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sort(\frac{21+3}{7},\frac{1\times 7+5}{7})
Multiply 3 and 7 to get 21.
sort(\frac{24}{7},\frac{1\times 7+5}{7})
Add 21 and 3 to get 24.
sort(\frac{24}{7},\frac{7+5}{7})
Multiply 1 and 7 to get 7.
sort(\frac{24}{7},\frac{12}{7})
Add 7 and 5 to get 12.
\frac{24}{7}
To sort the list, start from a single element \frac{24}{7}.
\frac{12}{7},\frac{24}{7}
Insert \frac{12}{7} to the appropriate location in the new list.