Solve 2/3,3/8,5/12

$$\frac { 2 } { 3 } , \frac { 3 } { 8 } , \frac { 5 } { 12 }$$

Sort

$$\frac{3}{8},\frac{5}{12},\frac{2}{3}$$

Solution Steps

Least common denominator of the numbers in the list \frac{2}{3},\frac{3}{8},\frac{5}{12} is 24. Convert numbers in the list to fractions with denominator 24.

$$\frac{16}{24},\frac{9}{24},\frac{10}{24}$$

To sort the list, start from a single element \frac{16}{24}.

$$\frac{16}{24}$$

Insert \frac{9}{24} to the appropriate location in the new list.

$$\frac{9}{24},\frac{16}{24}$$

Insert \frac{10}{24} to the appropriate location in the new list.

$$\frac{9}{24},\frac{10}{24},\frac{16}{24}$$

Replace the obtained fractions with the initial values.

$$\frac{3}{8},\frac{5}{12},\frac{2}{3}$$

Evaluate

$$\frac{2}{3},\frac{3}{8},\frac{5}{12}$$