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sort(\frac{912+7}{38}-\frac{17\times 38+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Multiply 24 and 38 to get 912.
sort(\frac{919}{38}-\frac{17\times 38+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Add 912 and 7 to get 919.
sort(\frac{919}{38}-\frac{646+1}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Multiply 17 and 38 to get 646.
sort(\frac{919}{38}-\frac{647}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Add 646 and 1 to get 647.
sort(\frac{919-647}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Since \frac{919}{38} and \frac{647}{38} have the same denominator, subtract them by subtracting their numerators.
sort(\frac{272}{38},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Subtract 647 from 919 to get 272.
sort(\frac{136}{19},\frac{15\times 10+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Reduce the fraction \frac{272}{38} to lowest terms by extracting and canceling out 2.
sort(\frac{136}{19},\frac{150+7}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Multiply 15 and 10 to get 150.
sort(\frac{136}{19},\frac{157}{10}-\frac{2\times 10+4}{10}+\frac{6\times 10+1}{10})
Add 150 and 7 to get 157.
sort(\frac{136}{19},\frac{157}{10}-\frac{20+4}{10}+\frac{6\times 10+1}{10})
Multiply 2 and 10 to get 20.
sort(\frac{136}{19},\frac{157}{10}-\frac{24}{10}+\frac{6\times 10+1}{10})
Add 20 and 4 to get 24.
sort(\frac{136}{19},\frac{157-24}{10}+\frac{6\times 10+1}{10})
Since \frac{157}{10} and \frac{24}{10} have the same denominator, subtract them by subtracting their numerators.
sort(\frac{136}{19},\frac{133}{10}+\frac{6\times 10+1}{10})
Subtract 24 from 157 to get 133.
sort(\frac{136}{19},\frac{133}{10}+\frac{60+1}{10})
Multiply 6 and 10 to get 60.
sort(\frac{136}{19},\frac{133}{10}+\frac{61}{10})
Add 60 and 1 to get 61.
sort(\frac{136}{19},\frac{133+61}{10})
Since \frac{133}{10} and \frac{61}{10} have the same denominator, add them by adding their numerators.
sort(\frac{136}{19},\frac{194}{10})
Add 133 and 61 to get 194.
sort(\frac{136}{19},\frac{97}{5})
Reduce the fraction \frac{194}{10} to lowest terms by extracting and canceling out 2.
\frac{680}{95},\frac{1843}{95}
Least common denominator of the numbers in the list \frac{136}{19},\frac{97}{5} is 95. Convert numbers in the list to fractions with denominator 95.