Question

Evaluate:

iii) $\frac{-3}{8}+\frac{-5}{12}$

Answer 1

Step 1: Finding LCM of denominators of
given numbers

Given, numbers $\frac{-3}{8},\frac{-5}{12}$.
$\therefore \text{LCM of}8,12$
$=2\times 3\times 4$
$=24$

Step 2: Make the denominators equal to
LCM and find the result
$\frac{-3}{8}+\frac{-5}{12}$
$=\frac{-3\times 3}{8\times 3}+\frac{(-5\times 2)}{12\times 2}[\because \text{LCM of}8,12=24]$
$=\frac{-9}{24}+\frac{(-10)}{24}=\frac{-9-10}{24}=\frac{-19}{24}$
Hence, the required result is $\frac{-19}{24}$.