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Equivalent Fractions

This guide delves into equivalent fractions, emphasizing how to raise and reduce fractions. It begins with a real-life scenario in a pizza store to illustrate the concept of fraction multiplication and how to manipulate denominators. Learn how to raise fractions by multiplying both the numerator and denominator with the same factor. Additionally, discover techniques for reducing fractions by identifying the greatest common factor (GCF) to simplify fractions to their lowest terms. Enhance your fraction skills with practical examples and explanations.

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Equivalent Fractions

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  1. Equivalent Fractions Fractions in Lowest Terms and Fractions in Higher Terms 4.5 – 4.6 Mrs. Christman

  2. Pizza

  3. Pizza 3/4 9/12 6/8

  4. Multiply by 1 • 5 x 1 = • 235 x 1 = • 2/3 x 1 = • a x 1 = 5 235 2/3 a

  5. What is 1?

  6. Fractions in the Higher Terms

  7. Raising Fractions • A man walks into the pizza store and orders a medium pizza. • The clerk asks “ Would you like that cut in 8 pieces or 6?” • The man replied “ Make it 6. I don’t think I can eat 8.”

  8. Raising Fractions • To raise fractions make the denominator larger. • Multiply numerator and denominator (top and bottom) of the fraction by the same number. • This is the same thing as multiplying by 1.

  9. Raising Fractions • Multiply numerator and denominator (top and bottom) of the fraction by the same number. • This is the same thing as multiplying by 1.

  10. Raising Fractions • Raise 3/8 to 56ths. • Multiply numerator and denominator (top and bottom) of the fraction by the same number.

  11. Raising Fractions • Raise 3/8 to 56ths. • Multiply numerator and denominator (top and bottom) of the fraction by the same number.

  12. Fractions in Lowest Terms • Opposite of raising. • Make the denominator smaller. • Find the greatest common factor (GCF) • Divide numerator and denominator by the GCF

  13. Reducing Fractions • Might take more than one step. • More than one way. • Divide numerator and denominator by the same number.

  14. Reducing Fractions • Divide numerator and denominator by the same number, GCF

  15. Reducing Fractions • Divide numerator and denominator by the same number.

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