Calc

# Fractions Calculators

Use the first calculator to add, subtract, multiply or divide fractions. Simply enter your fractions, choose your math operation and click the button. Use the second calculator to simplify fractions, using the greatest common factor. Should you need any help with calculating fractions manually, please see the information at the bottom of this page.

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## Use this calculator to simplify a fraction

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#### Disclaimer

Whilst every effort has been made in building this fractions calculator, we are not to be held liable for any special, incidental, indirect or consequential damages or monetary losses of any kind arising out of or in connection with the use of the converter tools and information derived from the web site. This fractions calculator is here purely as a service to you, please use it at your own risk. Do not use calculations for anything where loss of life, money, property, etc could result from inaccurate conversions.

## How to calculate fractions - FAQ

I've been asked to provide some information about how the fractions calculator works out its results. So, I've included the formulae below along with some examples. Note that you need to have JavaScript enabled in your browser for these fractions to appear correctly.

The formula for adding fractions is:

$$\dfrac{a}{b} + \dfrac{c}{d} = \dfrac{ad + bc}{bd}$$

An example:

$$\dfrac{2}{3} + \dfrac{1}{4} = \dfrac{(2\times4) + (3\times1)}{3\times4} = \dfrac{11}{12}$$

### Subtracting fractions

The formula for subtracting fractions is:

$$\dfrac{a}{b} - \dfrac{c}{d} = \dfrac{ad - bc}{bd}$$

An example:

$$\dfrac{2}{3} - \dfrac{1}{4} = \dfrac{(2\times4) - (3\times1)}{3\times4} = \dfrac{5}{12}$$

### Multiplying fractions

The formula for multiplying fractions is:

$$\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{ac}{bd}$$

An example:

$$\dfrac{2}{3} \times \dfrac{1}{4} = \dfrac{(2\times1)}{(3\times4)} = \dfrac{2}{12} = \dfrac{1}{6}$$

### Dividing fractions

The formula for dividing fractions is:

$$\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{ad}{bc}$$

An example:

$$\dfrac{2}{3} \div \dfrac{1}{4} = \dfrac{(2\times4)}{(3\times1)} = \dfrac{8}{3}$$

To learn how to calculate fractions using these formulae, take a look at our article how to add, subtract, multiply and divide fractions.