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\frac{8}{26}+\frac{13}{26}
Least common multiple of 13 and 2 is 26. Convert \frac{4}{13} and \frac{1}{2} to fractions with denominator 26.
\frac{8+13}{26}
Since \frac{8}{26} and \frac{13}{26} have the same denominator, add them by adding their numerators.
\frac{21}{26}
Add 8 and 13 to get 21.