Solve {l}{3,0:0,02-2,7:1,2}{4,25*25-1,26*2}

$$\left. \begin{array} { l } { 3,0 : 0,02 - 2,7 : 1,2 } \\ { 4,25 \cdot 25 - 1,26 \cdot 2 } \end{array} \right.$$

Sort

$$103,73;147,75$$

Solution Steps

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

$$sort(\frac{300}{2}-\frac{2,7}{1,2};4,25\times 25-1,26\times 2)$$

Divide 300 by 2 to get 150.

$$sort(150-\frac{2,7}{1,2};4,25\times 25-1,26\times 2)$$

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

$$sort(150-\frac{27}{12};4,25\times 25-1,26\times 2)$$

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

$$sort(150-\frac{9}{4};4,25\times 25-1,26\times 2)$$

Convert 150 to fraction \frac{600}{4}.

$$sort(\frac{600}{4}-\frac{9}{4};4,25\times 25-1,26\times 2)$$

Since \frac{600}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$sort(\frac{600-9}{4};4,25\times 25-1,26\times 2)$$

Subtract 9 from 600 to get 591.

$$sort(\frac{591}{4};4,25\times 25-1,26\times 2)$$

Multiply 4,25 and 25 to get 106,25.

$$sort(\frac{591}{4};106,25-1,26\times 2)$$

Multiply 1,26 and 2 to get 2,52.

$$sort(\frac{591}{4};106,25-2,52)$$

Subtract 2,52 from 106,25 to get 103,73.

$$sort(\frac{591}{4};103,73)$$

Convert decimal numbers in the list \frac{591}{4};103,73 to fractions.

$$\frac{591}{4};\frac{10373}{100}$$

Least common denominator of the numbers in the list \frac{591}{4};\frac{10373}{100} is 100. Convert numbers in the list to fractions with denominator 100.

$$\frac{14775}{100};\frac{10373}{100}$$

To sort the list, start from a single element \frac{14775}{100}.

$$\frac{14775}{100}$$

Insert \frac{10373}{100} to the appropriate location in the new list.

$$\frac{10373}{100};\frac{14775}{100}$$

Replace the obtained fractions with the initial values.

$$103,73;\frac{591}{4}$$

Evaluate

$$147,75,\ 103,73$$