Solve {l}{[(-3,5)+6,8]*(-4)}{2,1*(-5)-0,8*(-6)}{[(-2,5)+(-6,3)]:(-4)}{[(-1,4):0,7]*[6-(-2)]}

$$\left. \begin{array} { l } { [ ( - 3,5 ) + 6,8 ] \cdot ( - 4 ) } \\ { 2,1 \cdot ( - 5 ) - 0,8 \cdot ( - 6 ) } \\ { [ ( - 2,5 ) + ( - 6,3 ) ] : ( - 4 ) } \\ { [ ( - 1,4 ) : 0,7 ] \cdot [ 6 - ( - 2 ) ] } \end{array} \right.$$

Sort

$$-16;-13,2;-5,7;2,2$$

Solution Steps

Add -3,5 and 6,8 to get 3,3.

$$sort(3,3\left(-4\right);2,1\left(-5\right)-0,8\left(-6\right);\frac{-2,5-6,3}{-4};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Multiply 3,3 and -4 to get -13,2.

$$sort(-13,2;2,1\left(-5\right)-0,8\left(-6\right);\frac{-2,5-6,3}{-4};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Multiply 2,1 and -5 to get -10,5.

$$sort(-13,2;-10,5-0,8\left(-6\right);\frac{-2,5-6,3}{-4};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Multiply 0,8 and -6 to get -4,8.

$$sort(-13,2;-10,5-\left(-4,8\right);\frac{-2,5-6,3}{-4};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

The opposite of -4,8 is 4,8.

$$sort(-13,2;-10,5+4,8;\frac{-2,5-6,3}{-4};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Add -10,5 and 4,8 to get -5,7.

$$sort(-13,2;-5,7;\frac{-2,5-6,3}{-4};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Subtract 6,3 from -2,5 to get -8,8.

$$sort(-13,2;-5,7;\frac{-8,8}{-4};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Expand \frac{-8,8}{-4} by multiplying both numerator and the denominator by 10.

$$sort(-13,2;-5,7;\frac{-88}{-40};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Reduce the fraction \frac{-88}{-40} to lowest terms by extracting and canceling out -8.

$$sort(-13,2;-5,7;\frac{11}{5};\frac{-1,4}{0,7}\left(6-\left(-2\right)\right))$$

Expand \frac{-1,4}{0,7} by multiplying both numerator and the denominator by 10.

$$sort(-13,2;-5,7;\frac{11}{5};\frac{-14}{7}\left(6-\left(-2\right)\right))$$

Divide -14 by 7 to get -2.

$$sort(-13,2;-5,7;\frac{11}{5};-2\left(6-\left(-2\right)\right))$$

The opposite of -2 is 2.

$$sort(-13,2;-5,7;\frac{11}{5};-2\left(6+2\right))$$

Add 6 and 2 to get 8.

$$sort(-13,2;-5,7;\frac{11}{5};-2\times 8)$$

Multiply -2 and 8 to get -16.

$$sort(-13,2;-5,7;\frac{11}{5};-16)$$

Convert decimal numbers in the list -13,2;-5,7;\frac{11}{5};-16 to fractions.

$$-\frac{66}{5};-\frac{57}{10};\frac{11}{5};-16$$

Least common denominator of the numbers in the list -\frac{66}{5};-\frac{57}{10};\frac{11}{5};-16 is 10. Convert numbers in the list to fractions with denominator 10.

$$-\frac{132}{10};-\frac{57}{10};\frac{22}{10};-\frac{160}{10}$$

To sort the list, start from a single element -\frac{132}{10}.

$$-\frac{132}{10}$$

Insert -\frac{57}{10} to the appropriate location in the new list.

$$-\frac{132}{10};-\frac{57}{10}$$

Insert \frac{22}{10} to the appropriate location in the new list.

$$-\frac{132}{10};-\frac{57}{10};\frac{22}{10}$$

Insert -\frac{160}{10} to the appropriate location in the new list.

$$-\frac{160}{10};-\frac{132}{10};-\frac{57}{10};\frac{22}{10}$$

Replace the obtained fractions with the initial values.

$$-16;-13,2;-5,7;\frac{11}{5}$$

Evaluate

$$-13,2,\ -5,7,\ 2,2,\ -16$$