Question
What should be divided by $\frac{-1}{2}$ to obtain the greatest negative integer$?$

Answer

Let the number be $x.$
We know that, greatest negative integer of is $-1$ According to the question,
$\frac{1}{2}\div\text{x}=-1$
$\Rightarrow\frac{1}{2}\times\frac{1}{\text{x}}=-1$
$\Rightarrow\frac{1}{\text{x}}=-1\times\frac{2}{1}$
$\frac{1}{\text{x}}=\frac{-2}{1}$
$\Rightarrow\text{x}=\frac{-1}{2}$
Hence, the required number is $\frac{-1}{2}.$

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