Solve 1-1/2,1/3

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

Sort

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

Solution Steps

Convert 1 to fraction \frac{2}{2}.

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

Since \frac{2}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 2 to get 1.

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

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

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

To sort the list, start from a single element \frac{3}{6}.

$$\frac{3}{6}$$

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

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

Replace the obtained fractions with the initial values.

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

Evaluate

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