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\frac{10+2}{5}\times \frac{2}{3}
Multiply 2 and 5 to get 10.
\frac{12}{5}\times \frac{2}{3}
Add 10 and 2 to get 12.
\frac{12\times 2}{5\times 3}
Multiply \frac{12}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{24}{15}
Do the multiplications in the fraction \frac{12\times 2}{5\times 3}.
\frac{8}{5}
Reduce the fraction \frac{24}{15} to lowest terms by extracting and canceling out 3.