Solve {l}{0,01:0,1}{0,001:0,1}

$$\left. \begin{array} { l } { 0,01 : 0,1 } \\ { 0,001 : 0,1 } \end{array} \right.$$

Sort

$$0,01;0,1$$

Solution Steps

Expand \frac{0,01}{0,1} by multiplying both numerator and the denominator by 100.

$$sort(\frac{1}{10};\frac{0,001}{0,1})$$

Expand \frac{0,001}{0,1} by multiplying both numerator and the denominator by 1000.

$$sort(\frac{1}{10};\frac{1}{100})$$

Least common denominator of the numbers in the list \frac{1}{10};\frac{1}{100} is 100. Convert numbers in the list to fractions with denominator 100.

$$\frac{10}{100};\frac{1}{100}$$

To sort the list, start from a single element \frac{10}{100}.

$$\frac{10}{100}$$

Insert \frac{1}{100} to the appropriate location in the new list.

$$\frac{1}{100};\frac{10}{100}$$

Replace the obtained fractions with the initial values.

$$\frac{1}{100};\frac{1}{10}$$

Evaluate

$$0,1,\ 0,01$$