Solve 2/3,3/5,5/7

$$\frac { 2 } { 3 } , \frac { 3 } { 5 } , \frac { 5 } { 7 }$$

Sort

$$\frac{3}{5},\frac{2}{3},\frac{5}{7}$$

Solution Steps

Least common denominator of the numbers in the list \frac{2}{3},\frac{3}{5},\frac{5}{7} is 105. Convert numbers in the list to fractions with denominator 105.

$$\frac{70}{105},\frac{63}{105},\frac{75}{105}$$

To sort the list, start from a single element \frac{70}{105}.

$$\frac{70}{105}$$

Insert \frac{63}{105} to the appropriate location in the new list.

$$\frac{63}{105},\frac{70}{105}$$

Insert \frac{75}{105} to the appropriate location in the new list.

$$\frac{63}{105},\frac{70}{105},\frac{75}{105}$$

Replace the obtained fractions with the initial values.

$$\frac{3}{5},\frac{2}{3},\frac{5}{7}$$

Evaluate

$$\frac{2}{3},\frac{3}{5},\frac{5}{7}$$