Solve 4/8,4/1,4/3,4/5

$$\frac { 4 } { 8 } , \frac { 4 } { 1 } , \frac { 4 } { 3 } , \frac { 4 } { 5 }$$

Sort

$$\frac{1}{2},\frac{4}{5},\frac{4}{3},4$$

Solution Steps

Reduce the fraction \frac{4}{8} to lowest terms by extracting and canceling out 4.

$$sort(\frac{1}{2},\frac{4}{1},\frac{4}{3},\frac{4}{5})$$

Anything divided by one gives itself.

$$sort(\frac{1}{2},4,\frac{4}{3},\frac{4}{5})$$

Convert decimal numbers in the list \frac{1}{2},4,\frac{4}{3},\frac{4}{5} to fractions.

$$\frac{1}{2},4,\frac{4}{3},\frac{4}{5}$$

Least common denominator of the numbers in the list \frac{1}{2},4,\frac{4}{3},\frac{4}{5} is 30. Convert numbers in the list to fractions with denominator 30.

$$\frac{15}{30},\frac{120}{30},\frac{40}{30},\frac{24}{30}$$

To sort the list, start from a single element \frac{15}{30}.

$$\frac{15}{30}$$

Insert \frac{120}{30} to the appropriate location in the new list.

$$\frac{15}{30},\frac{120}{30}$$

Insert \frac{40}{30} to the appropriate location in the new list.

$$\frac{15}{30},\frac{40}{30},\frac{120}{30}$$

Insert \frac{24}{30} to the appropriate location in the new list.

$$\frac{15}{30},\frac{24}{30},\frac{40}{30},\frac{120}{30}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{2},\frac{4}{5},\frac{4}{3},4$$

Evaluate

$$\frac{1}{2},4,\frac{4}{3},\frac{4}{5}$$