Solve 21/4,63/16,189/64,567/256

$$\frac { 21 } { 4 } , \frac { 63 } { 16 } , \frac { 189 } { 64 } , \frac { 567 } { 256 }$$

Sort

$$\frac{567}{256},\frac{189}{64},\frac{63}{16},\frac{21}{4}$$

Solution Steps

Least common denominator of the numbers in the list \frac{21}{4},\frac{63}{16},\frac{189}{64},\frac{567}{256} is 256. Convert numbers in the list to fractions with denominator 256.

$$\frac{1344}{256},\frac{1008}{256},\frac{756}{256},\frac{567}{256}$$

To sort the list, start from a single element \frac{1344}{256}.

$$\frac{1344}{256}$$

Insert \frac{1008}{256} to the appropriate location in the new list.

$$\frac{1008}{256},\frac{1344}{256}$$

Insert \frac{756}{256} to the appropriate location in the new list.

$$\frac{756}{256},\frac{1008}{256},\frac{1344}{256}$$

Insert \frac{567}{256} to the appropriate location in the new list.

$$\frac{567}{256},\frac{756}{256},\frac{1008}{256},\frac{1344}{256}$$

Replace the obtained fractions with the initial values.

$$\frac{567}{256},\frac{189}{64},\frac{63}{16},\frac{21}{4}$$

Evaluate

$$\frac{21}{4},\frac{63}{16},\frac{189}{64},\frac{567}{256}$$