# What is a Fraction

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Fraction is a number which is written in the form ‘a/b’ where ‘a’ and ‘b’ are any integers except b ≠ 0. Fractions are written in this form and hence they have numerator and a denominator. The place where the number is written in the top of the fraction is known as the numerator and the place where a number is written in the bottom is known as the denominator of the fraction. Fractions can be simplified further if possible and be converted to various other number forms.

Example 1: Add the given two fractions: 3/8 + 1/8.

Given expression: 3/8 + 1/8

Here both 3/8 and 1/8 are fractions and they are being added together.

In order to add or subtract two fractions, we have to make sure that the fractions have the same

denominator.

Both ‘3/8’ and ‘1/8’ have the same denominator ‘8’, hence they can be added directly!

This gives: 3/8+1/8 = (3+ 1)/8= 4/8.

‘4/8’ can be simplified by dividing the top and the bottom by the factor ‘4’==>4/8= 1/2

Therefore, 3/8+ 1/8 = 4/8 = 1/2

Example 2:Subtract the given two fractions: 17/4 – 5/4.

Given expression: 17/4 – 5/4

Here both 17/4 and 5/4 are fractions and they are being subtracted together.

In order to add or subtract two fractions, we have to make sure that the fractions have the same

denominator.

Both ‘17/4’ and ‘5/4’ have the same denominator ‘4’, hence they can be subtracted directly!

This gives: 17/4- 5/4 = (17- 5)/4= 12/4.

‘12/4’ can be simplified by dividing the top and the bottom by the factor ‘4’==>12/4= 3/1.

Therefore,17/4- 5/4 = 12/4 = 3/1.