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\frac{1}{10}+\frac{3}{5}\times \frac{3}{1}
Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.
\frac{1}{10}+\frac{3}{5}\times 3
Anything divided by one gives itself.
\frac{1}{10}+\frac{3\times 3}{5}
Express \frac{3}{5}\times 3 as a single fraction.
\frac{1}{10}+\frac{9}{5}
Multiply 3 and 3 to get 9.
\frac{1}{10}+\frac{18}{10}
Least common multiple of 10 and 5 is 10. Convert \frac{1}{10} and \frac{9}{5} to fractions with denominator 10.
\frac{1+18}{10}
Since \frac{1}{10} and \frac{18}{10} have the same denominator, add them by adding their numerators.
\frac{19}{10}
Add 1 and 18 to get 19.