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
Step 1: Compare Palesa's and July's cake. Palesa had (1)/(4) of the cake. July had (2)/(8) of the cake. To compare, convert Palesa's fraction to eighths: (1)/(4) = (1 × 2)/(4 × 2) = (2)/(8) Since Palesa had (2)/(8) and July had (2)/(8), they had the same amount. Answer: Neither, they had the same amount of cake. Step 2: Compare John's and Ben's cool drink. John had (4)/(8) of the cool drink. Ben had (1)/(2) of the cool drink. To compare, convert Ben's fraction to eighths: (1)/(2) = (1 × 4)/(2 × 4) = (4)/(8) Since John had (4)/(8) and Ben had (4)/(8), they had the same amount. Answer: Yes, they had the same amount of cool drink. Step 3: Fractions in circles. Divide the circle into eighths: Draw a circle. Draw a vertical line and a horizontal line through the center to divide it into four equal quarters. Then, draw two more diagonal lines through the center, bisecting each quarter. This divides the circle into 8 equal slices. Show one quarter of the circle: In a circle divided into eighths, shade any 2 of the 8 equal slices. Show one half of the circle: In a circle divided into eighths, shade any 4 of the 8 equal slices. That's 2 down. 3 left today — send the next one.