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\frac{18}{10}+\frac{5}{10}
Least common multiple of 5 and 2 is 10. Convert \frac{9}{5} and \frac{1}{2} to fractions with denominator 10.
\frac{18+5}{10}
Since \frac{18}{10} and \frac{5}{10} have the same denominator, add them by adding their numerators.
\frac{23}{10}
Add 18 and 5 to get 23.