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: Convert mixed numbers to improper fractions. 5 (2)/(5) = (5 × 5 + 2)/(5) = (25 + 2)/(5) = (27)/(5) 9 (3)/(7) = (9 × 7 + 3)/(7) = (63 + 3)/(7) = (66)/(7) Step 2: Find common denominator (LCM of 5 and 7 is 35). (27)/(5) = (27 × 7)/(5 × 7) = (189)/(35) (66)/(7) = (66 × 5)/(7 × 5) = (330)/(35) Step 3: Add the fractions. (189)/(35) + (330)/(35) = (189 + 330)/(35) = (519)/(35) Step 4: Convert improper fraction to mixed number. 519 ÷ 35 = 14 remainder 519 - 35 × 14 = 519 - 490 = 29 (519)/(35) = 14 (29)/(35) 14 (29)/(35)