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 completed addition and subtraction boxes: a) Step 1: Calculate the sum for the first row. (5)/(4) + (7)/(4) = (5+7)/(4) = (12)/(4) = 3 Step 2: Calculate the sum for the second row. (3)/(4) + (5)/(4) = (3+5)/(4) = (8)/(4) = 2 Step 3: Calculate the difference for the first column. (5)/(4) - (3)/(4) = (5-3)/(4) = (2)/(4) = (1)/(2) Step 4: Calculate the difference for the second column. (7)/(4) - (5)/(4) = (7-5)/(4) = (2)/(4) = (1)/(2) Step 5: Calculate the value for the bottom-right cell by adding the results from Step 3 and Step 4. (1)/(2) + (1)/(2) = (1+1)/(2) = (2)/(2) = 1 The completed box for (a) is: (5)/(4) & (7)/(4) & 3 \\ (3)/(4) & (5)/(4) & 2 \\ (1)/(2) & (1)/(2) & 1 b) Step 1: Simplify (5)/(20) to (1)/(4). Calculate the sum for the first row. (1)/(5) + (3)/(10) = (2)/(10) + (3)/(10) = (5)/(10) = (1)/(2) Step 2: Calculate the sum for the second row. (3)/(10) + (1)/(4) = (6)/(20) + (5)/(20) = (11)/(20) Step 3: Calculate the difference for the first column. (1)/(5) - (3)/(10) = (2)/(10) - (3)/(10) = -(1)/(10) Step 4: Calculate the difference for the second column. (3)/(10) - (1)/(4) = (6)/(20) - (5)/(20) = (1)/(20) Step 5: Calculate the value for the bottom-right cell by adding the results from Step 3 and Step 4. -(1)/(10) + (1)/(20) = -(2)/(20) + (1)/(20) = -(1)/(20) The completed box for (b) is: (1)/(5) & (3)/(10) & (1)/(2) \\ (3)/(10) & (1)/(4) & (11)/(20) \\ -(1)/(10) & (1)/(20) & -(1)/(20) c) Step 1: Calculate the sum for the first row. (2)/(3) + (4)/(3) = (2+4)/(3) = (6)/(3) = 2 Step 2: Calculate the sum for the second row. (1)/(3) + (2)/(3) = (1+2)/(3) = (3)/(3) = 1 Step 3: Calculate the difference for the first column. (2)/(3) - (1)/(3) = (2-1)/(3) = (1)/(3) Step 4: Calculate the difference for the second column. (4)/(3) - (2)/(3) = (4-2)/(3) = (2)/(3) Step 5: Calculate the value for the bottom-right cell by adding the results from Step 3 and Step 4. (1)/(3) + (2)/(3) = (1+2)/(3) = (3)/(3) = 1 The completed box for (c) is: (2)/(3) & (4)/(3) & 2 \\ (1)/(3) & (2)/(3) & 1 \\ (1)/(3) & (2)/(3) & 1 Send me the next one 📸