Question

Evaluate

$\frac{-3}{-11}+\frac{5}{7}$

Answer 1

Given $\frac{-3}{-11}+\frac{5}{7}$

Since, $\frac{-3}{-11}=\frac{-3\times (-1)}{-11\times (-1)}=\frac{3}{11}$

Therefore, we have to evaluate $\frac{3}{11}+\frac{5}{7}$

Now,

$$\begin{gathered} \frac{3}{11}+\frac{5}{7}=\frac{3\times 7}{11\times 7}+\frac{5\times 11}{7\times 11}\{\sin ceLCM(11,7)=77\} \\ =\frac{21}{77}+\frac{55}{77} \\ =\frac{21+55}{77} \\ =\frac{76}{77} \end{gathered}$$

Hence, the required answer is $\frac{76}{77}$.