Solve 3/3,3/12,3/48,3/192,frac{3}{768}

$$\frac { 3 } { 3 } , \frac { 3 } { 12 } , \frac { 3 } { 48 } , \frac { 3 } { 192 } , \frac { 3 } { 768 }$$

Sort

$$\frac{1}{256},\frac{1}{64},\frac{1}{16},\frac{1}{4},1$$

Solution Steps

Divide 3 by 3 to get 1.

$$sort(1,\frac{3}{12},\frac{3}{48},\frac{3}{192},\frac{3}{768})$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$sort(1,\frac{1}{4},\frac{3}{48},\frac{3}{192},\frac{3}{768})$$

Reduce the fraction \frac{3}{48} to lowest terms by extracting and canceling out 3.

$$sort(1,\frac{1}{4},\frac{1}{16},\frac{3}{192},\frac{3}{768})$$

Reduce the fraction \frac{3}{192} to lowest terms by extracting and canceling out 3.

$$sort(1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{3}{768})$$

Reduce the fraction \frac{3}{768} to lowest terms by extracting and canceling out 3.

$$sort(1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256})$$

Convert decimal numbers in the list 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256} to fractions.

$$1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256}$$

Least common denominator of the numbers in the list 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256} is 256. Convert numbers in the list to fractions with denominator 256.

$$\frac{256}{256},\frac{64}{256},\frac{16}{256},\frac{4}{256},\frac{1}{256}$$

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

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

Insert \frac{64}{256} to the appropriate location in the new list.

$$\frac{64}{256},\frac{256}{256}$$

Insert \frac{16}{256} to the appropriate location in the new list.

$$\frac{16}{256},\frac{64}{256},\frac{256}{256}$$

Insert \frac{4}{256} to the appropriate location in the new list.

$$\frac{4}{256},\frac{16}{256},\frac{64}{256},\frac{256}{256}$$

Insert \frac{1}{256} to the appropriate location in the new list.

$$\frac{1}{256},\frac{4}{256},\frac{16}{256},\frac{64}{256},\frac{256}{256}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{256},\frac{1}{64},\frac{1}{16},\frac{1}{4},1$$

Evaluate

$$1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256}$$