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Simplifying Fractions Using GCF Methods

Learn how to simplify fractions by finding the Greatest Common Factor (GCF) of the numerator and denominator. Practice dividing by GCF or using prime factorization with examples. Improve math skills and efficiency with this essential concept.

noelle-mcdowell
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Simplifying Fractions Using GCF Methods

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  1. MJ3 Ch 2.3.2 – Simplifying Fractions (pg. 611)

  2. Bellwork • Please take out your assignment from yesterday and leave it on your desk so that I can check it. • Find the GCF • 6, 18, 40 • 17, 34

  3. Before we begin… • Please take out your notebook and get ready to work… • Yesterday we reviewed how to get the GCF of two or more numbers • Today we will use what we learned about the GCF to simplify fractions….

  4. Objective • Students will simplify fractions using the GCF

  5. Simplifying Fractions • When a rational number is represented by a fraction it is often expressed in simplest form • A fraction is in its simplest form when the GCF of the numerator and denominator is 1 • There are 2 methods to simplify fractions using the GCF • Divide by the GCF • Prime factorization of the numerator and denominator

  6. Dividing by GCF • Demonstrate on board using 30/45

  7. Using Prime Factorization • Demonstrate on board using 30/45

  8. Comments • These are 2 of several strategies that you can use to simplify fractions… • Personally, I do not use either of these methods as I know my multiplication tables…You will make your life easier if you know your multiplication tables by rote memory… • Ultimately, you are required to know how to simplify fractions…you may use whichever method you are most comfortable with…

  9. Your Turn • In the notes section of your notebook simplify the following using either of the methods we discussed today… • 15/30 • 8/48 • 12/36

  10. Assignment • Text p. 611 # 1 - 38

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