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\frac{8}{126}+\frac{15}{126}
Least common multiple of 63 and 42 is 126. Convert \frac{4}{63} and \frac{5}{42} to fractions with denominator 126.
\frac{8+15}{126}
Since \frac{8}{126} and \frac{15}{126} have the same denominator, add them by adding their numerators.
\frac{23}{126}
Add 8 and 15 to get 23.