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\frac{3+1}{3}\times \frac{5\times 5+2}{5}\times \frac{1}{10}
Multiply 1 and 3 to get 3.
\frac{4}{3}\times \frac{5\times 5+2}{5}\times \frac{1}{10}
Add 3 and 1 to get 4.
\frac{4}{3}\times \frac{25+2}{5}\times \frac{1}{10}
Multiply 5 and 5 to get 25.
\frac{4}{3}\times \frac{27}{5}\times \frac{1}{10}
Add 25 and 2 to get 27.
\frac{4\times 27}{3\times 5}\times \frac{1}{10}
Multiply \frac{4}{3} times \frac{27}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{108}{15}\times \frac{1}{10}
Do the multiplications in the fraction \frac{4\times 27}{3\times 5}.
\frac{36}{5}\times \frac{1}{10}
Reduce the fraction \frac{108}{15} to lowest terms by extracting and canceling out 3.
\frac{36\times 1}{5\times 10}
Multiply \frac{36}{5} times \frac{1}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{36}{50}
Do the multiplications in the fraction \frac{36\times 1}{5\times 10}.
\frac{18}{25}
Reduce the fraction \frac{36}{50} to lowest terms by extracting and canceling out 2.