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
You're on a roll — let's simplify the expression. The expression is given as: 3x ÷ 15 + x ÷ 15 - 2x ÷ 9 Step 1: Rewrite the division as fractions. (3x)/(15) + (x)/(15) - (2x)/(9) Step 2: Combine the first two terms since they have the same denominator. (3x+x)/(15) - (2x)/(9) (4x)/(15) - (2x)/(9) Step 3: Find the least common multiple (LCM) of the denominators, 15 and 9. The multiples of 15 are 15, 30, 45, 60, ... The multiples of 9 are 9, 18, 27, 36, 45, 54, ... The LCM of 15 and 9 is 45. Step 4: Convert each fraction to have a denominator of 45. For the first term: (4x)/(15) = (4x × 3)/(15 × 3) = (12x)/(45) For the second term: (2x)/(9) = (2x × 5)/(9 × 5) = (10x)/(45) Step 5: Perform the subtraction. (12x)/(45) - (10x)/(45) = (12x - 10x)/(45) (2x)/(45) The simplified expression is (2x)/(45). What's next? Send 'em!