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sort(0.3,45\times \frac{1}{100000})
Calculate 10 to the power of -5 and get \frac{1}{100000}.
sort(0.3,\frac{9}{20000})
Multiply 45 and \frac{1}{100000} to get \frac{9}{20000}.
\frac{3}{10},\frac{9}{20000}
Convert decimal numbers in the list 0.3,\frac{9}{20000} to fractions.
\frac{6000}{20000},\frac{9}{20000}
Least common denominator of the numbers in the list \frac{3}{10},\frac{9}{20000} is 20000. Convert numbers in the list to fractions with denominator 20000.
\frac{6000}{20000}
To sort the list, start from a single element \frac{6000}{20000}.
\frac{9}{20000},\frac{6000}{20000}
Insert \frac{9}{20000} to the appropriate location in the new list.
\frac{9}{20000},0.3
Replace the obtained fractions with the initial values.