Question

By what rational number should $\frac{-8}{39}$ be multiplied to obtain 26 ?

• A. $\frac{507}{4}$
• B. $\frac{-507}{4}$
• C. $\frac{407}{4}$
• D. None of these

Answer 1

The correct option is B $\frac{-507}{4}$

Let the required number $=x$.

Then $\frac{-8}{39}\times x=26$

$⟹x=26\times \frac{-39}{8}=\frac{-507}{8}$.

So the given number should be multiplied by $\frac{-507}{8}$ to get 26.

Ans- Option B.