Solve 1/625,1/343,1/256,4/81,frac{1}{32}

$$\frac { 1 } { 625 } , \frac { 1 } { 343 } , \frac { 1 } { 256 } , \frac { 4 } { 81 } , \frac { 1 } { 32 }$$

Sort

$$\frac{1}{625},\frac{1}{343},\frac{1}{256},\frac{1}{32},\frac{4}{81}$$

Solution Steps

Least common denominator of the numbers in the list \frac{1}{625},\frac{1}{343},\frac{1}{256},\frac{4}{81},\frac{1}{32} is 4445280000. Convert numbers in the list to fractions with denominator 4445280000.

$$\frac{7112448}{4445280000},\frac{12960000}{4445280000},\frac{17364375}{4445280000},\frac{219520000}{4445280000},\frac{138915000}{4445280000}$$

To sort the list, start from a single element \frac{7112448}{4445280000}.

$$\frac{7112448}{4445280000}$$

Insert \frac{12960000}{4445280000} to the appropriate location in the new list.

$$\frac{7112448}{4445280000},\frac{12960000}{4445280000}$$

Insert \frac{17364375}{4445280000} to the appropriate location in the new list.

$$\frac{7112448}{4445280000},\frac{12960000}{4445280000},\frac{17364375}{4445280000}$$

Insert \frac{219520000}{4445280000} to the appropriate location in the new list.

$$\frac{7112448}{4445280000},\frac{12960000}{4445280000},\frac{17364375}{4445280000},\frac{219520000}{4445280000}$$

Insert \frac{138915000}{4445280000} to the appropriate location in the new list.

$$\frac{7112448}{4445280000},\frac{12960000}{4445280000},\frac{17364375}{4445280000},\frac{138915000}{4445280000},\frac{219520000}{4445280000}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{625},\frac{1}{343},\frac{1}{256},\frac{1}{32},\frac{4}{81}$$

Evaluate

$$\frac{1}{625},\frac{1}{343},\frac{1}{256},\frac{4}{81},\frac{1}{32}$$