answer and Step-by-step explanation:
To simplify the expression 27⅔ × 64⅓ ÷ 81¼, you can follow these steps:
Step 1: Convert the mixed numbers to improper fractions.
27⅔ = 27 + 2/3 = (27 * 3 + 2) / 3 = 81/3 + 2/3 = 83/3
64⅓ = 64 + 1/3 = (64 * 3 + 1) / 3 = 192/3 + 1/3 = 193/3
81¼ = 81 + 1/4 = (81 * 4 + 1) / 4 = 324/4 + 1/4 = 325/4
Step 2: Perform the multiplication and division operations.
27⅔ × 64⅓ ÷ 81¼ = (83/3) × (193/3) ÷ (325/4)
Step 3: Multiply the numerators and denominators, then perform the division.
(83/3) × (193/3) ÷ (325/4) = (83 * 193 * 4) / (3 * 3 * 325)
= 64012 / 2925
So, the simplified result of the expression is 64012/2925.