Simplify the expression: [(1/6 ÷ 1/9 × 2/3) × 18 + 5]

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Accepted Answer

Step 1: Simplify inside the brackets first: (1/6 ÷ 1/9 × 2/3)
- Division of fractions: 1/6 ÷ 1/9 = 1/6 × 9/1 = 9/6 = 3/2
- Now multiply by 2/3: (3/2) × (2/3) = (3 × 2) / (2 × 3) = 6/6 = 1

Step 2: Multiply the result by 18:
1 × 18 = 18

Step 3: Add 5:
18 + 5 = 23

Rechecking the calculation shows the final answer is 23, which corresponds to option 3. However, the initial calculation shows 23, but the options have 23 as option 3.

Double-checking:
(1/6 ÷ 1/9) = 1/6 × 9/1 = 9/6 = 3/2
(3/2) × (2/3) = 6/6 = 1
1 × 18 = 18
18 + 5 = 23

Therefore, the correct answer is 23.

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