Sure, let's evaluate the given expression step by step.
We need to evaluate the fraction:
[tex]\[
\frac{-10 - (-6) \times (-6) + (-2) + (-18)}{-8 + (-6) + (-2) \times 2}
\][/tex]
### Step 1: Evaluate the Numerator
The numerator is:
[tex]\[
-10 - (-6) \times (-6) + (-2) + (-18)
\][/tex]
First, we handle the multiplication inside the numerator:
[tex]\[
(-6) \times (-6) = 36
\][/tex]
Now substitute this back into the numerator:
[tex]\[
-10 - 36 + (-2) + (-18)
\][/tex]
Then, perform the addition and subtraction from left to right:
[tex]\[
-10 - 36 = -46
\][/tex]
[tex]\[
-46 + (-2) = -48
\][/tex]
[tex]\[
-48 + (-18) = -66
\][/tex]
So, the numerator is:
[tex]\[
-66
\][/tex]
### Step 2: Evaluate the Denominator
The denominator is:
[tex]\[
-8 + (-6) + (-2) \times 2
\][/tex]
First, we handle the multiplication inside the denominator:
[tex]\[
(-2) \times 2 = -4
\][/tex]
Now substitute this back into the denominator:
[tex]\[
-8 + (-6) + (-4)
\][/tex]
Next, perform the addition from left to right:
[tex]\[
-8 + (-6) = -14
\][/tex]
[tex]\[
-14 + (-4) = -18
\][/tex]
So, the denominator is:
[tex]\[
-18
\][/tex]
### Step 3: Divide the Numerator by the Denominator
Now we have:
[tex]\[
\frac{-66}{-18}
\][/tex]
Since we are dividing two negative numbers, the result will be positive. Perform the division:
[tex]\[
\frac{-66}{-18} \approx 3.6666666666666665
\][/tex]
Thus, the result of the given expression is:
[tex]\[
3.6666666666666665
\][/tex]
So, the final answer is:
[tex]\[
\boxed{3.6666666666666665}
\][/tex]
