Solve 3.39,4.399,41/11,81/20

$$3.39,4.399,4 \frac { 1 } { 11 } , \frac { 81 } { 20 }$$

Sort

$$3.39,4.05,\frac{45}{11},4.399$$

Solution Steps

Multiply 4 and 11 to get 44.

$$sort(3.39,4.399,\frac{44+1}{11},\frac{81}{20})$$

Add 44 and 1 to get 45.

$$sort(3.39,4.399,\frac{45}{11},\frac{81}{20})$$

Convert decimal numbers in the list 3.39,4.399,\frac{45}{11},\frac{81}{20} to fractions.

$$\frac{339}{100},\frac{4399}{1000},\frac{45}{11},\frac{81}{20}$$

Least common denominator of the numbers in the list \frac{339}{100},\frac{4399}{1000},\frac{45}{11},\frac{81}{20} is 11000. Convert numbers in the list to fractions with denominator 11000.

$$\frac{37290}{11000},\frac{48389}{11000},\frac{45000}{11000},\frac{44550}{11000}$$

To sort the list, start from a single element \frac{37290}{11000}.

$$\frac{37290}{11000}$$

Insert \frac{48389}{11000} to the appropriate location in the new list.

$$\frac{37290}{11000},\frac{48389}{11000}$$

Insert \frac{45000}{11000} to the appropriate location in the new list.

$$\frac{37290}{11000},\frac{45000}{11000},\frac{48389}{11000}$$

Insert \frac{44550}{11000} to the appropriate location in the new list.

$$\frac{37290}{11000},\frac{44550}{11000},\frac{45000}{11000},\frac{48389}{11000}$$

Replace the obtained fractions with the initial values.

$$3.39,\frac{81}{20},\frac{45}{11},4.399$$

Evaluate

$$3.39,4.399,\frac{45}{11},4.05$$