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\frac{11}{48}-\frac{9}{48}+\frac{11}{48}
Least common multiple of 48 and 16 is 48. Convert \frac{11}{48} and \frac{3}{16} to fractions with denominator 48.
\frac{11-9}{48}+\frac{11}{48}
Since \frac{11}{48} and \frac{9}{48} have the same denominator, subtract them by subtracting their numerators.
\frac{2}{48}+\frac{11}{48}
Subtract 9 from 11 to get 2.
\frac{2+11}{48}
Since \frac{2}{48} and \frac{11}{48} have the same denominator, add them by adding their numerators.
\frac{13}{48}
Add 2 and 11 to get 13.