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\frac{14}{10}+\frac{15}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{7}{5} and \frac{3}{2} to fractions with denominator 10.
\frac{14+15}{10}
Since \frac{14}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.
\frac{29}{10}
Add 14 and 15 to get 29.