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\frac{1\times 2}{2\times 5}\times \frac{1}{3}
Multiply \frac{1}{2} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{5}\times \frac{1}{3}
Cancel out 2 in both numerator and denominator.
\frac{1\times 1}{5\times 3}
Multiply \frac{1}{5} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.
\frac{1}{15}
Do the multiplications in the fraction \frac{1\times 1}{5\times 3}.