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\frac{5}{13}+\frac{1}{4}
Reduce the fraction \frac{6}{24} to lowest terms by extracting and canceling out 6.
\frac{20}{52}+\frac{13}{52}
Least common multiple of 13 and 4 is 52. Convert \frac{5}{13} and \frac{1}{4} to fractions with denominator 52.
\frac{20+13}{52}
Since \frac{20}{52} and \frac{13}{52} have the same denominator, add them by adding their numerators.
\frac{33}{52}
Add 20 and 13 to get 33.