Solve 1/6,17/20,1/2,23/30

$$\frac { 1 } { 6 } , \frac { 17 } { 20 } , \frac { 1 } { 2 } , \frac { 23 } { 30 }$$

Sort

$$\frac{1}{6},\frac{1}{2},\frac{23}{30},\frac{17}{20}$$

Solution Steps

Least common denominator of the numbers in the list \frac{1}{6},\frac{17}{20},\frac{1}{2},\frac{23}{30} is 60. Convert numbers in the list to fractions with denominator 60.

$$\frac{10}{60},\frac{51}{60},\frac{30}{60},\frac{46}{60}$$

To sort the list, start from a single element \frac{10}{60}.

$$\frac{10}{60}$$

Insert \frac{51}{60} to the appropriate location in the new list.

$$\frac{10}{60},\frac{51}{60}$$

Insert \frac{30}{60} to the appropriate location in the new list.

$$\frac{10}{60},\frac{30}{60},\frac{51}{60}$$

Insert \frac{46}{60} to the appropriate location in the new list.

$$\frac{10}{60},\frac{30}{60},\frac{46}{60},\frac{51}{60}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{6},\frac{1}{2},\frac{23}{30},\frac{17}{20}$$

Evaluate

$$\frac{1}{6},\frac{17}{20},\frac{1}{2},\frac{23}{30}$$