Question

Add the following rational numbers:
$\frac{-5}{11}$ and $\frac{7}{-11}$

Answer 1

To, add rational numbers their denominators should be same, so it will become common and numerators will be added to get answer.

$\therefore \frac{7}{-11}=\frac{(7\times (-1\left)\right)}{(-11\times (-1\left)\right)}=\frac{-7}{11}$ and $\frac{-5}{11}$

Now, their denominator is same.

So,

$\frac{-5}{11}+\frac{-7}{11}=\frac{-5-7}{11}=\frac{-12}{11}=\frac{-12}{11}$