To solve the expression \(7 + 12 \div 4 - 1\), we need to follow the order of operations (PEMDAS/BODMAS). First, we perform the division, then the addition, and finally the subtraction.
Step 1: Evaluate the Division
First, we evaluate the division in the expression \(12 \div 4\):
\[
12 \div 4 = 3
\]
Step 2: Substitute and Simplify
Next, we substitute the result back into the expression:
\[
7 + 3 - 1
\]
Step 3: Perform Addition and Subtraction
Now, we perform the addition and subtraction from left to right:
\[
7 + 3 = 10
\]
\[
10 - 1 = 9
\]
Final Answer
The final result of the expression \(7 + 12 \div 4 - 1\) is
\[
\boxed{9}
\]