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 — Step 1: Convert the mixed numbers to improper fractions. 1(1)/(2) = ((1 × 2) + 1)/(2) = (3)/(2) 2(1)/(3) = ((2 × 3) + 1)/(3) = (7)/(3) 4(1)/(4) = ((4 × 4) + 1)/(4) = (17)/(4) Step 2: Find the least common multiple (LCM) of the denominators 2, 3, and 4. The LCM of 2, 3, and 4 is 12. Step 3: Convert each fraction to an equivalent fraction with the common denominator 12. (3)/(2) = (3 × 6)/(2 × 6) = (18)/(12) (7)/(3) = (7 × 4)/(3 × 4) = (28)/(12) (17)/(4) = (17 × 3)/(4 × 3) = (51)/(12) Step 4: Add the equivalent fractions. (18)/(12) + (28)/(12) + (51)/(12) = (18 + 28 + 51)/(12) (18 + 28 + 51)/(12) = (97)/(12) Step 5: Convert the improper fraction back to a mixed number. Divide 97 by 12: 97 ÷ 12 = 8 with a remainder of 1 So, (97)/(12) = 8(1)/(12). The sum is 8(1)/(12). Got more? Send 'em!