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\frac{17}{24}+\frac{4}{24}
Least common multiple of 24 and 6 is 24. Convert \frac{17}{24} and \frac{1}{6} to fractions with denominator 24.
\frac{17+4}{24}
Since \frac{17}{24} and \frac{4}{24} have the same denominator, add them by adding their numerators.
\frac{21}{24}
Add 17 and 4 to get 21.
\frac{7}{8}
Reduce the fraction \frac{21}{24} to lowest terms by extracting and canceling out 3.