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\frac{3\times 3}{5\times 10}+\frac{1}{2}
Multiply \frac{3}{5} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.
\frac{9}{50}+\frac{1}{2}
Do the multiplications in the fraction \frac{3\times 3}{5\times 10}.
\frac{9}{50}+\frac{25}{50}
Least common multiple of 50 and 2 is 50. Convert \frac{9}{50} and \frac{1}{2} to fractions with denominator 50.
\frac{9+25}{50}
Since \frac{9}{50} and \frac{25}{50} have the same denominator, add them by adding their numerators.
\frac{34}{50}
Add 9 and 25 to get 34.
\frac{17}{25}
Reduce the fraction \frac{34}{50} to lowest terms by extracting and canceling out 2.