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Complete the equivalent fraction for: j. 1/2 = ?/4 k. 1/2 = ?/8 l. 5/8 = ?/2 m. 1/2 = ?/8 n. 3/4 = ?/8 o. 1/4 = ?/8

Mathematics

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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?"

  1. Write down the fractions for each person.

    Palesa: 14\frac{1}{4} of the cake
    July: 28\frac{2}{8} of the cake

  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.

    14=1×24×2=28\frac{1}{4} = \frac{1 \times 2}{4 \times 2} = \frac{2}{8}
  3. Compare the fractions.

    Palesa had 28\frac{2}{8} of the cake.
    July had 28\frac{2}{8} of the cake.
    Since 28=28\frac{2}{8} = \frac{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.

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