This page contains a *fractions calculator*. Enter two fractions and choose whether to add, subtract, multiple, or divide the fractions. We'll perform your choice of math and let the tool return you the simplest fraction form.

## Fractions Arithmetic Calculator

**Table of Contents**show ▼

## What are Fractions?

*Fractions* are two numbers expressed as a part of a whole. They consist of a top number (numerator) and a bottom number (denominator) and imply *division*.

## Fraction Arithmetic

For the four basic arithmetic functions – *addition*, *subtraction*, *division*, and *multiplication* – there are basic rules to follow when working with fractions. I'll walk you through each one and show an example.

### Adding Fractions

To add two fractions:

- First, convert both fractions to a common base by multiplying top and bottom by the same number to equal a base. (You can find the least common denominator, or lazily multiply all denominators together).
- Add the two numerators, and place the result in a new numerator.
- Add the two denominators and place the result in a new denominator.
- (Optional) Find the reduced or simplest form of the fraction.

#### Example Fraction Addition

Let's add two fractions together: 3/9 and 1/7.

### Subtracting Fractions

To subtract two fractions:

- First, convert both fractions to a common base. You then need to multiply top and bottom numbers by the same number to equal a base. (Either find the least common denominator, or simply multiply the denominators together).
- Subtract the second numerator from the first, placing the result in a new numerator.
- Subtract the second denominator from the first, placing the result in a new denominator.
- (Optional) Find the reduced or simplest fraction form.

#### Example Fraction Subtraction

Let's subtract the fraction 1/7 from 6/21.

### Multiplying Fractions

Multiplying two fractions is the easiest one to remember – just multiply the numerator and denominator across:

- Multiply the first numerator by the second and put it in a new numerator.
- Multiply the first denominator by the second and put it in a new denominator.
- (Optional) Find the reduced or simplest fraction form.

#### Example Fraction Multiplication

Let's multiply the fractions 3/9 and 1/7.

### Dividing Fractions

Dividing fractions is also relatively straightforward. We add one step to multiplication and invert or "flip" the second fraction.

- Rewrite the second fraction to take its inverse, or put the denominator over the numerator.
- Multiply the first numerator by the new numerator of the rewritten second and put it in a third numerator.
- Multiply the first denominator by the new denominator of the rewritten second and put it in a third denominator.
- (Optional) Find the reduced or simplest fraction form.

#### Example Fraction Division

Let's divide the fraction 1/7 by 1/3.

## How to Use the Fractions Calculator

You can use the fractions calculator without remembering all those arithmetic functions!

In the box for **Fraction One**, enter the numerator for the first fraction. In the box for **Fraction Two**, enter the numerator and denominator of the second fraction.

In the **Operation** menu, choose which function to perform – do you want to add (+), subtract (-), multiply (*) or divide (÷) the fractions? Choose your preference from the menu. Then hit the **Perform Fractional Math** button.

The automatically simplified answer will be listed in the **Result** box.