This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
You're on a roll — Step 1: Convert all mixed numbers to improper fractions. The given expression is: (32)/(3) of 21 + 3(3)/(4) ÷ (3)/(8) - 4(1)/(2) × 3(1)/(3)5(5)/(8) × 1(1)/(3) - (1)/(4) of 4(2)/(3) ÷ (7)/(10) Converting all mixed numbers to improper fractions: 3(2)/(3) = (3 × 3 + 2)/(3) = (11)/(3) 3(3)/(4) = (3 × 4 + 3)/(4) = (15)/(4) 4(1)/(2) = (4 × 2 + 1)/(2) = (9)/(2) 3(1)/(3) = (3 × 3 + 1)/(3) = (10)/(3) 5(5)/(8) = (5 × 8 + 5)/(8) = (45)/(8) 1(1)/(3) = (1 × 3 + 1)/(3) = (4)/(3) 4(2)/(3) = (4 × 3 + 2)/(3) = (14)/(3) Substitute these into the expression: (11)/(3) of 21 + (15)/(4) ÷ (3)/(8) - (9)/(2) × (10)/(3)(45)/(8) × (4)/(3) - (1)/(4) of (14)/(3) ÷ (7)/(10) Step