By what number should

Question:

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

Solution:

Let the number be $\mathrm{x}$.

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

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

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

or $\frac{1}{\mathrm{x}}=\frac{4}{3}$

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

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

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