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\frac{605}{2178},\frac{306}{2178}
Least common denominator of the numbers in the list \frac{5}{18},\frac{17}{121} is 2178. Convert numbers in the list to fractions with denominator 2178.
\frac{605}{2178}
To sort the list, start from a single element \frac{605}{2178}.
\frac{306}{2178},\frac{605}{2178}
Insert \frac{306}{2178} to the appropriate location in the new list.
\frac{17}{121},\frac{5}{18}
Replace the obtained fractions with the initial values.