Solve {l}{18div4*20}{98div9*1}

$$\left. \begin{array} { l } { 18 \div 4 \times 20 } \\ { 98 \div 9 \times 1 } \end{array} \right.$$

Sort

$$\frac{98}{9},90$$

Solution Steps

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$sort(\frac{9}{2}\times 20,\frac{98}{9}\times 1)$$

Express \frac{9}{2}\times 20 as a single fraction.

$$sort(\frac{9\times 20}{2},\frac{98}{9}\times 1)$$

Multiply 9 and 20 to get 180.

$$sort(\frac{180}{2},\frac{98}{9}\times 1)$$

Divide 180 by 2 to get 90.

$$sort(90,\frac{98}{9}\times 1)$$

Multiply \frac{98}{9} and 1 to get \frac{98}{9}.

$$sort(90,\frac{98}{9})$$

Convert decimal numbers in the list 90,\frac{98}{9} to fractions.

$$90,\frac{98}{9}$$

To sort the list, start from a single element 90.

$$90$$

Insert \frac{98}{9} to the appropriate location in the new list.

$$\frac{98}{9},90$$

Evaluate

$$90,\ \frac{98}{9}$$