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\frac{2}{48}+\frac{3}{48}
Least common multiple of 24 and 16 is 48. Convert \frac{1}{24} and \frac{1}{16} to fractions with denominator 48.
\frac{2+3}{48}
Since \frac{2}{48} and \frac{3}{48} have the same denominator, add them by adding their numerators.
\frac{5}{48}
Add 2 and 3 to get 5.