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\frac{1}{4}+\frac{8}{13}
Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.
\frac{13}{52}+\frac{32}{52}
Least common multiple of 4 and 13 is 52. Convert \frac{1}{4} and \frac{8}{13} to fractions with denominator 52.
\frac{13+32}{52}
Since \frac{13}{52} and \frac{32}{52} have the same denominator, add them by adding their numerators.
\frac{45}{52}
Add 13 and 32 to get 45.