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\frac{8}{504}+\frac{7}{504}
Least common multiple of 63 and 72 is 504. Convert \frac{1}{63} and \frac{1}{72} to fractions with denominator 504.
\frac{8+7}{504}
Since \frac{8}{504} and \frac{7}{504} have the same denominator, add them by adding their numerators.
\frac{15}{504}
Add 8 and 7 to get 15.
\frac{5}{168}
Reduce the fraction \frac{15}{504} to lowest terms by extracting and canceling out 3.