Let's solve the given mathematical expression step-by-step:
[tex]\(2 + \frac{12}{6} - 5\)[/tex]
1. Division: Perform the division first, as per the order of operations (PEMDAS/BODMAS).
[tex]\[
\frac{12}{6} = 2.0
\][/tex]
2. Expression after division:
[tex]\[
2 + 2.0 - 5
\][/tex]
3. Addition: Perform the addition next.
[tex]\[
2 + 2.0 = 4.0
\][/tex]
4. Expression after addition:
[tex]\[
4.0 - 5
\][/tex]
5. Subtraction: Finally, perform the subtraction.
[tex]\[
4.0 - 5 = -1.0
\][/tex]
Therefore, the step-by-step solution for the expression [tex]\(2 + \frac{12}{6} - 5\)[/tex] is:
- The sum value is [tex]\(2\)[/tex].
- The division value is [tex]\(2.0\)[/tex].
- The subtraction value is [tex]\(5\)[/tex].
- The combined result of the expression is [tex]\(-1.0\)[/tex].