Decimal to Fraction Calculator

What is Decimal?

Decimals represent a whole unit or a part of a whole number. A decimal number signifies that there is a decimal point between a whole number and a fractional part of the entire number. The decimal point is the most important part and it is exactly to the right of the unit’s position and tells us what each position means. 

What is a Fraction?

A fraction is a mathematical way to write parts of whole numbers. For instance, Let’s take an entire cake, and divide it up equally between 2 people, each person will have 12  of the cake or if written in words, one half of that cake.

How to Convert Decimal To Fraction Calculator?

To illustrate how to convert decimals to fractions, let’s take 5.5 as an example. When converting a decimal to a fraction, these steps should be followed:

1. You should start by splitting the decimal up into 2 parts: the part on the left of the decimal point and the part on the right. 

2. The decimal 5.5 has 2 parts: the ”5” which is the number of whole units, and ”.5” which is the fractional part. Identify the number of decimal places the fractional part has and convert it into a fraction with a denominator of 1 followed by the equivalent number of zeros as decimal places. 

3. In the given number, there is only one decimal place, so we will put 10 in the denominator. Hence, we can write 

                              0.5 = 5/10         →                5.5 = 55/10

4. As a final step, simplify the fraction by finding the greatest common factor between the numerator and denominator and dividing through: 

5/10 = 1*52*5 = 1/2

5. So the decimal 5.5 can be written as the fraction: 11/2

Conversion Table

Solved Examples

Example 1: Convert 1.025 to fractions.

Solution: The decimal 1.025 has 2 parts: the ”1” which is the number of whole units, and ”.025” which is the fractional part. 

In this case, there are 3 decimal places, so we put 1000 into the denominator. So, we can write 

                              1.025 = 1025/1000         

Lastly, simplify the fraction by dividing through HCF

1.025 = 1025/1000 = 4140 = 1140

Therefore, 1.025 is equal to 1140

Example 2: Convert 4.666 to fractions.

Solution: The decimal 4.666 has 2 parts: the ”4” which is the number of whole units, and ”.666” which is the fractional part. 

In this case, there are 3 decimal places, so we put 1000 into the denominator. So, we can write 

                              4.666 = 4666/1000         

Lastly, simplify the fraction by dividing through HCF

4.666 = 4666/1000 = 2333/500 = 2333/500

Therefore, 4.666 is equal to 2333/500.