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 each fraction. (6)/(5) 6 and 5 have no common factors other than 1, so (6)/(5) is simplified. (4)/(8) = (4 ÷ 4)/(8 ÷ 4) = (1)/(2) (3)/(12) = (3 ÷ 3)/(12 ÷ 3) = (1)/(4) Step 2: Add the simplified fractions (6)/(5) + (1)/(2) + (1)/(4). The least common denominator (LCD) of 5, 2, and 4 is 20. (6)/(5) = (6 × 4)/(5 × 4) = (24)/(20) (1)/(2) = (1 × 10)/(2 × 10) = (10)/(20) (1)/(4) = (1 × 5)/(4 × 5) = (5)/(20) Step 3: Add the fractions. (24)/(20) + (10)/(20) + (5)/(20) = (24 + 10 + 5)/(20) = (39)/(20) (39)/(20)