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
Hey Allahjakarima, good to see you again. To simplify the expression, we need to find a common denominator for the two fractions. Step 1: Find the least common multiple (LCM) of the denominators 9 and 2. The LCM of 9 and 2 is 18. Step 2: Rewrite each fraction with the common denominator 18. (8y - 9b)/(9) = ((8y - 9b) × 2)/(9 × 2) = (16y - 18b)/(18) (9y)/(2) = (9y × 9)/(2 × 9) = (81y)/(18) Step 3: Add the two fractions. (16y - 18b)/(18) + (81y)/(18) = (16y - 18b + 81y)/(18) Step 4: Combine the like terms in the numerator. ((16y + 81y) - 18b)/(18) = (97y - 18b)/(18) The simplest form of the expression is (97y - 18b)/(18). Comparing this with the given options, it matches option D. The final answer is D: (97y - 18b)/(18). Send me the next one 📸