Question

Mark (✓) against the correct answer
The product of two numbers is $\frac{-1}{6}$. If one of them is $\frac{-5}{8}$, the other number is
(a) $\frac{-4}{15}$
(b) $\frac{4}{15}$
(c) $\frac{15}{4}$
(d) $\frac{-15}{4}$

Answer 1

$$\begin{gathered} \begin{array}{l}\left(\text{b}\right)\frac{4}{15}\\ \mathrm{Let}\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{be}x.\\ \frac{-5}{8}\times x=\frac{-1}{6}\\ \begin{array}{l}\text{=>x}=\frac{-1}{6}÷\left(\frac{-5}{8}\right)\\ =\frac{-1}{6}\times \left(\frac{8}{-5}\right)\\ =\frac{-4}{-15}\\ =\frac{4}{15}\end{array}\\ \end{array} \\ \mathrm{Hence},\mathrm{the}\mathrm{other}\mathrm{number}\mathrm{is}\frac{4}{15}. \end{gathered}$$