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\frac{24}{42}+\frac{7}{42}
Least common multiple of 7 and 6 is 42. Convert \frac{4}{7} and \frac{1}{6} to fractions with denominator 42.
\frac{24+7}{42}
Since \frac{24}{42} and \frac{7}{42} have the same denominator, add them by adding their numerators.
\frac{31}{42}
Add 24 and 7 to get 31.