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\frac{3+2}{3}\times \frac{2\times 5+3}{5}
Multiply 1 and 3 to get 3.
\frac{5}{3}\times \frac{2\times 5+3}{5}
Add 3 and 2 to get 5.
\frac{5}{3}\times \frac{10+3}{5}
Multiply 2 and 5 to get 10.
\frac{5}{3}\times \frac{13}{5}
Add 10 and 3 to get 13.
\frac{5\times 13}{3\times 5}
Multiply \frac{5}{3} times \frac{13}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{13}{3}
Cancel out 5 in both numerator and denominator.