Question

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

• A. - 2
• B. $\frac{5}{7}$
• C. $\frac{12}{7}$
• D. -4

Answer 1

The correct option is D

-4

Let the rational number be $x$.

$\frac{22}{7}÷x$ = $\frac{-11}{14}$ (given)

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

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

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

$\Rightarrow x=-4$

Therefore, $\frac{22}{7}$ should be divided by -4 to get $\frac{-11}{14}$.