Calc

# Fractions Calculators

Use the first calculator to add, subtract, multiply or divide fractions. Use the second calculator to simplify fractions, using the greatest common factor. Finally, use the third calculator to convert a decimal to a fraction. Should you need any help with calculating fractions manually, please see the information at the bottom of this page.

## Mixed fractions calculator

For simple fractions, enter the fraction with a slash (/). Example: 3/4. For mixed numbers, use spaces. Example: 16 3/4.

## Simplify a fraction

Find the common factor of a fraction and then simplify it to its lowest form. A decimal conversion is also provided.

## Convert a decimal number to a fraction

Change a decimal to a fraction. To convert a repeating decimal, enter into the second box the number of digits from the end of the decimal to repeat.

#### 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.

## Calculating fractions with repeating decimals

My decimal to fraction calculator (featured in the third tab above) gives you the ability to enter repeating decimals by utilising the 'Number of trailing decimal places to repeat' box. To use it, simply enter the number of digits from the end of the decimal to repeat. For other non-repeating decimals, keep the default value at 0.

As an example, if you want to convert a repeating decimal such as 1.5476... then you should enter 1.5476 into the Decimal box and 4 into the Number of trailing decimal places to repeat box (signifying that the last 4 digits of the number should repeat).

## Fractions calculator - 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 fraction formulae and examples to appear correctly formatted.

In order to add fractions together, use the following formula:

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

Example of how to add fractions:

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

### Subtracting fractions

To subtract fractions, the following formula can be used:

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

Example of how to subtract fractions:

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

### Multiplying fractions

When multiplying fractions, this formula will help:

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

Example of how to multiply fractions:

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

### Dividing fractions

If you are looking to divide two fractions, give this formula a try:

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

Example of how to divide fractions:

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

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

If you would like help with converting between decimals and fractions, see our article how to convert a decimal to a fraction.