Question

Tick (✓) the correct answer
$\left(3+\frac{5}{-7}\right)=?$
(a) $\frac{-16}{7}$
(b) $\frac{16}{7}$
(c) $\frac{-26}{7}$
(d) $\frac{-8}{7}$

Answer 1

(b) $\frac{16}{7}$

$3=\frac{3}{1}$ and $\frac{5}{-7}=\frac{-5}{7}$

Now, we have:

$\left(3+\frac{5}{-7}\right)=\left(\frac{3}{1}+\frac{-5}{7}\right)$

LCM of 1 and 7 is 7

$\left(\frac{3}{1}+\frac{-5}{7}\right)=\frac{7\times 3+1\times \left(-5\right)}{7}$
$$\begin{gathered} =\frac{21+\left(-5\right)}{7} \\ =\frac{16}{7} \end{gathered}$$