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
Here's how to solve the expression using cross-cancellation: Step 1: Write the given expression. (16)/(12) × (6)/(9) × (12)/(8) Step 2: Perform cross-cancellation to simplify the fractions before multiplying. • The 12 in the denominator of the first fraction and the 12 in the numerator of the third fraction cancel each other out. (16)/(12)_1 × (6)/(9) × 12^18 • The 16 in the numerator of the first fraction and the 8 in the denominator of the third fraction can be simplified. Divide both by 8: 16 ÷ 8 = 2 and 8 ÷ 8 = 1. 16^21 × (6)/(9) × (1)/(8)_1 • The 6 in the numerator of the second fraction and the 9 in its denominator can be simplified. Divide both by 3: 6 ÷ 3 = 2 and 9 ÷ 3 = 3. (2)/(1) × 6^29_3 × (1)/(1) Step 3: Rewrite the expression with the simplified terms. (2)/(1) × (2)/(3) × (1)/(1) Step 4: Multiply the numerators together and the denominators together. (2 × 2 × 1)/(1 × 3 × 1) = (4)/(3) The final answer is (4)/(3). Last free one today — make it count tomorrow, or type /upgrade for unlimited.