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\frac{1\times 1}{2\times 3}+\frac{2}{3}
Multiply \frac{1}{2} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{6}+\frac{2}{3}
Do the multiplications in the fraction \frac{1\times 1}{2\times 3}.
\frac{1}{6}+\frac{4}{6}
Least common multiple of 6 and 3 is 6. Convert \frac{1}{6} and \frac{2}{3} to fractions with denominator 6.
\frac{1+4}{6}
Since \frac{1}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.
\frac{5}{6}
Add 1 and 4 to get 5.