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
To multiply fractions, we multiply the numerators together and the denominators together. We can simplify the fractions by cross-cancellation before multiplying. Step 1: Write the expression. (16)/(4) × (14)/(4) × (16)/(18) Step 2: Simplify by cross-cancellation. First, simplify (16)/(4) to (4)/(1). (4)/(1) × (14)/(4) × (16)/(18) Next, simplify (14)/(4) by dividing both numerator and denominator by 2, resulting in (7)/(2). (4)/(1) × (7)/(2) × (16)/(18) Then, simplify (16)/(18) by dividing both numerator and denominator by 2, resulting in (8)/(9). (4)/(1) × (7)/(2) × (8)/(9) Now, we can cross-cancel 4 (numerator of the first fraction) with 2 (denominator of the second fraction). Divide 4 by 2 to get 2, and 2 by 2 to get 1. (2)/(1) × (7)/(1) × (8)/(9) There are no more common factors for cross-cancellation. Step 3: Multiply the simplified fractions. Multiply the numerators: 2 × 7 × 8 = 14 × 8 = 112. Multiply the denominators: 1 × 1 × 9 = 9. (112)/(9) The fraction (112)/(9) cannot be simplified further. The final answer is (112)/(9). That's 4 down. 1 left today — send the next one.