Question

Simplify:

$\frac{7}{8}-\left(\frac{11}{12}+\frac{4}{5}\right)$

Answer 1

Given : $\frac{7}{8}-\left(\frac{11}{12}+\frac{4}{5}\right)$

In the given equation first we open the bracket.

$\Rightarrow \frac{7}{8}-\frac{11}{12}-\frac{4}{5}$

LCM of $8,12$ and $5$ is $120$.

Now convert all fractions into equivalent fractions with denominator $120$.

$\Rightarrow \frac{7\times 15}{8\times 15}-\frac{11\times 10}{12\times 10}+\frac{4\times 24}{5\times 24}=\frac{105}{120}-\frac{110}{120}+\frac{96}{120}$

$$\begin{gathered} =\frac{105-110+96}{120} \\ =\frac{-101}{120} \end{gathered}$$

Hence, $\frac{7}{8}-\left(\frac{11}{12}+\frac{4}{5}\right)=\frac{-101}{120}$