Question

Add the following rational numbers:
$-4$ and $\frac{1}{2}$

Answer 1

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

$-4$ can also be written as $\frac{-4}{1}$

$LCM$ of $1$ and $2$ is $2$

$\therefore \frac{-4}{1}=\frac{(-4\times (2\left)\right)}{(1\times (2\left)\right)}=\frac{-8}{2}$

Now, their denominator is same.

So,

$\frac{-8}{2}+\frac{1}{2}=\frac{-8+1}{2}=\frac{-7}{2}$