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\frac{4}{5}+\frac{1\times 2}{5\times 3}
Multiply \frac{1}{5} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{4}{5}+\frac{2}{15}
Do the multiplications in the fraction \frac{1\times 2}{5\times 3}.
\frac{12}{15}+\frac{2}{15}
Least common multiple of 5 and 15 is 15. Convert \frac{4}{5} and \frac{2}{15} to fractions with denominator 15.
\frac{12+2}{15}
Since \frac{12}{15} and \frac{2}{15} have the same denominator, add them by adding their numerators.
\frac{14}{15}
Add 12 and 2 to get 14.