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Same Amount Different Names

Two cakes can show the same amount of icing even when they are cut into different numbers of equal parts. The fractions that name these amounts are equivalent.

In the picture

  1. Pink icing covering one of two equal parts: one half of the cake.
  2. Pink icing covering two of four equal parts: two quarters of the cake, the same amount as one half.

Examples

  • Half a pizza is the same amount as two quarters of the same pizza.
  • One half of an hour is the same as two quarters of an hour, or 30 minutes.

Quiz: Same Amount Different Names (Age 10)

  1. What are equivalent fractions?

    • Different names for the same amount
    • Always bigger than whole numbers
    • Different names for different amounts
  2. Which fraction is equivalent to 1/2?

    • 1/4
    • 2/4
    • 2/3
  3. If you multiply the top and bottom of a fraction by the same number, what do you get?

    • A fraction equal to zero
    • An equivalent fraction
    • A fraction with a larger amount

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Maths, Age 10