Question:
Tick (✓) the correct answer
$\frac{4}{9} \div ?=\frac{-8}{15}$
(a) $\frac{-32}{45}$
(b) $\frac{-8}{5}$
(C) $\frac{-9}{10}$
(d) $\frac{-5}{6}$
Solution:
(d) $\frac{-5}{6}$
Let $\frac{4}{9} \div \frac{a}{b}=\frac{-8}{15}$
Now,
$\frac{4}{9} \times \frac{b}{a}=\frac{-8}{15}$
$\Rightarrow \frac{b}{a}=\frac{-8}{15} \times \frac{9}{4}$
$=\frac{-6}{5}$
$\Rightarrow \frac{a}{b}=\frac{5}{-6}$
$=\frac{-5}{6}$
Hence, the missing number is $\frac{-5}{6}$
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