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 addition problems: Problem (18): 10(8)/(10) + 7(7)/(10) Step 1: Add the whole number parts. 10 + 7 = 17 Step 2: Add the fractional parts. (8)/(10) + (7)/(10) = (15)/(10) Step 3: Convert the improper fraction to a mixed number and add it to the sum of the whole numbers. (15)/(10) = 1(5)/(10) 17 + 1(5)/(10) = 18(5)/(10) Step 4: Reduce the fractional part to lowest terms. 18(5)/(10) = 18(5 ÷ 5)/(10 ÷ 5) = 18(1)/(2) (18) 18(1)/(2) Problem (19): 3(6)/(7) + 5(1)/(7) Step 1: Add the whole number parts. 3 + 5 = 8 Step 2: Add the fractional parts. (6)/(7) + (1)/(7) = (7)/(7) Step 3: Convert the improper fraction to a whole number and add it to the sum of the whole numbers. (7)/(7) = 1 8 + 1 = 9 (19) 9 Problem (20): 15(5)/(12) + 15(3)/(12) Step 1: Add the whole number parts. 15 + 15 = 30 Step 2: Add the fractional parts. (5)/(12) + (3)/(12) = (8)/(12) Step 3: Reduce the fractional part to lowest terms. (8)/(12) = (8 ÷ 4)/(12 ÷ 4) = (2)/(3) Step 4: Combine the whole number sum and the reduced fraction. 30 + (2)/(3) = 30(2)/(3) (20) 30(2)/(3) Problem (21): 36(6)/(9) + 48(7)/(9) Step 1: Add the whole number parts. 36 + 48 = 84 Step 2: Add the fractional parts. (6)/(9) + (7)/(9) = (13)/(9) Step 3: Convert the improper fraction to a mixed number and add it to the sum of the whole numbers. (13)/(9) = 1(4)/(9) 84 + 1(4)/(9) = 85(4)/(9) The fractional part is already in lowest terms. (21) 85(4)/(9) Last free one today — make it count tomorrow, or type /upgrade for unlimited.