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\frac{65}{80}+\frac{52}{80}
Least common multiple of 16 and 20 is 80. Convert \frac{13}{16} and \frac{13}{20} to fractions with denominator 80.
\frac{65+52}{80}
Since \frac{65}{80} and \frac{52}{80} have the same denominator, add them by adding their numerators.
\frac{117}{80}
Add 65 and 52 to get 117.