Question

Simplify:

$\frac{7}{9}-\left(\frac{11}{12}-\frac{5}{36}\right)$

Answer 1

Given : $\frac{7}{9}-\left(\frac{11}{12}-\frac{5}{36}\right)$

In the given equation first we open the bracket.

$\Rightarrow \frac{7}{9}-\frac{11}{12}+\frac{5}{36}$

To convert them in equivalent form, take LCM of the denominator.

So, LCM of $9,12$ and $36$ is $36$.

Now convert all fractions into equivalent fractions with denominator $36$ and simplify,

$\frac{7\times 4}{9\times 4}-\frac{11\times 3}{12\times 3}+\frac{5\times 1}{36\times 1}=\frac{28}{36}-\frac{33}{36}+\frac{5}{36}$

$$\begin{gathered} =\frac{28-33+5}{36} \\ =\frac{0}{36} \\ =0 \end{gathered}$$

Hence, $\frac{7}{9}-\left(\frac{11}{12}-\frac{5}{36}\right)=0$