Solve 1/2,4/6,7/7,8/1,frac{14}{5}

$$\frac { 1 } { 2 } , \frac { 4 } { 6 } , \frac { 7 } { 7 } , \frac { 8 } { 1 } , \frac { 14 } { 5 }$$

Sort

$$\frac{1}{2},\frac{2}{3},1,\frac{14}{5},8$$

Solution Steps

Divide 7 by 7 to get 1.

$$sort(\frac{1}{2},\frac{4}{6},1,\frac{8}{1},\frac{14}{5})$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$sort(\frac{1}{2},\frac{2}{3},1,\frac{8}{1},\frac{14}{5})$$

Anything divided by one gives itself.

$$sort(\frac{1}{2},\frac{2}{3},1,8,\frac{14}{5})$$

Convert decimal numbers in the list \frac{1}{2},\frac{2}{3},1,8,\frac{14}{5} to fractions.

$$\frac{1}{2},\frac{2}{3},1,8,\frac{14}{5}$$

Least common denominator of the numbers in the list \frac{1}{2},\frac{2}{3},1,8,\frac{14}{5} is 30. Convert numbers in the list to fractions with denominator 30.

$$\frac{15}{30},\frac{20}{30},\frac{30}{30},\frac{240}{30},\frac{84}{30}$$

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

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

Insert \frac{20}{30} to the appropriate location in the new list.

$$\frac{15}{30},\frac{20}{30}$$

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

$$\frac{15}{30},\frac{20}{30},\frac{30}{30}$$

Insert \frac{240}{30} to the appropriate location in the new list.

$$\frac{15}{30},\frac{20}{30},\frac{30}{30},\frac{240}{30}$$

Insert \frac{84}{30} to the appropriate location in the new list.

$$\frac{15}{30},\frac{20}{30},\frac{30}{30},\frac{84}{30},\frac{240}{30}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{2},\frac{2}{3},1,\frac{14}{5},8$$

Evaluate

$$\frac{1}{2},\frac{2}{3},1,8,\frac{14}{5}$$