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-\frac{1}{2}\times \frac{5}{2}
Divide -\frac{1}{2} by \frac{2}{5} by multiplying -\frac{1}{2} by the reciprocal of \frac{2}{5}.
\frac{-5}{2\times 2}
Multiply -\frac{1}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.
\frac{-5}{4}
Do the multiplications in the fraction \frac{-5}{2\times 2}.
-\frac{5}{4}
Fraction \frac{-5}{4} can be rewritten as -\frac{5}{4} by extracting the negative sign.