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\frac{575}{300},\frac{345}{300},\frac{138}{300},\frac{1150}{300},\frac{690}{300}
Least common denominator of the numbers in the list \frac{23}{12},\frac{23}{20},\frac{23}{50},\frac{23}{6},\frac{23}{10} is 300. Convert numbers in the list to fractions with denominator 300.
\frac{575}{300}
To sort the list, start from a single element \frac{575}{300}.
\frac{345}{300},\frac{575}{300}
Insert \frac{345}{300} to the appropriate location in the new list.
\frac{138}{300},\frac{345}{300},\frac{575}{300}
Insert \frac{138}{300} to the appropriate location in the new list.
\frac{138}{300},\frac{345}{300},\frac{575}{300},\frac{1150}{300}
Insert \frac{1150}{300} to the appropriate location in the new list.
\frac{138}{300},\frac{345}{300},\frac{575}{300},\frac{690}{300},\frac{1150}{300}
Insert \frac{690}{300} to the appropriate location in the new list.
\frac{23}{50},\frac{23}{20},\frac{23}{12},\frac{23}{10},\frac{23}{6}
Replace the obtained fractions with the initial values.