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
To evaluate the expression (2)/(4) + (6)/(3) - (7)/(6): Step 1: Simplify the fractions. (2)/(4) = (1)/(2) (6)/(3) = 2 The expression becomes: (1)/(2) + 2 - (7)/(6) Step 2: Find a common denominator for all terms. The denominators are 2, 1 (for the integer 2), and 6. The least common multiple (LCM) of 2, 1, and 6 is 6. Step 3: Convert each term to an equivalent fraction with the common denominator of 6. (1)/(2) = (1 × 3)/(2 × 3) = (3)/(6) 2 = (2 × 6)/(1 × 6) = (12)/(6) (7)/(6) remains as (7)/(6) Step 4: Perform the addition and subtraction with the common denominator. (3)/(6) + (12)/(6) - (7)/(6) = (3 + 12 - 7)/(6) = (15 - 7)/(6) = (8)/(6) Step 5: Simplify the resulting fraction. (8)/(6) = (8 ÷ 2)/(6 ÷ 2) = (4)/(3) = (4)/(3) What's next?