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8+\frac{4}{3}\times \frac{1}{2}
Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.
8+\frac{4\times 1}{3\times 2}
Multiply \frac{4}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.
8+\frac{4}{6}
Do the multiplications in the fraction \frac{4\times 1}{3\times 2}.
8+\frac{2}{3}
Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.
\frac{24}{3}+\frac{2}{3}
Convert 8 to fraction \frac{24}{3}.
\frac{24+2}{3}
Since \frac{24}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
\frac{26}{3}
Add 24 and 2 to get 26.