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
Step 1: Simplify the fractions inside the parentheses. First, find the least common multiple (LCM) of the denominators 21 and 15. 21 = 3 × 7 15 = 3 × 5 LCM(21, 15) = 3 × 5 × 7 = 105. Convert the fractions to have a common denominator of 105: (320)/(21) = (320 × 5)/(21 × 5) = (1600)/(105) (864)/(15) = (864 × 7)/(15 × 7) = (6048)/(105) Step 2: Add the fractions inside the parentheses. (1600)/(105) + (6048)/(105) = (1600 + 6048)/(105) = (7648)/(105) Step 3: Substitute this sum back into the original expression and multiply. (105)/(32) ( (7648)/(105) ) Notice that 105 in the numerator and 105 in the denominator cancel each other out. (1)/(32) × 7648 = (7648)/(32) Step 4: Perform the final division. (7648)/(32) = 239 The final answer is 239. 3 done, 2 left today. You're making progress.