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
Step 1: Convert the mixed number to an improper fraction. 2(2)/(3) = ((2 × 3) + 2)/(3) = (6+2)/(3) = (8)/(3) Step 2: Rewrite the expression with the improper fraction. 15 ÷ 4 × (8)/(3) ÷ (5)/(6) × 3 ÷ 10 Step 3: Convert division to multiplication by the reciprocal. 15 × (1)/(4) × (8)/(3) × (6)/(5) × 3 × (1)/(10) Step 4: Multiply the numerators together and the denominators together. (15 × 1 × 8 × 6 × 3 × 1)/(4 × 3 × 5 × 10) Step 5: Simplify the expression by canceling common factors. (15)/(5 × 3) = 1 (8)/(4) = 2 (6)/(10) = (3)/(5) The expression becomes: 1 × (1)/(1) × 2 × (3)/(5) × 3 × (1)/(1) Step 6: Multiply the remaining terms. (1 × 1 × 2 × 3 × 3 × 1)/(1 × 1 × 1 × 5 × 1 × 1) = (18)/(5) Step 7: Convert the improper fraction to a mixed number or decimal if preferred. (18)/(5) = 3(3)/(5) or 3.6 3.6