Solve 5/6,2/3,1/2,1/3

$$\frac { 5 } { 6 } , \frac { 2 } { 3 } , \frac { 1 } { 2 } , \frac { 1 } { 3 }$$

Sort

$$\frac{1}{3},\frac{1}{2},\frac{2}{3},\frac{5}{6}$$

Solution Steps

Least common denominator of the numbers in the list \frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3} is 6. Convert numbers in the list to fractions with denominator 6.

$$\frac{5}{6},\frac{4}{6},\frac{3}{6},\frac{2}{6}$$

To sort the list, start from a single element \frac{5}{6}.

$$\frac{5}{6}$$

Insert \frac{4}{6} to the appropriate location in the new list.

$$\frac{4}{6},\frac{5}{6}$$

Insert \frac{3}{6} to the appropriate location in the new list.

$$\frac{3}{6},\frac{4}{6},\frac{5}{6}$$

Insert \frac{2}{6} to the appropriate location in the new list.

$$\frac{2}{6},\frac{3}{6},\frac{4}{6},\frac{5}{6}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{3},\frac{1}{2},\frac{2}{3},\frac{5}{6}$$

Evaluate

$$\frac{5}{6},\frac{2}{3},\frac{1}{2},\frac{1}{3}$$