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\frac{1}{2}\times \frac{2\times 5}{5+3}
Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.
\frac{1}{2}\times \frac{10}{5+3}
Multiply 2 and 5 to get 10.
\frac{1}{2}\times \frac{10}{8}
Add 5 and 3 to get 8.
\frac{1}{2}\times \frac{5}{4}
Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.
\frac{1\times 5}{2\times 4}
Multiply \frac{1}{2} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{8}
Do the multiplications in the fraction \frac{1\times 5}{2\times 4}.