Solve 1/3,1/5,1/7,1/9

$$\frac { 1 } { 3 } , \frac { 1 } { 5 } , \frac { 1 } { 7 } , \frac { 1 } { 9 }$$

Sort

$$\frac{1}{9},\frac{1}{7},\frac{1}{5},\frac{1}{3}$$

Solution Steps

Least common denominator of the numbers in the list \frac{1}{3},\frac{1}{5},\frac{1}{7},\frac{1}{9} is 315. Convert numbers in the list to fractions with denominator 315.

$$\frac{105}{315},\frac{63}{315},\frac{45}{315},\frac{35}{315}$$

To sort the list, start from a single element \frac{105}{315}.

$$\frac{105}{315}$$

Insert \frac{63}{315} to the appropriate location in the new list.

$$\frac{63}{315},\frac{105}{315}$$

Insert \frac{45}{315} to the appropriate location in the new list.

$$\frac{45}{315},\frac{63}{315},\frac{105}{315}$$

Insert \frac{35}{315} to the appropriate location in the new list.

$$\frac{35}{315},\frac{45}{315},\frac{63}{315},\frac{105}{315}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{9},\frac{1}{7},\frac{1}{5},\frac{1}{3}$$

Evaluate

$$\frac{1}{3},\frac{1}{5},\frac{1}{7},\frac{1}{9}$$