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

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Let \(\frac{-33}{8}\) be divided by x to get \(\frac{-11}{2}\)

It can be written as,

\(\frac{-33}{8}\div\text{x}=\frac{-11}{2}\)

\(\Rightarrow\) \(\text{x}=\frac{-33}{8}\div\frac{-11}{2}\)

\(\Rightarrow\) \(\text{x}=\frac{-33}{8}\times\frac{2}{-11}\)

\(\Rightarrow\) \(\text{x}=\frac{-33\times2}{8\times-11}\)

\(\Rightarrow\) \(\text{x}=\frac{-66}{-88}=\frac{-66\times-1}{-88\times-1}=\frac{66}{88}\)

\(\Rightarrow \) \(\text{x}=\frac{66}{88}=\frac{66\div22}{88\div22}=\frac{3}{4}\)

Hence, it should be multiplied by is \(\frac{3}{4}\)

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