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\frac{10}{16}+\frac{5}{16}
Least common multiple of 8 and 16 is 16. Convert \frac{5}{8} and \frac{5}{16} to fractions with denominator 16.
\frac{10+5}{16}
Since \frac{10}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.
\frac{15}{16}
Add 10 and 5 to get 15.