Question

Tick (✓) the correct answer
$\frac{4}{9}÷?=\frac{-8}{15}$
(a) $\frac{-32}{45}$
(b) $\frac{-8}{5}$
(c) $\frac{-9}{10}$
(d) $\frac{-5}{6}$

Answer 1

(d) $\frac{-5}{6}$

Let $\frac{4}{9}÷\frac{a}{b}=\frac{-8}{15}$

Now,

$$\begin{gathered} \frac{4}{9}\times \frac{b}{a}=\frac{-8}{15} \\ \Rightarrow \frac{b}{a}=\frac{-8}{15}\times \frac{9}{4} \end{gathered}$$

$=\frac{-6}{5}$

$\Rightarrow \frac{a}{b}=\frac{5}{-6}$

$=\frac{-5}{6}$
Hence, the missing number is $\frac{-5}{6}$.