To solve the expression \( 18 + \frac{23}{4} \times 2 \), follow the order of operations (PEMDAS/BODMAS):

1. **Division**: First, divide \( 23 \) by \( 4 \):
   \[
   \frac{23}{4} = 5.75
   \]

2. **Multiplication**: Next, multiply the result by \( 2 \):
   \[
   5.75 \times 2 = 11.5
   \]

3. **Addition**: Finally, add \( 18 \) to the result:
   \[
   18 + 11.5 = 29.5
   \]

So, the final result is \( \boxed{29.5} \).

Would you like more details on any part of this calculation or have any further questions?

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Here are 8 related questions:
1. How does the order of operations affect the result in complex expressions?
2. What happens if the parentheses are added around \( 18 + 23 \)?
3. How can fractions be multiplied and divided?
4. How would the expression change if the division and multiplication were swapped?
5. What are the common mistakes when applying the order of operations?
6. How do you handle expressions with multiple operations of the same priority?
7. How would you solve this expression if it involved exponents?
8. Can this expression be simplified further by factoring?

**Tip:** Always remember to follow the order of operations (PEMDAS/BODMAS) to avoid mistakes in solving mathematical expressions.

Learn how to solve the expression 18 + 23 ÷ 4 × 2 with a step-by-step explanation. This problem involves arithmetic operations and the order of operations (PEMDAS/BODMAS). Suitable for students in Grades 5-8.

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