Solve {l}{3,6:0,02-2,7:1,2}{4,25:2,5-1,36:2}

$$\left. \begin{array} { l } { 3,6 : 0,02 - 2,7 : 1,2 } \\ { 4,25 : 2,5 - 1,36 : 2 } \end{array} \right.$$

Sort

$$1,02;177,75$$

Solution Steps

Expand \frac{3,6}{0,02} by multiplying both numerator and the denominator by 100.

$$sort(\frac{360}{2}-\frac{2,7}{1,2};\frac{4,25}{2,5}-\frac{1,36}{2})$$

Divide 360 by 2 to get 180.

$$sort(180-\frac{2,7}{1,2};\frac{4,25}{2,5}-\frac{1,36}{2})$$

Expand \frac{2,7}{1,2} by multiplying both numerator and the denominator by 10.

$$sort(180-\frac{27}{12};\frac{4,25}{2,5}-\frac{1,36}{2})$$

Reduce the fraction \frac{27}{12} to lowest terms by extracting and canceling out 3.

$$sort(180-\frac{9}{4};\frac{4,25}{2,5}-\frac{1,36}{2})$$

Convert 180 to fraction \frac{720}{4}.

$$sort(\frac{720}{4}-\frac{9}{4};\frac{4,25}{2,5}-\frac{1,36}{2})$$

Since \frac{720}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{720-9}{4};\frac{4,25}{2,5}-\frac{1,36}{2})$$

Subtract 9 from 720 to get 711.

$$sort(\frac{711}{4};\frac{4,25}{2,5}-\frac{1,36}{2})$$

Expand \frac{4,25}{2,5} by multiplying both numerator and the denominator by 100.

$$sort(\frac{711}{4};\frac{425}{250}-\frac{1,36}{2})$$

Reduce the fraction \frac{425}{250} to lowest terms by extracting and canceling out 25.

$$sort(\frac{711}{4};\frac{17}{10}-\frac{1,36}{2})$$

Expand \frac{1,36}{2} by multiplying both numerator and the denominator by 100.

$$sort(\frac{711}{4};\frac{17}{10}-\frac{136}{200})$$

Reduce the fraction \frac{136}{200} to lowest terms by extracting and canceling out 8.

$$sort(\frac{711}{4};\frac{17}{10}-\frac{17}{25})$$

Least common multiple of 10 and 25 is 50. Convert \frac{17}{10} and \frac{17}{25} to fractions with denominator 50.

$$sort(\frac{711}{4};\frac{85}{50}-\frac{34}{50})$$

Since \frac{85}{50} and \frac{34}{50} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{711}{4};\frac{85-34}{50})$$

Subtract 34 from 85 to get 51.

$$sort(\frac{711}{4};\frac{51}{50})$$

Least common denominator of the numbers in the list \frac{711}{4};\frac{51}{50} is 100. Convert numbers in the list to fractions with denominator 100.

$$\frac{17775}{100};\frac{102}{100}$$

To sort the list, start from a single element \frac{17775}{100}.

$$\frac{17775}{100}$$

Insert \frac{102}{100} to the appropriate location in the new list.

$$\frac{102}{100};\frac{17775}{100}$$

Replace the obtained fractions with the initial values.

$$\frac{51}{50};\frac{711}{4}$$

Evaluate

$$177,75,\ 1,02$$