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\frac{\frac{1}{2}\times 40}{\frac{48}{80}}
Reduce the fraction \frac{15}{30} to lowest terms by extracting and canceling out 15.
\frac{\frac{40}{2}}{\frac{48}{80}}
Multiply \frac{1}{2} and 40 to get \frac{40}{2}.
\frac{20}{\frac{48}{80}}
Divide 40 by 2 to get 20.
\frac{20}{\frac{3}{5}}
Reduce the fraction \frac{48}{80} to lowest terms by extracting and canceling out 16.
20\times \frac{5}{3}
Divide 20 by \frac{3}{5} by multiplying 20 by the reciprocal of \frac{3}{5}.
\frac{20\times 5}{3}
Express 20\times \frac{5}{3} as a single fraction.
\frac{100}{3}
Multiply 20 and 5 to get 100.