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Palesa had 1 quarter of the cake, and July had 2 eighths of the cake. Who had the most cake?

Mathematics

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Step-by-step solution

3 steps
  1. Compare Palesa's and July's cake.

    Palesa had 14\frac{1}{4} of the cake. July had 28\frac{2}{8} of the cake.
    To compare, convert Palesa's fraction to eighths:

    14=1×24×2=28\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}

    Since Palesa had 28\frac{2}{8} and July had 28\frac{2}{8}, they had the same amount.
    Answer: Neither, they had the same amount of cake.\boxed{\text{Neither, they had the same amount of cake.}}

  2. Compare John's and Ben's cool drink.

    John had 48\frac{4}{8} of the cool drink. Ben had 12\frac{1}{2} of the cool drink.
    To compare, convert Ben's fraction to eighths:

    12=1×42×4=48\frac{1}{2} = \frac{1 \times 4}{2 \times 4} = \frac{4}{8}

    Since John had 48\frac{4}{8} and Ben had 48\frac{4}{8}, they had the same amount.
    Answer: Yes, they had the same amount of cool drink.\boxed{\text{Yes, they had the same amount of cool drink.}}

  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.
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