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\frac{30}{48}+\frac{11}{48}
Least common multiple of 8 and 48 is 48. Convert \frac{5}{8} and \frac{11}{48} to fractions with denominator 48.
\frac{30+11}{48}
Since \frac{30}{48} and \frac{11}{48} have the same denominator, add them by adding their numerators.
\frac{41}{48}
Add 30 and 11 to get 41.