Question

Simplify the following:

$\frac{-3}{4}+\frac{-5}{14}$

Answer 1

Step 1: Converting given fraction into equivalent fractions.

To simplify, convert the given fractions into equivalent fractions, having the same denominators.

LCM (least common multiple) of $4$ and $14$ is $28$.

Now convert the given rational numbers in equivalent fraction with denominator $28$.

$\Rightarrow \frac{-3\times 7}{4\times 7}=\frac{-21}{28}$ and

$\frac{-5\times 2}{14\times 2}=\frac{-10}{28}$

Step 2: Adding $\frac{-21}{28}$ and $\frac{-10}{28}$

So, $\frac{-21}{28}+\frac{-10}{28}$

$$\begin{gathered} =\frac{-21-10}{28} \\ =\frac{-31}{28} \end{gathered}$$

Hence, $\frac{-3}{4}+\frac{-5}{14}=\frac{-31}{28}$