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11. (1 + 17) ÷ (6 + 4 - 4) 14. 4 + (1 + 6) × 5 - 1 17. 2 - 1 + 9 ÷ 3 - 2

Question

  1. (1 + 17) ÷ (6 + 4 - 4)
  2. 4 + (1 + 6) × 5 - 1
  3. 2 - 1 + 9 ÷ 3 - 2

Explanation:

Problem 11: \((1 + 17) \div (6 + 4 - 4)\)

Step 1: Calculate the numerator

First, we calculate the value inside the parentheses in the numerator: \(1 + 17 = 18\)

Step 2: Calculate the denominator

Next, we calculate the value inside the parentheses in the denominator: \(6 + 4 - 4 = 6\)

Step 3: Divide the numerator by the denominator

Now, we divide the result of the numerator by the result of the denominator: \(18 \div 6 = 3\)

Step 1: Calculate the value inside the parentheses

First, we calculate the value inside the parentheses: \(1 + 6 = 7\)

Step 2: Perform the multiplication

Next, we multiply the result from the parentheses by 5: \(7 \times 5 = 35\)

Step 3: Perform the addition and subtraction from left to right

Now, we perform the addition and subtraction: \(4 + 35 - 1 = 39 - 1 = 38\)

Step 1: Perform the division

First, we perform the division: \(9 \div 3 = 3\)

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

Next, we perform the addition and subtraction: \(2 - 1 + 3 - 2 = 1 + 3 - 2 = 4 - 2 = 2\)

Answer:

\(3\)

Problem 14: \(4 + (1 + 6) \times 5 - 1\)