Calculate the value of the expression: [(523 + 27) × (187 − 35) ÷ (424 + 16)] divided by [ (110 ÷ 22) multiplied by (2 × 38) ]. What is the result?
Explanation
First, compute the numerator: (523 + 27) = 550 and (187 − 35) = 152, so (550 × 152) ÷ (424 + 16) = (550 × 152) ÷ 440. This simplifies to (5 × 38). For the denominator, (110 ÷ 22) = 5 and (2 × 38) = 76, so (5 × 76) ÷ 2 = (5/2 × 38). Dividing the numerator by the denominator gives (5 × 38) ÷ (5/2 × 38) = 2.