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\frac{1}{2},\frac{1}{20},\frac{5}{8}
Convert decimal numbers in the list 0.5,0.05,\frac{5}{8} to fractions.
\frac{20}{40},\frac{2}{40},\frac{25}{40}
Least common denominator of the numbers in the list \frac{1}{2},\frac{1}{20},\frac{5}{8} is 40. Convert numbers in the list to fractions with denominator 40.
\frac{20}{40}
To sort the list, start from a single element \frac{20}{40}.
\frac{2}{40},\frac{20}{40}
Insert \frac{2}{40} to the appropriate location in the new list.
\frac{2}{40},\frac{20}{40},\frac{25}{40}
Insert \frac{25}{40} to the appropriate location in the new list.
0.05,0.5,\frac{5}{8}
Replace the obtained fractions with the initial values.