Question
_______ $\times\big(\frac{-2}{5}\big)=1.$
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Answer
$\frac{-5}{2}\times\big(\frac{-2}{5}\big)=1.$ Solution: Let $\text{x}\times\big(\frac{-2}{5}\big)=1.$ $\Rightarrow\frac{-2\text{x}}{5}=1$ $\Rightarrow-2\text{x}=5$ $\Rightarrow\text{x}=\frac{-5}{2}$ Hence, $\frac{-5}{2}\times\big(\frac{-2}{5}\big)=1.$
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