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\frac{1}{42}+\frac{7}{42}
Least common multiple of 42 and 6 is 42. Convert \frac{1}{42} and \frac{1}{6} to fractions with denominator 42.
\frac{1+7}{42}
Since \frac{1}{42} and \frac{7}{42} have the same denominator, add them by adding their numerators.
\frac{8}{42}
Add 1 and 7 to get 8.
\frac{4}{21}
Reduce the fraction \frac{8}{42} to lowest terms by extracting and canceling out 2.