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\frac{35}{42}+\frac{12}{42}
Least common multiple of 6 and 7 is 42. Convert \frac{5}{6} and \frac{2}{7} to fractions with denominator 42.
\frac{35+12}{42}
Since \frac{35}{42} and \frac{12}{42} have the same denominator, add them by adding their numerators.
\frac{47}{42}
Add 35 and 12 to get 47.