MCQ
Tick $(\checkmark)$ the correct answer the following: $\frac{4}{9}\div\ ?=\frac{-8}{15}$
- A$\frac{-32}{45}$
- B$\frac{-8}{5}$
- C$\frac{-9}{10}$
- ✓$\frac{-5}{6}$
✓
Answer
Correct option: D.
$\frac{-5}{6}$
Let $x$ is required rational
$\therefore\frac{4}{9}\div\text{x}=\frac{-8}{15}$
$\Rightarrow\frac{4}{9}\times\frac{1}{\text{x}}=\frac{-8}{15}$
$\Rightarrow\frac{1}{\text{x}}=\frac{-8}{15}\times\frac{9}{4}$
$=\frac{-72}{60}$
$=\frac{-72\div12}{60\div12}$
$=\frac{-6}{5}$
$\therefore\text{x}=\frac{-5}{6}$
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