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sort(45,5+30.6-\frac{4}{12})
Multiply 6.8 and 4.5 to get 30.6.
sort(45,35.6-\frac{4}{12})
Add 5 and 30.6 to get 35.6.
sort(45,35.6-\frac{1}{3})
Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.
sort(45,\frac{178}{5}-\frac{1}{3})
Convert decimal number 35.6 to fraction \frac{356}{10}. Reduce the fraction \frac{356}{10} to lowest terms by extracting and canceling out 2.
sort(45,\frac{534}{15}-\frac{5}{15})
Least common multiple of 5 and 3 is 15. Convert \frac{178}{5} and \frac{1}{3} to fractions with denominator 15.
sort(45,\frac{534-5}{15})
Since \frac{534}{15} and \frac{5}{15} have the same denominator, subtract them by subtracting their numerators.
sort(45,\frac{529}{15})
Subtract 5 from 534 to get 529.
45,\frac{529}{15}
Convert decimal numbers in the list 45,\frac{529}{15} to fractions.
45
To sort the list, start from a single element 45.
\frac{529}{15},45
Insert \frac{529}{15} to the appropriate location in the new list.