Solve 7/2,7/4,3/4,4/4

$$\frac { 7 } { 2 } , \frac { 7 } { 4 } , \frac { 3 } { 4 } , \frac { 4 } { 4 }$$

Sort

$$\frac{3}{4},1,\frac{7}{4},\frac{7}{2}$$

Solution Steps

Divide 4 by 4 to get 1.

$$sort(\frac{7}{2},\frac{7}{4},\frac{3}{4},1)$$

Convert decimal numbers in the list \frac{7}{2},\frac{7}{4},\frac{3}{4},1 to fractions.

$$\frac{7}{2},\frac{7}{4},\frac{3}{4},1$$

Least common denominator of the numbers in the list \frac{7}{2},\frac{7}{4},\frac{3}{4},1 is 4. Convert numbers in the list to fractions with denominator 4.

$$\frac{14}{4},\frac{7}{4},\frac{3}{4},\frac{4}{4}$$

To sort the list, start from a single element \frac{14}{4}.

$$\frac{14}{4}$$

Insert \frac{7}{4} to the appropriate location in the new list.

$$\frac{7}{4},\frac{14}{4}$$

Insert \frac{3}{4} to the appropriate location in the new list.

$$\frac{3}{4},\frac{7}{4},\frac{14}{4}$$

Insert \frac{4}{4} to the appropriate location in the new list.

$$\frac{3}{4},\frac{4}{4},\frac{7}{4},\frac{14}{4}$$

Replace the obtained fractions with the initial values.

$$\frac{3}{4},1,\frac{7}{4},\frac{7}{2}$$

Evaluate

$$\frac{7}{2},\frac{7}{4},\frac{3}{4},1$$