Let us learn about the Addition of Rational Numbers with Same Denominator from here. Get to know the detailed procedure on how to add rational numbers with the same denominator. Have a look at the few examples to better understand the concept of Rational Numbers Addition having the Same Denominator.

## How to Add Rational Numbers with the Same Denominator?

Below are easy guidelines listed on how to Add Rational Numbers with the Same Denominator. Follow them while adding rational numbers having the common denominator. They are along the lines

Step 1: Determine the numerators of two given rational numbers and their common denominator.

Step 2: Add the Numerator of the Rational Numbers obtained in the earlier step.

Step 3: Make a note of the Rational Number whose numerator is the sum of rational numbers obtained in step 2 and keep the denominator unaltered. Simplify the Rational Number if Required.

From the above steps, we can infer that a/b, c/b are two rational numbers then the Addition of Two Rational Numbers with the Same Denominator is given by (a+b)/c.

### Solved Examples on Addition of Rational Numbers with Same Denominator

1. Find the Sum of 3/9 and -7/9?

Solution:

Given Rational Numbers are 3/9 and -7/9

= 3/9+(-7)/9

= (3-7)/9

= -4/9

Sum of 3/9, -7/9 is -4/9.

2. Find the Sum of 8/-10 and 4/10?

Solution:

Given Rational Numbers are 8/-10, 4/10

Since the rational numbers don’t have a common denominator. Firstly, make them into a positive denominator.

8/-10 = 8*(-1)/-10*(-1) = -8/10

= -8/10+4/10

= (-8+4)/10

= -4/10

Solution:

Given Rational Numbers are 3/5 and 17/5

Adding the given Rational Numbers we get

= 3/5+17/5

= (3+17)/5

= 20/5

On Simplifying we get the following Rational Number

= 4/1