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\frac{35}{42}+\frac{312}{42}
Least common multiple of 6 and 7 is 42. Convert \frac{5}{6} and \frac{52}{7} to fractions with denominator 42.
\frac{35+312}{42}
Since \frac{35}{42} and \frac{312}{42} have the same denominator, add them by adding their numerators.
\frac{347}{42}
Add 35 and 312 to get 347.