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\frac{14}{10}+\frac{9}{10}
Least common multiple of 5 and 10 is 10. Convert \frac{7}{5} and \frac{9}{10} to fractions with denominator 10.
\frac{14+9}{10}
Since \frac{14}{10} and \frac{9}{10} have the same denominator, add them by adding their numerators.
\frac{23}{10}
Add 14 and 9 to get 23.