To solve the expression [tex]\(-\frac{(36-8)}{(13-6)}\)[/tex], we can follow these detailed steps:
1. Evaluate the expressions inside the parentheses:
- First, compute [tex]\(36 - 8\)[/tex]:
[tex]\[
36 - 8 = 28
\][/tex]
- Next, compute [tex]\(13 - 6\)[/tex]:
[tex]\[
13 - 6 = 7
\][/tex]
2. Perform the division with the results from step 1:
- Divide the result of [tex]\(36 - 8\)[/tex] by the result of [tex]\(13 - 6\)[/tex]:
[tex]\[
\frac{28}{7} = 4
\][/tex]
3. Apply the negative sign to the result of the division:
- Since the original expression has a negative sign outside the division, we need to negate the result from step 2:
[tex]\[
-4
\][/tex]
Thus, the final solution to the expression [tex]\(-\frac{(36-8)}{(13-6)}\)[/tex] is:
[tex]\[
-4
\][/tex]