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-\frac{4}{\frac{4\left(-1\right)}{5}}
Express 4\left(-\frac{1}{5}\right) as a single fraction.
-\frac{4}{\frac{-4}{5}}
Multiply 4 and -1 to get -4.
-\frac{4}{-\frac{4}{5}}
Fraction \frac{-4}{5} can be rewritten as -\frac{4}{5} by extracting the negative sign.
-4\left(-\frac{5}{4}\right)
Divide 4 by -\frac{4}{5} by multiplying 4 by the reciprocal of -\frac{4}{5}.
-\left(-5\right)
Cancel out 4 and 4.
5
The opposite of -5 is 5.