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\frac{3}{48}+\frac{14}{48}
Least common multiple of 16 and 24 is 48. Convert \frac{1}{16} and \frac{7}{24} to fractions with denominator 48.
\frac{3+14}{48}
Since \frac{3}{48} and \frac{14}{48} have the same denominator, add them by adding their numerators.
\frac{17}{48}
Add 3 and 14 to get 17.