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\frac{24}{120}+\frac{5}{120}
Least common multiple of 5 and 24 is 120. Convert \frac{1}{5} and \frac{1}{24} to fractions with denominator 120.
\frac{24+5}{120}
Since \frac{24}{120} and \frac{5}{120} have the same denominator, add them by adding their numerators.
\frac{29}{120}
Add 24 and 5 to get 29.