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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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