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5\times \frac{1\times 3+2}{3\times 5}
Express \frac{\frac{1\times 3+2}{3}}{5} as a single fraction.
5\times \frac{3+2}{3\times 5}
Multiply 1 and 3 to get 3.
5\times \frac{5}{3\times 5}
Add 3 and 2 to get 5.
5\times \frac{5}{15}
Multiply 3 and 5 to get 15.
5\times \frac{1}{3}
Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.
\frac{5}{3}
Multiply 5 and \frac{1}{3} to get \frac{5}{3}.