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\frac{5\times 8}{8\times 15}+\frac{2}{3}
Multiply \frac{5}{8} times \frac{8}{15} by multiplying numerator times numerator and denominator times denominator.
\frac{5}{15}+\frac{2}{3}
Cancel out 8 in both numerator and denominator.
\frac{1}{3}+\frac{2}{3}
Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.
\frac{1+2}{3}
Since \frac{1}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.
\frac{3}{3}
Add 1 and 2 to get 3.
1
Divide 3 by 3 to get 1.