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\frac{1}{5}\times 2+\frac{3}{10}
Divide \frac{1}{5} by \frac{1}{2} by multiplying \frac{1}{5} by the reciprocal of \frac{1}{2}.
\frac{2}{5}+\frac{3}{10}
Multiply \frac{1}{5} and 2 to get \frac{2}{5}.
\frac{4}{10}+\frac{3}{10}
Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{3}{10} to fractions with denominator 10.
\frac{4+3}{10}
Since \frac{4}{10} and \frac{3}{10} have the same denominator, add them by adding their numerators.
\frac{7}{10}
Add 4 and 3 to get 7.