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Equivalent Fractions
Definition of Equivalent Fractions Name the same amount but have different numerators and denominators.
Equivalent Fractions Are sometimes called equal    fractions: two or more fractions that name the same number.
Examples of Equivalent Fractions  1 2 3 = = 2 4 6
When we see a ½ moon, we are also seeing 4/8 of the moon. 1 4 = 2 8
What fraction of a circle is shown?
¾ of a circle!!  3 4
What fraction of the circle is purple?
¼ of the circle is purple!!  1 4
Vocabulary Terms:  Numerator: Shows how many parts we have. (2 parts)  Denominator: Shows how many equal parts the item is divided into. (4 total) Numerator 2 Denominator 4
To Find Equivalent Fractions Multiply the numerator (number on the top) and the denominator (number on the bottom) by the same number. 1 3 3 3 9 3
To Find Equivalent Fractions Divide the numerator(number on the top)and the denominator (number on the bottom) by the same number. 4 4 1 12 3 4
Other Facts About Fractions  Fractions are parts of a whole. They are not indicating how large the whole is.  Rather, they describe what part of the whole is represented. A fraction can be reduced if the numerator and denominator are evenly divisible by the same number. Divide both the numerator and denominator by the same number. The resulting numerator and denominator create the reduced fraction.
The Difference Between a Proper and an Improper Fraction A proper fraction- the numerator is smaller than the denominator indicating a part of a whole.  3 5 An improper fraction- the numerator is larger than the denominator indicating a whole or mixed number.  7 5
When the numerator and the denominator are the same number, then the fraction is 1 whole.  3 1 3 1

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Equivalent fractions

  • 2. Definition of Equivalent Fractions Name the same amount but have different numerators and denominators.
  • 3. Equivalent Fractions Are sometimes called equal fractions: two or more fractions that name the same number.
  • 4. Examples of Equivalent Fractions 1 2 3 = = 2 4 6
  • 5. When we see a ½ moon, we are also seeing 4/8 of the moon. 1 4 = 2 8
  • 6. What fraction of a circle is shown?
  • 7. ¾ of a circle!! 3 4
  • 8. What fraction of the circle is purple?
  • 9. ¼ of the circle is purple!! 1 4
  • 10. Vocabulary Terms: Numerator: Shows how many parts we have. (2 parts) Denominator: Shows how many equal parts the item is divided into. (4 total) Numerator 2 Denominator 4
  • 11. To Find Equivalent Fractions Multiply the numerator (number on the top) and the denominator (number on the bottom) by the same number. 1 3 3 3 9 3
  • 12. To Find Equivalent Fractions Divide the numerator(number on the top)and the denominator (number on the bottom) by the same number. 4 4 1 12 3 4
  • 13. Other Facts About Fractions Fractions are parts of a whole. They are not indicating how large the whole is.  Rather, they describe what part of the whole is represented. A fraction can be reduced if the numerator and denominator are evenly divisible by the same number. Divide both the numerator and denominator by the same number. The resulting numerator and denominator create the reduced fraction.
  • 14. The Difference Between a Proper and an Improper Fraction A proper fraction- the numerator is smaller than the denominator indicating a part of a whole. 3 5 An improper fraction- the numerator is larger than the denominator indicating a whole or mixed number. 7 5
  • 15. When the numerator and the denominator are the same number, then the fraction is 1 whole. 3 1 3 1