Question

Tick (✓) the correct answer
$\left(\frac{31}{-4}+\frac{-5}{8}\right)=?$
(a) $\frac{67}{8}$
(b) $\frac{57}{8}$
(c) $\frac{-57}{8}$
(d) $\frac{-67}{8}$

Answer 1

(d) $\frac{-67}{8}$
$\frac{31}{-4}=\frac{-31}{4}$

We have:

$\left(\frac{31}{-4}+\frac{-5}{8}\right)=\left(\frac{-31}{4}+\frac{-5}{8}\right)$

LCM of 4 and 8 is 8, that is, $\left(4\times 1\times 2\right).$

$\left(\frac{-31}{4}+\frac{-5}{8}\right)=\frac{2\times \left(-31\right)+1\times \left(-5\right)}{8}$
$$\begin{gathered} =\frac{\left(-62\right)+\left(-5\right)}{8} \\ =\frac{-67}{8} \end{gathered}$$