Let's follow the order of operations (PEMDAS/BODMAS):

1. **Multiplication and Division** come before addition and subtraction.
2. We solve the multiplication and division first, then proceed with the addition and subtraction.

The expression is:

\[
7 + 2 \times 7 - \frac{12}{4}
\]

Step 1: Solve multiplication and division.

\[
2 \times 7 = 14 \quad \text{and} \quad \frac{12}{4} = 3
\]

So the expression becomes:

\[
7 + 14 - 3
\]

Step 2: Perform addition and subtraction from left to right.

\[
7 + 14 = 21
\]

\[
21 - 3 = 18
\]

So, the final answer is:

\[
18
\]

Would you like more details on any step or have any other questions?

Here are 5 related questions:
1. What is the order of operations rule (PEMDAS)?
2. How would the result change if parentheses were involved: \( 7 + (2 \times 7 - 12)/4 \)?
3. How do you handle expressions with exponents and square roots?
4. Can negative numbers change the result in this problem?
5. How would the result change if the division had a decimal or fraction?

**Tip**: Always perform operations in the correct order (parentheses first, then exponents, then multiplication and division, and finally addition and subtraction).

Learn how to solve the arithmetic expression 7+2x7-12/4 step-by-step using the order of operations rule (PEMDAS/BODMAS). This guide simplifies the process by solving multiplication and division before addition and subtraction. Suitable for students in Grades 5-7.

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