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\frac{65}{10}-\frac{16}{10}
Least common multiple of 2 and 5 is 10. Convert \frac{13}{2} and \frac{8}{5} to fractions with denominator 10.
\frac{65-16}{10}
Since \frac{65}{10} and \frac{16}{10} have the same denominator, subtract them by subtracting their numerators.
\frac{49}{10}
Subtract 16 from 65 to get 49.