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\frac{7}{5}+\frac{1}{2}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{14}{10}+\frac{5}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{7}{5} and \frac{1}{2} to fractions with denominator 10.
\frac{14+5}{10}
Since \frac{14}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.
\frac{19}{10}
Add 14 and 5 to get 19.