Question

Mark (✓) against the correct answer
The product of two numbers is $\frac{-1}{4}$. If one of them is $\frac{-3}{10},$ then the other is
(a) $\frac{5}{6}$
(b) $\frac{-5}{6}$
(c) $\frac{4}{3}$
(d) $\frac{-8}{5}$

Answer 1

(a) $\frac{5}{6}$

Let the required number be $x$.
Now,

$$\begin{gathered} \frac{-3}{10}\times x=\frac{-1}{4} \\ \Rightarrow x=\frac{-1}{4}÷\left(\frac{-3}{10}\right) \\ \Rightarrow x=\frac{-1}{4}\times \frac{10}{-3} \\ \Rightarrow x=\frac{10}{12}=\frac{5}{6} \end{gathered}$$