Question

Tick (✓) the correct answer
$\left(\frac{-5}{16}+\frac{7}{12}\right)=?$
(a) $-\frac{7}{48}$
(b) $\frac{1}{24}$
(c) $\frac{13}{48}$
(d) $\frac{1}{3}$

Answer 1

(c) $\frac{13}{48}$
The denominators of the given rational numbers are 16 and 12, respectively.
LCM of 16 and 12 is $\left(4\times 4\times 3\right),\mathrm{that}\mathrm{is},48$
Now, we have:
$\left(\frac{-5}{16}+\frac{7}{12}\right)=\frac{3\times \left(-5\right)+4\times 7}{48}$

$$\begin{gathered} =\frac{\left(-15\right)+28}{48} \\ =\frac{13}{48} \end{gathered}$$