Solve 3.75,31/6,14/4,3.089

$$3.75,3 \frac { 1 } { 6 } , \frac { 14 } { 4 } , 3.089$$

Sort

$$3.089,\frac{19}{6},3.5,3.75$$

Solution Steps

Multiply 3 and 6 to get 18.

$$sort(3.75,\frac{18+1}{6},\frac{14}{4},3.089)$$

Add 18 and 1 to get 19.

$$sort(3.75,\frac{19}{6},\frac{14}{4},3.089)$$

Reduce the fraction \frac{14}{4} to lowest terms by extracting and canceling out 2.

$$sort(3.75,\frac{19}{6},\frac{7}{2},3.089)$$

Convert decimal numbers in the list 3.75,\frac{19}{6},\frac{7}{2},3.089 to fractions.

$$\frac{15}{4},\frac{19}{6},\frac{7}{2},\frac{3089}{1000}$$

Least common denominator of the numbers in the list \frac{15}{4},\frac{19}{6},\frac{7}{2},\frac{3089}{1000} is 3000. Convert numbers in the list to fractions with denominator 3000.

$$\frac{11250}{3000},\frac{9500}{3000},\frac{10500}{3000},\frac{9267}{3000}$$

To sort the list, start from a single element \frac{11250}{3000}.

$$\frac{11250}{3000}$$

Insert \frac{9500}{3000} to the appropriate location in the new list.

$$\frac{9500}{3000},\frac{11250}{3000}$$

Insert \frac{10500}{3000} to the appropriate location in the new list.

$$\frac{9500}{3000},\frac{10500}{3000},\frac{11250}{3000}$$

Insert \frac{9267}{3000} to the appropriate location in the new list.

$$\frac{9267}{3000},\frac{9500}{3000},\frac{10500}{3000},\frac{11250}{3000}$$

Replace the obtained fractions with the initial values.

$$3.089,\frac{19}{6},\frac{7}{2},3.75$$

Evaluate

$$3.75,\frac{19}{6},3.5,3.089$$