Let's solve the expression step by step:

Given:
\[
\frac{27}{3} \times 9 + 1
\]

1. First, divide 27 by 3:
   \[
   \frac{27}{3} = 9
   \]

2. Next, multiply the result by 9:
   \[
   9 \times 9 = 81
   \]

3. Finally, add 1:
   \[
   81 + 1 = 82
   \]

So, the final answer is **82**.

Would you like to go through any part of this solution in more detail, or do you have any questions?

Here are 8 related questions:
1. What is the result of \(54/6 \times 7 + 3\)?
2. How would you solve \(45 \div 5 \times 8 - 2\)?
3. Can you evaluate \(36/4(5) + 2\)?
4. What is the correct order of operations in \(3 \times 8 + 12 \div 4\)?
5. How does changing the order of operations affect \(18 \div 3 \times (4 + 2)\)?
6. What happens if you change the division to multiplication in \(27/3(9) + 1\)?
7. How do parentheses affect the expression \(12 \times (2 + 5)\)?
8. What is the effect of adding parentheses in \(10 + 8 \times 2\)?

**Tip:** Always remember the order of operations (PEMDAS/BODMAS) to avoid mistakes in calculations.

Learn how to solve the expression 27 divided by 3 times 9 plus 1 step-by-step. This problem covers the order of operations (PEMDAS/BODMAS), focusing on basic arithmetic operations. Suitable for students in Grades 5-7.

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