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\frac{15}{10}+\frac{2}{10}+\frac{1}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{1}{5} to fractions with denominator 10.
\frac{15+2}{10}+\frac{1}{10}
Since \frac{15}{10} and \frac{2}{10} have the same denominator, add them by adding their numerators.
\frac{17}{10}+\frac{1}{10}
Add 15 and 2 to get 17.
\frac{17+1}{10}
Since \frac{17}{10} and \frac{1}{10} have the same denominator, add them by adding their numerators.
\frac{18}{10}
Add 17 and 1 to get 18.
\frac{9}{5}
Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.