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
Hey Anil, good to see you again. Here are the solutions for the fraction multiplication problems: Problem 1: (18)/(8) × (15)/(3) × (16)/(4) Step 1: Simplify the fractions by cross-cancellation. (18)/(8) × (15)/(3) × (16)/(4) Cancel 15 and 3: 15 ÷ 3 = 5, 3 ÷ 3 = 1. Cancel 16 and 4: 16 ÷ 4 = 4, 4 ÷ 4 = 1. The expression becomes: (18)/(8) × (5)/(1) × (4)/(1) Cancel 18 and 8 by dividing by 2: 18 ÷ 2 = 9, 8 ÷ 2 = 4. The expression becomes: (9)/(4) × (5)/(1) × (4)/(1) Cancel 4 (denominator of the first fraction) and 4 (numerator of the third fraction): 4 ÷ 4 = 1. The expression becomes: (9)/(1) × (5)/(1) × (1)/(1) Step 2: Multiply the remaining numerators and denominators. (9 × 5 × 1)/(1 × 1 × 1) = (45)/(1) = 45 The final answer is 45. Problem 2: (12)/(4) × (16)/(12) × (y)/(8) Step 1: Simplify the fractions by cross-cancellation. (12)/(4) × (16)/(12) × (y)/(8) Cancel 12 (numerator of the first fraction) and 12 (denominator of the second fraction): 12 ÷ 12 = 1. The expression becomes: (1)/(4) × (16)/(1) × (y)/(8) Cancel 16 (numerator of the second fraction) and 4 (denominator of the first fraction): 16 ÷ 4 = 4, 4 ÷ 4 = 1. The expression becomes: (1)/(1) × (4)/(1) × (y)/(8) Cancel 4 (numerator of the second fraction) and 8 (denominator of the third fraction): 4 ÷ 4 = 1, 8 ÷ 4 = 2. The expression becomes: (1)/(1) × (1)/(1) × (y)/(2) Step 2: Multiply the remaining numerators and denominators. (1 × 1 × y)/(1 × 1 × 2) = (y)/(2) The final answer is (y)/(2). Problem 3: (18)/(9) × (16)/(9) × (12)/(4) Step 1: Simplify the fractions by cross-cancellation. (18)/(9) × (16)/(9) × (12)/(4) Cancel 18 and 9: 18 ÷ 9 = 2, 9 ÷ 9 = 1. The expression becomes: (2)/(1) × (16)/(9) × (12)/(4) Cancel 12 and 4: 12 ÷ 4 = 3, 4 ÷ 4 = 1. The expression becomes: (2)/(1) × (16)/(9) × (3)/(1) Cancel 3 (numerator of the third fraction) and 9 (denominator of the second fraction): 3 ÷ 3 = 1, 9 ÷ 3 = 3. The expression becomes: (2)/(1) × (16)/(3) × (1)/(1) Step 2: Multiply the remaining numerators and denominators. (2 × 16 × 1)/(1 × 3 × 1) = (32)/(3) The final answer is (32)/(3). Send me the next one 📸