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 the solution for the fraction multiplication problem. (14)/(18) × (16)/(2) Step 1: Simplify by cross-cancellation. • We can simplify 14 (numerator of the first fraction) and 2 (denominator of the second fraction) by dividing both by their common factor, 2. 14 ÷ 2 = 7 2 ÷ 2 = 1 The expression becomes: (7)/(18) × (16)/(1) • We can simplify 16 (numerator of the second fraction) and 18 (denominator of the first fraction) by dividing both by their common factor, 2. 16 ÷ 2 = 8 18 ÷ 2 = 9 The expression now becomes: (7)/(9) × (8)/(1) Step 2: Multiply the numerators together and the denominators together. (7 × 8)/(9 × 1) = (56)/(9) Step 3: The fraction (56)/(9) is an improper fraction and is already in its simplest form, as 56 and 9 share no common factors other than 1. The result is (56)/(9). 3 done, 2 left today. You're making progress.