Solve 5.711,4.71,51/10,41/8

$$5.711,4.71,5 \frac { 1 } { 10 } , \frac { 41 } { 8 }$$

Sort

$$4.71,5.1,5.125,5.711$$

Solution Steps

Multiply 5 and 10 to get 50.

$$sort(5.711,4.71,\frac{50+1}{10},\frac{41}{8})$$

Add 50 and 1 to get 51.

$$sort(5.711,4.71,\frac{51}{10},\frac{41}{8})$$

Convert decimal numbers in the list 5.711,4.71,\frac{51}{10},\frac{41}{8} to fractions.

$$\frac{5711}{1000},\frac{471}{100},\frac{51}{10},\frac{41}{8}$$

Least common denominator of the numbers in the list \frac{5711}{1000},\frac{471}{100},\frac{51}{10},\frac{41}{8} is 1000. Convert numbers in the list to fractions with denominator 1000.

$$\frac{5711}{1000},\frac{4710}{1000},\frac{5100}{1000},\frac{5125}{1000}$$

To sort the list, start from a single element \frac{5711}{1000}.

$$\frac{5711}{1000}$$

Insert \frac{4710}{1000} to the appropriate location in the new list.

$$\frac{4710}{1000},\frac{5711}{1000}$$

Insert \frac{5100}{1000} to the appropriate location in the new list.

$$\frac{4710}{1000},\frac{5100}{1000},\frac{5711}{1000}$$

Insert \frac{5125}{1000} to the appropriate location in the new list.

$$\frac{4710}{1000},\frac{5100}{1000},\frac{5125}{1000},\frac{5711}{1000}$$

Replace the obtained fractions with the initial values.

$$4.71,\frac{51}{10},\frac{41}{8},5.711$$

Evaluate

$$5.711,4.71,5.1,5.125$$