Solve 1/3,1/2,2/5

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

Sort

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

Solution Steps

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

$$\frac{10}{30},\frac{15}{30},\frac{12}{30}$$

To sort the list, start from a single element \frac{10}{30}.

$$\frac{10}{30}$$

Insert \frac{15}{30} to the appropriate location in the new list.

$$\frac{10}{30},\frac{15}{30}$$

Insert \frac{12}{30} to the appropriate location in the new list.

$$\frac{10}{30},\frac{12}{30},\frac{15}{30}$$

Replace the obtained fractions with the initial values.

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

Evaluate

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