Question

Simplify the following:

$\frac{-7}{8}+\frac{5}{6}$

Answer 1

Step 1: Converting given fraction into equivalent fractions.

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

LCM of $8$ and $6$ is $24$.

So,

$\frac{-7\times 3}{8\times 3}=\frac{-21}{24}$ and

$\frac{5\times 4}{6\times 4}=\frac{20}{24}$

Step 2: Adding $\frac{-21}{24}$ and $\frac{20}{24}$

$\frac{-21}{24}+\frac{20}{24}$

$$\begin{gathered} =\frac{-21+20}{24} \\ =\frac{-1}{24} \end{gathered}$$

Hence, $\frac{-7}{8}+\frac{5}{6}=\frac{-1}{24}$.