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 multiply the mixed numbers: We need to calculate 2(5)/(7) × 4(5)/(6). Step 1: Convert the mixed numbers to improper fractions. To convert a mixed number a(b)/(c) to an improper fraction, use the formula ((a × c) + b)/(c). For 2(5)/(7): 2(5)/(7) = ((2 × 7) + 5)/(7) = (14 + 5)/(7) = (19)/(7) For 4(5)/(6): 4(5)/(6) = ((4 × 6) + 5)/(6) = (24 + 5)/(6) = (29)/(6) Step 2: Multiply the improper fractions. Multiply the numerators together and the denominators together. (19)/(7) × (29)/(6) = (19 × 29)/(7 × 6) Step 3: Perform the multiplication. 19 × 29 = 551 7 × 6 = 42 So, the product is (551)/(42). Step 4: Convert the improper fraction back to a mixed number. Divide the numerator (551) by the denominator (42). 551 ÷ 42 551 = 42 × 13 + 5 The quotient is 13, and the remainder is 5. So, (551)/(42) as a mixed number is 13(5)/(42). The final answer is 13(5)/(42). 13(5)/(42) Last free one today — make it count tomorrow, or type /upgrade for unlimited.