Question

By what rational number should we multiply $\frac{-7}{11}$ to get the product as $\frac{28}{33}$?

• A. $\frac{-3}{4}$
• B. $\frac{-4}{3}$
• C. $\frac{-196}{363}$
• D. $\frac{363}{-196}$

Answer 1

Answer: (B)

$\frac{-4}{3}$

Let $x$ be the required rational no.

Therefore,

$\frac{-7}{11}\times x=\frac{28}{33}$

$\Rightarrow x=\frac{28}{33}\times (-\frac{11}{7})$

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