Solve {l}{.02804*100}{9.9div10}{280.4*0.01}{99*0.1}{0.2804div0.01}

$$\left. \begin{array} { l } { .02804 \times 100 } \\ { 9.9 \div 10 } \\ { 280.4 \times 0.01 } \\ { 99 \times 0.1 } \\ { 0.2804 \div 0.01 } \end{array} \right.$$

Sort

$$0.99,2.804,2.804,9.9,28.04$$

Solution Steps

Multiply 0.02804 and 100 to get 2.804.

$$sort(2.804,\frac{9.9}{10},280.4\times 0.01,99\times 0.1,\frac{0.2804}{0.01})$$

Expand \frac{9.9}{10} by multiplying both numerator and the denominator by 10.

$$sort(2.804,\frac{99}{100},280.4\times 0.01,99\times 0.1,\frac{0.2804}{0.01})$$

Multiply 280.4 and 0.01 to get 2.804.

$$sort(2.804,\frac{99}{100},2.804,99\times 0.1,\frac{0.2804}{0.01})$$

Multiply 99 and 0.1 to get 9.9.

$$sort(2.804,\frac{99}{100},2.804,9.9,\frac{0.2804}{0.01})$$

Expand \frac{0.2804}{0.01} by multiplying both numerator and the denominator by 10000.

$$sort(2.804,\frac{99}{100},2.804,9.9,\frac{2804}{100})$$

Reduce the fraction \frac{2804}{100} to lowest terms by extracting and canceling out 4.

$$sort(2.804,\frac{99}{100},2.804,9.9,\frac{701}{25})$$

Convert decimal numbers in the list 2.804,\frac{99}{100},2.804,9.9,\frac{701}{25} to fractions.

$$\frac{701}{250},\frac{99}{100},\frac{701}{250},\frac{99}{10},\frac{701}{25}$$

Least common denominator of the numbers in the list \frac{701}{250},\frac{99}{100},\frac{701}{250},\frac{99}{10},\frac{701}{25} is 500. Convert numbers in the list to fractions with denominator 500.

$$\frac{1402}{500},\frac{495}{500},\frac{1402}{500},\frac{4950}{500},\frac{14020}{500}$$

To sort the list, start from a single element \frac{1402}{500}.

$$\frac{1402}{500}$$

Insert \frac{495}{500} to the appropriate location in the new list.

$$\frac{495}{500},\frac{1402}{500}$$

Insert \frac{1402}{500} to the appropriate location in the new list.

$$\frac{495}{500},\frac{1402}{500},\frac{1402}{500}$$

Insert \frac{4950}{500} to the appropriate location in the new list.

$$\frac{495}{500},\frac{1402}{500},\frac{1402}{500},\frac{4950}{500}$$

Insert \frac{14020}{500} to the appropriate location in the new list.

$$\frac{495}{500},\frac{1402}{500},\frac{1402}{500},\frac{4950}{500},\frac{14020}{500}$$

Replace the obtained fractions with the initial values.

$$\frac{99}{100},2.804,2.804,9.9,\frac{701}{25}$$

Evaluate

$$2.804,\ 0.99,\ 2.804,\ 9.9,\ 28.04$$