# What is a Rational Number

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A rational number is a number which has a numerator and a denominator. Rational numbers are also called as fractions and in some cases they can also be described as ‘a part of the whole’. Generally rational numbers are represented in ‘a/b’ form where ‘a’ and ‘b’ are any integers except ‘b’ ≠ 0. If the number in the denominator is ‘0’, then the rational number becomes undefined and is no more called a rational number. In some cases rational numbers can be simplified further as well.

Example 1: Add the given two rational numbers: 4/7+ 3/7.

Given expression: 4/7+ 3/7

Here both 4/7 and 3/7 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 ‘4/7’ and ‘3/7’ have the same denominator ‘7’, hence they can be added directly!

This gives: 4/7+ 3/7= (4+ 3)/= 7/7.

‘7/7’ can be simplified by dividing the top and the bottom by the factor ‘7’->7/7= 1/1

Therefore, 4/7+ 3/7= 1/1= 1.

Example 2: Multiply the given two rational numbers, (3/5) * (4/6)

Given rational numbers:  (3/5) * (4/6)

Now in order to multiply the given two rational numbers, we multiply the numbers in the numerator’s together and the numbers in the denominators together.

This gives: (3/5) * (4/6) = (3 * 4)/ (5 * 6) = 12/30

Now we can simplify ‘12/30’ by dividing the top and the bottom with their common factor ‘6’-> 12/30 = 2/5

Hence we get: (3/5) * (4/6) = 2/5.