Question

Tick (✓) the correct answer
What should be added to $\frac{7}{12}\mathrm{to}\mathrm{get}\frac{-4}{15}?$
(a) $\frac{17}{20}$
(b) $\frac{-17}{20}$
(c) $\frac{7}{20}$
(d) $\frac{-7}{20}$

Answer 1

(b) $\frac{-17}{20}$
Let the required number be x.

Now,

$\frac{7}{12}+x=\frac{-4}{15}$

$\Rightarrow x=\left(\frac{-4}{15}+\frac{-7}{12}\right)$

$$\begin{gathered} =\frac{4\times \left(-4\right)+5\times \left(-7\right)}{60} \\ =\frac{\left(-16\right)+\left(-35\right)}{60} \\ =\frac{-51}{60} \\ =\frac{-17}{20} \end{gathered}$$