Question

By what number should $\frac{-33}{8}$ be divided to get $\frac{-11}{2}$?

• A. $\frac{4}{3}$
• B. $\frac{-3}{4}$
• C. $\frac{3}{4}$
• D. $\frac{-4}{3}$

Answer 1

The correct option is C $\frac{3}{4}$

On dividing$\frac{-33}{8}$ by a number, we get $\frac{-11}{2}$.

Let the required number be $x$.

$\therefore$ $\frac{-33}{8}÷x=\frac{-11}{2}$

$\Rightarrow$ $\frac{-33}{8}=x\times \frac{-11}{2}$

$\Rightarrow$ $\frac{-33}{8}÷\frac{-11}{2}=x$

$\Rightarrow$ $x=\frac{-33}{8}\times \frac{-2}{11}$

$\Rightarrow$ $x=\frac{3}{4}$

Hence, the required number is $\frac{3}{4}$.