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z=\frac{1}{5}\times \frac{5}{4}
Multiply both sides by \frac{5}{4}, the reciprocal of \frac{4}{5}.
z=\frac{1\times 5}{5\times 4}
Multiply \frac{1}{5} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
z=\frac{1}{4}
Cancel out 5 in both numerator and denominator.