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\frac{171}{504}-\frac{7}{504}-\frac{10}{84}+\frac{8}{63}
Least common multiple of 56 and 72 is 504. Convert \frac{19}{56} and \frac{1}{72} to fractions with denominator 504.
\frac{171-7}{504}-\frac{10}{84}+\frac{8}{63}
Since \frac{171}{504} and \frac{7}{504} have the same denominator, subtract them by subtracting their numerators.
\frac{164}{504}-\frac{10}{84}+\frac{8}{63}
Subtract 7 from 171 to get 164.
\frac{41}{126}-\frac{10}{84}+\frac{8}{63}
Reduce the fraction \frac{164}{504} to lowest terms by extracting and canceling out 4.
\frac{41}{126}-\frac{5}{42}+\frac{8}{63}
Reduce the fraction \frac{10}{84} to lowest terms by extracting and canceling out 2.
\frac{41}{126}-\frac{15}{126}+\frac{8}{63}
Least common multiple of 126 and 42 is 126. Convert \frac{41}{126} and \frac{5}{42} to fractions with denominator 126.
\frac{41-15}{126}+\frac{8}{63}
Since \frac{41}{126} and \frac{15}{126} have the same denominator, subtract them by subtracting their numerators.
\frac{26}{126}+\frac{8}{63}
Subtract 15 from 41 to get 26.
\frac{13}{63}+\frac{8}{63}
Reduce the fraction \frac{26}{126} to lowest terms by extracting and canceling out 2.
\frac{13+8}{63}
Since \frac{13}{63} and \frac{8}{63} have the same denominator, add them by adding their numerators.
\frac{21}{63}
Add 13 and 8 to get 21.
\frac{1}{3}
Reduce the fraction \frac{21}{63} to lowest terms by extracting and canceling out 21.