Solve 8.595,8.59,177/20,88/9

$$8.595,8.59 , \frac { 177 } { 20 } , 8 \frac { 8 } { 9 }$$

Sort

$$8.59,8.595,8.85,\frac{80}{9}$$

Solution Steps

Multiply 8 and 9 to get 72.

$$sort(8.595,8.59,\frac{177}{20},\frac{72+8}{9})$$

Add 72 and 8 to get 80.

$$sort(8.595,8.59,\frac{177}{20},\frac{80}{9})$$

Convert decimal numbers in the list 8.595,8.59,\frac{177}{20},\frac{80}{9} to fractions.

$$\frac{1719}{200},\frac{859}{100},\frac{177}{20},\frac{80}{9}$$

Least common denominator of the numbers in the list \frac{1719}{200},\frac{859}{100},\frac{177}{20},\frac{80}{9} is 1800. Convert numbers in the list to fractions with denominator 1800.

$$\frac{15471}{1800},\frac{15462}{1800},\frac{15930}{1800},\frac{16000}{1800}$$

To sort the list, start from a single element \frac{15471}{1800}.

$$\frac{15471}{1800}$$

Insert \frac{15462}{1800} to the appropriate location in the new list.

$$\frac{15462}{1800},\frac{15471}{1800}$$

Insert \frac{15930}{1800} to the appropriate location in the new list.

$$\frac{15462}{1800},\frac{15471}{1800},\frac{15930}{1800}$$

Insert \frac{16000}{1800} to the appropriate location in the new list.

$$\frac{15462}{1800},\frac{15471}{1800},\frac{15930}{1800},\frac{16000}{1800}$$

Replace the obtained fractions with the initial values.

$$8.59,8.595,\frac{177}{20},\frac{80}{9}$$

Evaluate

$$8.595,8.59,8.85,\frac{80}{9}$$