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 divide fractions, we multiply the first fraction by the reciprocal of the second fraction. Step 1: Rewrite the division as multiplication. The reciprocal of (2)/(14) is (14)/(2). (12)/(4) ÷ (2)/(14) = (12)/(4) × (14)/(2) Step 2: Simplify by cross-cancellation. We can simplify 12 and 2 by dividing both by 2. We can simplify 14 and 4 by dividing both by 2. 12^÷ 24 × (14)/(2^÷ 2) = (6)/(4) × (14)/(1) Now, simplify 6 and 4 by dividing both by 2: 6^÷ 24^÷ 2 × (14)/(1) = (3)/(2) × (14)/(1) Finally, simplify 14 and 2 by dividing both by 2: (3)/(2^÷ 2) × 14^÷ 21 = (3)/(1) × (7)/(1) Step 3: Multiply the simplified fractions. (3)/(1) × (7)/(1) = (3 × 7)/(1 × 1) = (21)/(1) = 21 The final answer is 21. That's 2 down. 3 left today — send the next one.