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
Right Anil, let's go. Here are the solutions for the fraction multiplication problems. Problem 1: (8)/(12) × (14)/(22) Step 1: Simplify each fraction by dividing the numerator and denominator by their greatest common factor. For (8)/(12), the greatest common factor of 8 and 12 is 4. (8 ÷ 4)/(12 ÷ 4) = (2)/(3) For (14)/(22), the greatest common factor of 14 and 22 is 2. (14 ÷ 2)/(22 ÷ 2) = (7)/(11) Step 2: Multiply the simplified fractions. (2)/(3) × (7)/(11) = (2 × 7)/(3 × 11) = (14)/(33) The result for the first problem is (14)/(33). Problem 2: (22)/(45) × (4)/(18) Step 1: Simplify by cross-cancellation. Find common factors between a numerator and a denominator across the multiplication sign. We can simplify 22 (numerator of the first fraction) and 18 (denominator of the second fraction) by dividing both by their common factor, 2. 22 ÷ 2 = 11 18 ÷ 2 = 9 The expression now becomes: (11)/(45) × (4)/(9) There are no further common factors between the numerators (11, 4) and the denominators (45, 9). Step 2: Multiply the numerators together and the denominators together. (11 × 4)/(45 × 9) = (44)/(405) The result for the second problem is (44)/(405). Send me the next one 📸