Simplify: 1020 ÷ [4/3 of (26 + 4) - 11 2/3]

Question

Accepted Answer

Step 1: Calculate the expression inside the bracket.

First, calculate (26 + 4) = 30.

Step 2: Calculate 4/3 of 30.

(4/3) × 30 = (4 × 30) / 3 = 120 / 3 = 40.

Step 3: Convert 11 2/3 to an improper fraction.

11 2/3 = 11 + 2/3 = (33/3) + (2/3) = 35/3 ≈ 11.6667.

Step 4: Subtract 11 2/3 from 40.

40 - 35/3 = (120/3) - (35/3) = (120 - 35)/3 = 85/3 ≈ 28.3333.

Step 5: Now divide 1020 by the result.

1020 ÷ (85/3) = 1020 × (3/85) = (1020 × 3) / 85 = 3060 / 85 = 36.

Therefore, the simplified value is 36.

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