Solve 4.37,41/10,4.121,41/8

$$4.37 , \frac { 41 } { 10 } , 4.121,4 \frac { 1 } { 8 }$$

Sort

$$4.1,4.121,4.125,4.37$$

Solution Steps

Multiply 4 and 8 to get 32.

$$sort(4.37,\frac{41}{10},4.121,\frac{32+1}{8})$$

Add 32 and 1 to get 33.

$$sort(4.37,\frac{41}{10},4.121,\frac{33}{8})$$

Convert decimal numbers in the list 4.37,\frac{41}{10},4.121,\frac{33}{8} to fractions.

$$\frac{437}{100},\frac{41}{10},\frac{4121}{1000},\frac{33}{8}$$

Least common denominator of the numbers in the list \frac{437}{100},\frac{41}{10},\frac{4121}{1000},\frac{33}{8} is 1000. Convert numbers in the list to fractions with denominator 1000.

$$\frac{4370}{1000},\frac{4100}{1000},\frac{4121}{1000},\frac{4125}{1000}$$

To sort the list, start from a single element \frac{4370}{1000}.

$$\frac{4370}{1000}$$

Insert \frac{4100}{1000} to the appropriate location in the new list.

$$\frac{4100}{1000},\frac{4370}{1000}$$

Insert \frac{4121}{1000} to the appropriate location in the new list.

$$\frac{4100}{1000},\frac{4121}{1000},\frac{4370}{1000}$$

Insert \frac{4125}{1000} to the appropriate location in the new list.

$$\frac{4100}{1000},\frac{4121}{1000},\frac{4125}{1000},\frac{4370}{1000}$$

Replace the obtained fractions with the initial values.

$$\frac{41}{10},4.121,\frac{33}{8},4.37$$

Evaluate

$$4.37,4.1,4.121,4.125$$