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sort(6.1,\frac{0.72}{8})
Add 4.05 and 2.05 to get 6.1.
sort(6.1,\frac{72}{800})
Expand \frac{0.72}{8} by multiplying both numerator and the denominator by 100.
sort(6.1,\frac{9}{100})
Reduce the fraction \frac{72}{800} to lowest terms by extracting and canceling out 8.
\frac{61}{10},\frac{9}{100}
Convert decimal numbers in the list 6.1,\frac{9}{100} to fractions.
\frac{610}{100},\frac{9}{100}
Least common denominator of the numbers in the list \frac{61}{10},\frac{9}{100} is 100. Convert numbers in the list to fractions with denominator 100.
\frac{610}{100}
To sort the list, start from a single element \frac{610}{100}.
\frac{9}{100},\frac{610}{100}
Insert \frac{9}{100} to the appropriate location in the new list.
\frac{9}{100},6.1
Replace the obtained fractions with the initial values.