ADDITION OF RATIONAL NUMBER WITH SAME DENOMINATOR -
1. If a/b and c/b are two rational numbers with the same denominator, then a/b + c/b = (a+c)/b.
1. Find the sum 7/9 + −11/9.
Solution:
7/9 + −11/9
= 7+(−11)/9
= (7−11)/9
= −4/9 (Ans.)
2. Find the sum 8/−11 + 3/11
Solution:
We first express 8/−11 as a rational number with positive denominator.
We have, 8/−11 = 8×(−1)/(−11)×(−1) = −8/11.
Therefore, 8/−11 + 3/11
= (−8/11 + 3/11)
= (−8+3)/11
= −5/11 (Ans.)