Question

Evaluate:

vi) $\frac{7}{-26}+\frac{16}{39}$

Answer 1

Step 1: Finding LCM of denominators of
given numbers
Given, numbers $\frac{7}{-26},\frac{16}{39}$.
$\therefore \text{LCM of}26,39$
$=2\times 3\times 13=78$

Step 2: Making the denominators equal
to LCM and finding the result

Given, $\frac{7}{-26}+\frac{16}{39}$
$=\frac{7\times 3}{-26\times 3}+\frac{16\times 2}{39\times 2}[\because \text{LCM of}26,39=78]$
$=\frac{-21}{78}+\frac{32}{78}=\frac{-21+32}{78}=\frac{11}{78}$

Hence, the required result is $\frac{11}{78}$.