Mon Prof Augmenté
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.
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In the picture
- Pink icing covering one of two equal parts: one half of the cake.
- 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.
Key takeaways
- Equivalent fractions are different names for the same amount.
- Multiplying or dividing the top and bottom by the same number gives an equivalent fraction.
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