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
Here are the solutions to the mixed number problems. a) Step 1: Add the whole numbers and the fractions separately. 6(3)/(10) + 10(1)/(10) = (6+10) + ((3)/(10) + (1)/(10)) Step 2: Perform the additions. 16 + (4)/(10) Step 3: Simplify the fraction. 16 + (2)/(5) = 16(2)/(5) The sum is 16(2)/(5). b) Step 1: Add the whole numbers and the fractions separately. 2(5)/(12) + 9(8)/(12) = (2+9) + ((5)/(12) + (8)/(12)) Step 2: Perform the additions. 11 + (13)/(12) Step 3: Convert the improper fraction to a mixed number and add it to the whole number. 11 + 1(1)/(12) = 12(1)/(12) The sum is 12(1)/(12). c) Step 1: Add the whole numbers and the fractions separately. 1(1)/(6) + 2(2)/(6) + 3(1)/(6) = (1+2+3) + ((1)/(6) + (2)/(6) + (1)/(6)) Step 2: Perform the additions. 6 + (4)/(6) Step 3: Simplify the fraction. 6 + (2)/(3) = 6(2)/(3) The sum is 6(2)/(3). d) Step 1: Add the whole numbers and the fractions separately. 4(2)/(8) + 4(5)/(8) + 4(3)/(8) = (4+4+4) + ((2)/(8) + (5)/(8) + (3)/(8)) Step 2: Perform the additions. 12 + (10)/(8) Step 3: Convert the improper fraction to a mixed number. 12 + 1(2)/(8) Step 4: Simplify the fraction and add to the whole number. 12 + 1(1)/(4) = 13(1)/(4) The sum is 13(1)/(4). e) The student's work is: 8(3)/(4) - 2(1)/(4) = 6(2)/(4) = 6(1)/(2) Step 1: Subtract the whole numbers: 8 - 2 = 6. Step 2: Subtract the fractions: (3)/(4) - (1)/(4) = (2)/(4). Step 3: Combine the whole number and fraction: 6(2)/(4). Step 4: Simplify the fraction: (2)/(4) = (1)/(2). The final answer is 6(1)/(2). ✅ Correct. Send me the next one 📸