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sort(15+5,9-\frac{74}{40})
Multiply 3 and 5 to get 15.
sort(20,9-\frac{74}{40})
Add 15 and 5 to get 20.
sort(20,9-\frac{37}{20})
Reduce the fraction \frac{74}{40} to lowest terms by extracting and canceling out 2.
sort(20,\frac{180}{20}-\frac{37}{20})
Convert 9 to fraction \frac{180}{20}.
sort(20,\frac{180-37}{20})
Since \frac{180}{20} and \frac{37}{20} have the same denominator, subtract them by subtracting their numerators.
sort(20,\frac{143}{20})
Subtract 37 from 180 to get 143.
20,\frac{143}{20}
Convert decimal numbers in the list 20,\frac{143}{20} to fractions.
20
To sort the list, start from a single element 20.
\frac{143}{20},20
Insert \frac{143}{20} to the appropriate location in the new list.