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sort(83,\frac{12}{40})
Expand \frac{1.2}{4} by multiplying both numerator and the denominator by 10.
sort(83,\frac{3}{10})
Reduce the fraction \frac{12}{40} to lowest terms by extracting and canceling out 4.
83,\frac{3}{10}
Convert decimal numbers in the list 83,\frac{3}{10} to fractions.
83
To sort the list, start from a single element 83.
\frac{3}{10},83
Insert \frac{3}{10} to the appropriate location in the new list.