Solve 6.06,49/8,6.037,61/20

$$6.06 , \frac { 49 } { 8 } , 6.037,6 \frac { 1 } { 20 }$$

Sort

$$6.037,6.05,6.06,6.125$$

Solution Steps

Multiply 6 and 20 to get 120.

$$sort(6.06,\frac{49}{8},6.037,\frac{120+1}{20})$$

Add 120 and 1 to get 121.

$$sort(6.06,\frac{49}{8},6.037,\frac{121}{20})$$

Convert decimal numbers in the list 6.06,\frac{49}{8},6.037,\frac{121}{20} to fractions.

$$\frac{303}{50},\frac{49}{8},\frac{6037}{1000},\frac{121}{20}$$

Least common denominator of the numbers in the list \frac{303}{50},\frac{49}{8},\frac{6037}{1000},\frac{121}{20} is 1000. Convert numbers in the list to fractions with denominator 1000.

$$\frac{6060}{1000},\frac{6125}{1000},\frac{6037}{1000},\frac{6050}{1000}$$

To sort the list, start from a single element \frac{6060}{1000}.

$$\frac{6060}{1000}$$

Insert \frac{6125}{1000} to the appropriate location in the new list.

$$\frac{6060}{1000},\frac{6125}{1000}$$

Insert \frac{6037}{1000} to the appropriate location in the new list.

$$\frac{6037}{1000},\frac{6060}{1000},\frac{6125}{1000}$$

Insert \frac{6050}{1000} to the appropriate location in the new list.

$$\frac{6037}{1000},\frac{6050}{1000},\frac{6060}{1000},\frac{6125}{1000}$$

Replace the obtained fractions with the initial values.

$$6.037,\frac{121}{20},6.06,\frac{49}{8}$$

Evaluate

$$6.06,6.125,6.037,6.05$$