Question

By what rational number should we divide $\frac{22}{7}$ so as to get the number $\frac{-11}{14}?$

• A. - 2
• B. 5/7
• C. 12/7
• D. -4

Answer 1

The correct option is D

-4

Let the rational number be $x$.

$\frac{\frac{22}{7}}{x}=\frac{-11}{14}$

$\Rightarrow \frac{22}{7}=x\times \frac{-11}{14}$

$\Rightarrow \frac{\frac{22}{7}}{\frac{-11}{14}}=x$

$\Rightarrow \frac{22}{7}\times \frac{14}{-11}=x$

$\Rightarrow x=-4$