Solve 2/3,4/5,7/30,11/15

$$\frac { 2 } { 3 } , \frac { 4 } { 5 } , \frac { 7 } { 30 } , \frac { 11 } { 15 }$$

Sort

$$\frac{7}{30},\frac{2}{3},\frac{11}{15},\frac{4}{5}$$

Solution Steps

Least common denominator of the numbers in the list \frac{2}{3},\frac{4}{5},\frac{7}{30},\frac{11}{15} is 30. Convert numbers in the list to fractions with denominator 30.

$$\frac{20}{30},\frac{24}{30},\frac{7}{30},\frac{22}{30}$$

To sort the list, start from a single element \frac{20}{30}.

$$\frac{20}{30}$$

Insert \frac{24}{30} to the appropriate location in the new list.

$$\frac{20}{30},\frac{24}{30}$$

Insert \frac{7}{30} to the appropriate location in the new list.

$$\frac{7}{30},\frac{20}{30},\frac{24}{30}$$

Insert \frac{22}{30} to the appropriate location in the new list.

$$\frac{7}{30},\frac{20}{30},\frac{22}{30},\frac{24}{30}$$

Replace the obtained fractions with the initial values.

$$\frac{7}{30},\frac{2}{3},\frac{11}{15},\frac{4}{5}$$

Evaluate

$$\frac{2}{3},\frac{4}{5},\frac{7}{30},\frac{11}{15}$$