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 for the remaining mixed number addition problems: e) (3)/(4) + 4(1)/(6) Step 1: The whole number is 4. Step 2: Find a common denominator for the fractions (3)/(4) and (1)/(6). The least common multiple of 4 and 6 is 12. (3)/(4) = (3 × 3)/(4 × 3) = (9)/(12) (1)/(6) = (1 × 2)/(6 × 2) = (2)/(12) Step 3: Add the fractions. (9)/(12) + (2)/(12) = (9+2)/(12) = (11)/(12) Step 4: Combine the whole number and the fraction. 4 + (11)/(12) = 4(11)/(12) The final answer is 4(11)/(12). f) 7(1)/(3) + 16(4)/(7) Step 1: Add the whole numbers. 7 + 16 = 23 Step 2: Find a common denominator for the fractions (1)/(3) and (4)/(7). The least common multiple of 3 and 7 is 21. (1)/(3) = (1 × 7)/(3 × 7) = (7)/(21) (4)/(7) = (4 × 3)/(7 × 3) = (12)/(21) Step 3: Add the fractions. (7)/(21) + (12)/(21) = (7+12)/(21) = (19)/(21) Step 4: Combine the whole number and the fraction. 23 + (19)/(21) = 23(19)/(21) The final answer is 23(19)/(21). g) 5(1)/(4) + 10(1)/(3) Step 1: Add the whole numbers. 5 + 10 = 15 Step 2: Find a common denominator for the fractions (1)/(4) and (1)/(3). The least common multiple of 4 and 3 is 12. (1)/(4) = (1 × 3)/(4 × 3) = (3)/(12) (1)/(3) = (1 × 4)/(3 × 4) = (4)/(12) Step 3: Add the fractions. (3)/(12) + (4)/(12) = (3+4)/(12) = (7)/(12) Step 4: Combine the whole number and the fraction. 15 + (7)/(12) = 15(7)/(12) The final answer is 15(7)/(12). h) 4(7)/(10) + 8(1)/(6) Step 1: Add the whole numbers. 4 + 8 = 12 Step 2: Find a common denominator for the fractions (7)/(10) and (1)/(6). The least common multiple of 10 and 6 is 30. (7)/(10) = (7 × 3)/(10 × 3) = (21)/(30) (1)/(6) = (1 × 5)/(6 × 5) = (5)/(30) Step 3: Add the fractions. (21)/(30) + (5)/(30) = (21+5)/(30) = (26)/(30) Step 4: Simplify the fraction. (26)/(30) = (26 ÷ 2)/(30 ÷ 2) = (13)/(15) Step 5: Combine the whole number and the simplified fraction. 12 + (13)/(15) = 12(13)/(15) The final answer is 12(13)/(15). That's 2 down. 3 left today — send the next one.