Solve 5quad8/8,3/12,4/16,5/20

$$5 \quad \frac { 8 } { 8 } , \frac { 3 } { 12 } , \frac { 4 } { 16 } , \frac { 5 } { 20 }$$

Sort

$$\frac{1}{4},\frac{1}{4},\frac{1}{4},6$$

Solution Steps

Multiply 5 and 8 to get 40.

$$sort(\frac{40+8}{8},\frac{3}{12},\frac{4}{16},\frac{5}{20})$$

Add 40 and 8 to get 48.

$$sort(\frac{48}{8},\frac{3}{12},\frac{4}{16},\frac{5}{20})$$

Divide 48 by 8 to get 6.

$$sort(6,\frac{3}{12},\frac{4}{16},\frac{5}{20})$$

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

$$sort(6,\frac{1}{4},\frac{4}{16},\frac{5}{20})$$

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$sort(6,\frac{1}{4},\frac{1}{4},\frac{5}{20})$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$sort(6,\frac{1}{4},\frac{1}{4},\frac{1}{4})$$

Convert decimal numbers in the list 6,\frac{1}{4},\frac{1}{4},\frac{1}{4} to fractions.

$$6,\frac{1}{4},\frac{1}{4},\frac{1}{4}$$

To sort the list, start from a single element 6.

$$6$$

Insert \frac{1}{4} to the appropriate location in the new list.

$$\frac{1}{4},6$$

Insert \frac{1}{4} to the appropriate location in the new list.

$$\frac{1}{4},\frac{1}{4},6$$

Insert \frac{1}{4} to the appropriate location in the new list.

$$\frac{1}{4},\frac{1}{4},\frac{1}{4},6$$

Evaluate

$$6,\frac{1}{4},\frac{1}{4},\frac{1}{4}$$