 84; Denominator: 126.

Results — Greatest common factor = 42; **Simplified numerator = 2**; Simplified denominator = 3; Decimal = 0.66666667.

## FAQ

**Do I need to simplify answers?**
Teachers usually expect lowest terms unless told otherwise.

**What if the GCF is 1?**
The fraction is already in lowest terms.

**What formula does the Simplify Fractions Calculator use?**
Simplified = (n ÷ gcd) / (d ÷ gcd).