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\frac{50}{30},\frac{39}{30}
Least common denominator of the numbers in the list \frac{5}{3},\frac{13}{10} is 30. Convert numbers in the list to fractions with denominator 30.
\frac{50}{30}
To sort the list, start from a single element \frac{50}{30}.
\frac{39}{30},\frac{50}{30}
Insert \frac{39}{30} to the appropriate location in the new list.
\frac{13}{10},\frac{5}{3}
Replace the obtained fractions with the initial values.