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\frac{3\times 1}{4\times 15}+\frac{3}{8}
Multiply \frac{3}{4} times \frac{1}{15} by multiplying numerator times numerator and denominator times denominator.
\frac{3}{60}+\frac{3}{8}
Do the multiplications in the fraction \frac{3\times 1}{4\times 15}.
\frac{1}{20}+\frac{3}{8}
Reduce the fraction \frac{3}{60} to lowest terms by extracting and canceling out 3.
\frac{2}{40}+\frac{15}{40}
Least common multiple of 20 and 8 is 40. Convert \frac{1}{20} and \frac{3}{8} to fractions with denominator 40.
\frac{2+15}{40}
Since \frac{2}{40} and \frac{15}{40} have the same denominator, add them by adding their numerators.
\frac{17}{40}
Add 2 and 15 to get 17.