# Fraction to Decimal Calculator

Enter the upper and lower values of the fraction and click calculate button to convert fraction into decimal

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## Fraction to decimal calculator

Fraction to decimal calculator uses the GCF method to find the decimal representation of a fraction value. The interface of this tool makes it easy to operate in comparison to other online calculators.

It provides the calculations with steps in the result area.

## What is the fraction to decimal conversion?

Fractions and decimals are two different methods to represent a value in mathematics. Both have their advantages in different types of calculations.

For instance, decimals are used in finance and health sectors while fractions are used in designing, construction etcetera.

## How to convert fractions to decimals?

For this, it is important to know how both things look. A fraction is written in the ‘p’ over ‘q’ form where ‘p’ is known as the numerator and ‘q’ as the denominator e.g. ¼

A decimal value is written in a straight line with a decimal point somewhere in the value e.g. 12.45.

The conversion of fractions to decimals involves the basic arithmetic operation; division. Divide the upper value with the lower value until fully solved.

A trick is used to make the division easier. Find the Greatest common factor of both values and divide with that first. This will give a simpler fraction hence the division will be easy.

To understand more clearly, see the example below.

Example:

What is the decimal form of the fraction (2)(¼)?

Solution:

Step 1: Convert the mixed number to an improper fraction

= (2)(¼)

= (8+1) / (4)

= 9/4

Step 2: Perform division.

= 9 ÷ 4

`= 2.25 `

Example 2: (using GCF method)

Solve the fraction 22/24 to find its decimal form.

Solution:

Step 1: Find the GCF.

Using the GCF calculator:

GCF of 22 and 24 is 2.

Step 2: Divide both values by 2.

22/2 = 11  and 24/2 = 12.

Final fraction = 11/12

Step 3: Solve to find the decimal form.

= 11/12

`= 0.9167…`