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\frac{x}{\frac{1}{8}}=\frac{1}{2}\times 5
Divide \frac{1}{2} by \frac{1}{5} by multiplying \frac{1}{2} by the reciprocal of \frac{1}{5}.
\frac{x}{\frac{1}{8}}=\frac{5}{2}
Multiply \frac{1}{2} and 5 to get \frac{5}{2}.
x=\frac{5}{2}\times \frac{1}{8}
Multiply both sides by \frac{1}{8}.
x=\frac{5\times 1}{2\times 8}
Multiply \frac{5}{2} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.
x=\frac{5}{16}
Do the multiplications in the fraction \frac{5\times 1}{2\times 8}.