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\frac{5}{80}+\frac{8}{80}
Least common multiple of 16 and 10 is 80. Convert \frac{1}{16} and \frac{1}{10} to fractions with denominator 80.
\frac{5+8}{80}
Since \frac{5}{80} and \frac{8}{80} have the same denominator, add them by adding their numerators.
\frac{13}{80}
Add 5 and 8 to get 13.