Let's solve the expression step-by-step:

Given:
\[
11 \times \left(\frac{1}{5}\right) \times 100 + 22
\]

### Step 1: Calculate \( 11 \times \frac{1}{5} \)
\[
11 \times \frac{1}{5} = \frac{11}{5} = 2.2
\]

### Step 2: Multiply by 100
\[
2.2 \times 100 = 220
\]

### Step 3: Add 22
\[
220 + 22 = 242
\]

### Final Answer
\[
242
\]

Would you like further details or have any questions?

---

1. How do you convert fractions to decimals for calculations?
2. What happens if you change the fraction \( \frac{1}{5} \) to a different value?
3. Can you use this type of calculation in percentage problems?
4. How can we solve this problem using distributive properties?
5. What are some ways to check the accuracy of such calculations?

**Tip:** Breaking down complex expressions into smaller steps can help avoid mistakes and simplify the process.

Learn how to solve the arithmetic expression 11 * (1/5) * 100 + 22 with a clear, step-by-step solution. This example covers fractions, multiplication, addition, and the order of operations, suitable for Grades 5-7.

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