Question

Add the following rational numbers:​

vi. $\frac{5}{36}\text{and}\frac{-7}{12}$

Answer 1

Given: $\frac{5}{36}\text{and}\frac{-7}{12}$

$\therefore \text{LCM of denominators 36 and 12}=36$

Expressing each of the given rational number with 36 as common denominator

$\Rightarrow \frac{-7}{12}=\frac{-7\times 3}{12\times 3}=\frac{-21}{36}$

$\text{Now},\frac{5}{36}+\frac{-7}{12}=\frac{5}{36}+\frac{-21}{36}$

$=\frac{5-21}{36}$

$=\frac{-16}{36}$

$=\frac{-4}{9}$

Hence, the sum of $\frac{5}{36}\text{and}\frac{-7}{12}\text{is}\frac{-4}{9}$.