By what number should $-\frac{33}{16}$ be divided to get $\frac{-11}{4}$?


To do:

We have to find the number that $\frac{-33}{16}$ should be divided by so that the result is $\frac{-11}{4}$.

Solution:

Let the number that $\frac{-33}{16}$ should be divided by so that the result is $\frac{-11}{4}$ be $x$.

This implies,

$\frac{-33}{16} \div x=\frac{-11}{4}$

$\frac{-33}{16} \times \frac{1}{x}=\frac{-11}{4}$

$x=\frac{-33\times4}{16\times(-11)}$

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

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

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Updated on: 10-Oct-2022

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