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\frac{15}{10}+\frac{7}{10}
Least common multiple of 2 and 10 is 10. Convert \frac{3}{2} and \frac{7}{10} to fractions with denominator 10.
\frac{15+7}{10}
Since \frac{15}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.
\frac{22}{10}
Add 15 and 7 to get 22.
\frac{11}{5}
Reduce the fraction \frac{22}{10} to lowest terms by extracting and canceling out 2.