Solve {l}{(-1-4):(-9-2)-(-12+2)}{(-5-5)+(-9+4+6)}

$$\left. \begin{array} { l } { ( - 1 - 4 ) : ( - 9 - 2 ) - ( - 12 + 2 ) } \\ { ( - 5 - 5 ) + ( - 9 + 4 + 6 ) } \end{array} \right.$$

Sort

$$-9,\frac{115}{11}$$

Solution Steps

Subtract 4 from -1 to get -5.

$$sort(\frac{-5}{-9-2}-\left(-12+2\right),-5-5-9+4+6)$$

Subtract 2 from -9 to get -11.

$$sort(\frac{-5}{-11}-\left(-12+2\right),-5-5-9+4+6)$$

Fraction \frac{-5}{-11} can be simplified to \frac{5}{11} by removing the negative sign from both the numerator and the denominator.

$$sort(\frac{5}{11}-\left(-12+2\right),-5-5-9+4+6)$$

Add -12 and 2 to get -10.

$$sort(\frac{5}{11}-\left(-10\right),-5-5-9+4+6)$$

The opposite of -10 is 10.

$$sort(\frac{5}{11}+10,-5-5-9+4+6)$$

Convert 10 to fraction \frac{110}{11}.

$$sort(\frac{5}{11}+\frac{110}{11},-5-5-9+4+6)$$

Since \frac{5}{11} and \frac{110}{11} have the same denominator, add them by adding their numerators.

$$sort(\frac{5+110}{11},-5-5-9+4+6)$$

Add 5 and 110 to get 115.

$$sort(\frac{115}{11},-5-5-9+4+6)$$

Subtract 5 from -5 to get -10.

$$sort(\frac{115}{11},-10-9+4+6)$$

Subtract 9 from -10 to get -19.

$$sort(\frac{115}{11},-19+4+6)$$

Add -19 and 4 to get -15.

$$sort(\frac{115}{11},-15+6)$$

Add -15 and 6 to get -9.

$$sort(\frac{115}{11},-9)$$

Convert decimal numbers in the list \frac{115}{11},-9 to fractions.

$$\frac{115}{11},-9$$

To sort the list, start from a single element \frac{115}{11}.

$$\frac{115}{11}$$

Insert -9 to the appropriate location in the new list.

$$-9,\frac{115}{11}$$

Evaluate

$$\frac{115}{11},\ -9$$