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. (12)/(8) × (6)/(9) × (24)/(2) Step 2: Simplify by cross-cancellation. First, simplify (12)/(8) by dividing both numerator and denominator by 4, resulting in (3)/(2). (3)/(2) × (6)/(9) × (24)/(2) Next, simplify (6)/(9) by dividing both numerator and denominator by 3, resulting in (2)/(3). (3)/(2) × (2)/(3) × (24)/(2) Now, we can cross-cancel: • The 3 in the numerator of the first fraction with the 3 in the denominator of the second fraction. • The 2 in the numerator of the second fraction with the 2 in the denominator of the first fraction. 3^÷ 32^÷ 2 × 2^÷ 23^÷ 3 × (24)/(2) = (1)/(1) × (1)/(1) × (24)/(2) Finally, simplify (24)/(2) by dividing both numerator and denominator by 2, resulting in (12)/(1). (1)/(1) × (1)/(1) × (12)/(1) Step 3: Multiply the simplified fractions. (1 × 1 × 12)/(1 × 1 × 1) = (12)/(1) = 12 The final answer is 12. 3 done, 2 left today. You're making progress.