Solve {l}{16,2:4}{0,27,20}{100:2,5}

$$\left. \begin{array} { l } { 16,2 : 4 } \\ { 0,27,20 } \\ { 100 : 2,5 } \end{array} \right.$$

Sort

$$0,\frac{1}{2},5,16,20,27,50$$

Solution Steps

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$sort(16,\frac{1}{2},0,27,20,\frac{100}{2},5)$$

Divide 100 by 2 to get 50.

$$sort(16,\frac{1}{2},0,27,20,50,5)$$

Convert decimal numbers in the list 16,\frac{1}{2},0,27,20,50,5 to fractions.

$$16,\frac{1}{2},0,27,20,50,5$$

To sort the list, start from a single element 16.

$$16$$

Insert \frac{1}{2} to the appropriate location in the new list.

$$\frac{1}{2},16$$

Insert 0 to the appropriate location in the new list.

$$0,\frac{1}{2},16$$

Insert 27 to the appropriate location in the new list.

$$0,\frac{1}{2},16,27$$

Insert 20 to the appropriate location in the new list.

$$0,\frac{1}{2},16,20,27$$

Insert 50 to the appropriate location in the new list.

$$0,\frac{1}{2},16,20,27,50$$

Insert 5 to the appropriate location in the new list.

$$0,\frac{1}{2},5,16,20,27,50$$

Evaluate

$$16,\ \frac{1}{2},\ 0,\ 27,\ 20,\ 50,\ 5$$