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\frac{1}{2}+\frac{5}{16}
Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.
\frac{8}{16}+\frac{5}{16}
Least common multiple of 2 and 16 is 16. Convert \frac{1}{2} and \frac{5}{16} to fractions with denominator 16.
\frac{8+5}{16}
Since \frac{8}{16} and \frac{5}{16} have the same denominator, add them by adding their numerators.
\frac{13}{16}
Add 8 and 5 to get 13.