Solve 1/2,1/2,3/8,1/4,frac{5}{32}

$$\frac { 1 } { 2 } , \frac { 1 } { 2 } , \frac { 3 } { 8 } , \frac { 1 } { 4 } , \frac { 5 } { 32 }$$

Sort

$$\frac{5}{32},\frac{1}{4},\frac{3}{8},\frac{1}{2},\frac{1}{2}$$

Solution Steps

Least common denominator of the numbers in the list \frac{1}{2},\frac{1}{2},\frac{3}{8},\frac{1}{4},\frac{5}{32} is 32. Convert numbers in the list to fractions with denominator 32.

$$\frac{16}{32},\frac{16}{32},\frac{12}{32},\frac{8}{32},\frac{5}{32}$$

To sort the list, start from a single element \frac{16}{32}.

$$\frac{16}{32}$$

Insert \frac{16}{32} to the appropriate location in the new list.

$$\frac{16}{32},\frac{16}{32}$$

Insert \frac{12}{32} to the appropriate location in the new list.

$$\frac{12}{32},\frac{16}{32},\frac{16}{32}$$

Insert \frac{8}{32} to the appropriate location in the new list.

$$\frac{8}{32},\frac{12}{32},\frac{16}{32},\frac{16}{32}$$

Insert \frac{5}{32} to the appropriate location in the new list.

$$\frac{5}{32},\frac{8}{32},\frac{12}{32},\frac{16}{32},\frac{16}{32}$$

Replace the obtained fractions with the initial values.

$$\frac{5}{32},\frac{1}{4},\frac{3}{8},\frac{1}{2},\frac{1}{2}$$

Evaluate

$$\frac{1}{2},\frac{1}{2},\frac{3}{8},\frac{1}{4},\frac{5}{32}$$