Solve 30.1,12,3,1/4,5,1/6

$$30.1,12,3 , \frac { 1 } { 4 } , 5,1 / 6$$

Sort

$$0.25,0.85,3,12,30.1$$

Solution Steps

Expand \frac{5.1}{6} by multiplying both numerator and the denominator by 10.

$$sort(30.1,12,3,\frac{1}{4},\frac{51}{60})$$

Reduce the fraction \frac{51}{60} to lowest terms by extracting and canceling out 3.

$$sort(30.1,12,3,\frac{1}{4},\frac{17}{20})$$

Convert decimal numbers in the list 30.1,12,3,\frac{1}{4},\frac{17}{20} to fractions.

$$\frac{301}{10},12,3,\frac{1}{4},\frac{17}{20}$$

Least common denominator of the numbers in the list \frac{301}{10},12,3,\frac{1}{4},\frac{17}{20} is 20. Convert numbers in the list to fractions with denominator 20.

$$\frac{602}{20},\frac{240}{20},\frac{60}{20},\frac{5}{20},\frac{17}{20}$$

To sort the list, start from a single element \frac{602}{20}.

$$\frac{602}{20}$$

Insert \frac{240}{20} to the appropriate location in the new list.

$$\frac{240}{20},\frac{602}{20}$$

Insert \frac{60}{20} to the appropriate location in the new list.

$$\frac{60}{20},\frac{240}{20},\frac{602}{20}$$

Insert \frac{5}{20} to the appropriate location in the new list.

$$\frac{5}{20},\frac{60}{20},\frac{240}{20},\frac{602}{20}$$

Insert \frac{17}{20} to the appropriate location in the new list.

$$\frac{5}{20},\frac{17}{20},\frac{60}{20},\frac{240}{20},\frac{602}{20}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{4},\frac{17}{20},3,12,30.1$$

Evaluate

$$30.1,12,3,0.25,0.85$$