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 questions: 3. Complete the following using the diagram to guide you: a) One whole is equal to (1)/(2) plus another (1)/(2). 1 = (1)/(2) + (1)/(2) b) One whole is equal to (1)/(4) plus three more (1)/(4)s. 1 = (1)/(4) + (3)/(4) c) One whole is equal to (1)/(8) plus seven more (1)/(8)s. 1 = (1)/(8) + (7)/(8) 4. Draw a picture to solve the following: a) Palesa had 1 quarter of the cake, and July had 2 eighths of the cake. Who had the most cake? Step 1: Convert Palesa's share to eighths to compare with July's share. Palesa's share = (1)/(4) = (1 × 2)/(4 × 2) = (2)/(8) Step 2: Compare Palesa's share with July's share. Palesa had (2)/(8) of the cake. July had (2)/(8) of the cake. Since (2)/(8) = (2)/(8), they had the same amount. (Note: As an AI, I cannot draw a picture, but a visual representation would show two cakes divided into 8 equal parts, with 2 parts shaded for both Palesa and July.) Answer: They had the same amount of cake. b) John had four eighths of the cool drink, and Ben had half of the cool drink. Did they have the same amount of cool drink? Step 1: Convert Ben's share to eighths to compare with John's share. Ben's share = (1)/(2) = (1 × 4)/(2 × 4) = (4)/(8) Step 2: Compare John's share with Ben's share. John had (4)/(8) of the cool drink. Ben had (4)/(8) of the cool drink. Since (4)/(8) = (4)/(8), they had the same amount. (Note: A visual representation would show two containers of cool drink, each divided into 8 equal parts. For John, 4 parts would be shaded. For Ben, 4 parts would also be shaded, representing half.) Answer: Yes, they had the same amount of cool drink. That's 2 down. 3 left today — send the next one.