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
Hey Shanti, good to see you again. Here are the solutions for the addition problems: a) To add 2(1)/(2) + 3(3)/(4): Step 1: Add the whole numbers and the fractions separately. 2 + 3 = 5 (1)/(2) + (3)/(4) Step 2: Find a common denominator for the fractions. The least common multiple of 2 and 4 is 4. (1)/(2) = (1 × 2)/(2 × 2) = (2)/(4) Step 3: Add the fractions. (2)/(4) + (3)/(4) = (2+3)/(4) = (5)/(4) Step 4: Convert the improper fraction to a mixed number. (5)/(4) = 1(1)/(4) Step 5: Add the sum of the whole numbers to the sum of the fractions. 5 + 1(1)/(4) = 6(1)/(4) The final answer is 6(1)/(4). b) To add 1(3)/(8) + 9(1)/(3): Step 1: Add the whole numbers and the fractions separately. 1 + 9 = 10 (3)/(8) + (1)/(3) Step 2: Find a common denominator for the fractions. The least common multiple of 8 and 3 is 24. (3)/(8) = (3 × 3)/(8 × 3) = (9)/(24) (1)/(3) = (1 × 8)/(3 × 8) = (8)/(24) Step 3: Add the fractions. (9)/(24) + (8)/(24) = (9+8)/(24) = (17)/(24) Step 4: Combine the sum of the whole numbers with the sum of the fractions. 10 + (17)/(24) = 10(17)/(24) The final answer is 10(17)/(24). Send me the next one 📸