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 problems on the right side of the page: 3. Draw a picture to solve the problem. "Palesa had 1 quarter of the cake. July had 2 eighths of the cake. Who had the most cake?" Step 1: Write down the fractions for each person. Palesa: (1)/(4) of the cake July: (2)/(8) of the cake Step 2: To compare the fractions, find a common denominator. The least common denominator for 4 and 8 is 8. Convert Palesa's fraction to eighths. (1)/(4) = (1 × 2)/(4 × 2) = (2)/(8) Step 3: Compare the fractions. Palesa had (2)/(8) of the cake. July had (2)/(8) of the cake. Since (2)/(8) = (2)/(8), they had the same amount. To draw a picture: You would draw two identical cakes (e.g., two circles or two rectangles). For Palesa's cake, divide it into 4 equal parts and shade 1 part. For July's cake, divide it into 8 equal parts and shade 2 parts. You would see that the shaded areas are the same size. Answer: Palesa and July had the same amount of cake. 4. Divide the circle into eighths. This task requires drawing. You would draw a circle and then divide it into 8 equal segments, like cutting a pizza into 8 slices. 3 done, 2 left today. You're making progress.