# What are Rational Numbers

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Rational numbers are the numbers which are written in the ‘p/q’ form, where ‘p’ and ‘q’ are any integers except ‘q’ ≠ 0. The place where the number is written on the top such as ‘p’ is known as the numerator and the place where the number is written in the bottom such as ‘q’ is known as the denominator. Rational numbers are written in this format and they can be added, subtracted multiplied or divided. Rational numbers also represent ‘a part of a whole’ and also can be reduced to their lowest fraction form.

Example 1: Combine the given rational numbers, 2/3 + 4/3.

Given rational numbers: 2/3 + 4/3

In order to add or subtract given rational numbers, they should always have a common denominator.

In the given question, both 2/3 and 4/3 have common denominator as ‘3’.

Hence we can simply add the numbers in the numerator.

This gives: 2/3 + 4/3 = (2 + 4)/3 = 6/3

The fraction 6/3 can be reduced further by dividing top and bottom by their common factor ‘3’.

Hence 2/3 + 4/3 = 6/3 = 2/1.

Example 2: Combine the given rational numbers, 7/6 – 5/6.

Given rational numbers: 7/6 – 5/6

In order to add or subtract given rational numbers, they should always have a common denominator.

In the given question, both 7/6 and 5/6 have common denominator as ‘6’.

Hence we can simply subtract the numbers in the numerator.

This gives: 7/6 – 5/6 = (7 - 5)/6 = 2/6.

The fraction 2/6 can be reduced further by dividing top and bottom by their common factor ‘2’.

Hence 7/6 – 5/6 = 2/6 = 1/3.