Solve 6/8,1/2,4/6

$$6 / 8,1 / 2,4 / 6$$

Sort

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

Solution Steps

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$sort(\frac{3}{4},\frac{1}{2},\frac{4}{6})$$

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

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

Least common denominator of the numbers in the list \frac{3}{4},\frac{1}{2},\frac{2}{3} is 12. Convert numbers in the list to fractions with denominator 12.

$$\frac{9}{12},\frac{6}{12},\frac{8}{12}$$

To sort the list, start from a single element \frac{9}{12}.

$$\frac{9}{12}$$

Insert \frac{6}{12} to the appropriate location in the new list.

$$\frac{6}{12},\frac{9}{12}$$

Insert \frac{8}{12} to the appropriate location in the new list.

$$\frac{6}{12},\frac{8}{12},\frac{9}{12}$$

Replace the obtained fractions with the initial values.

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

Evaluate

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