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Simplifying Fractions: Learning to Write in Simplest Form

In this lesson, we will explore how to simplify fractions and express them in their simplest form. You will learn that equivalent fractions are fractions that have the same value, and a fraction is considered in simplest form when the greatest common factor (GCF) of the numerator and denominator is 1. Through guided practice and examples, you will gain insights on how to determine if two musical notes constitute a perfect fifth based on their frequencies. Prepare for homework exercises to reinforce your understanding!

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Simplifying Fractions: Learning to Write in Simplest Form

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Presentation Transcript

  1. Lesson 5-3 Pages 207-209 Simplifying Fractions

  2. What you will learn! How to write fractions in simplest form.

  3. Vocabulary

  4. What you really need to know! Fractions that have the same value are called equivalent fractions. A fraction is in simplest form when the GCF of the numerator and denominator is 1.

  5. Example 1: Write in simplest form:

  6. Example 2: Write in simplest form:

  7. Example 3: Two notes form a perfect fifth if the simplified fraction of the frequencies of the notes equals ¾ . If note D = 294 Hertz and note G = 392 Hertz, do they form a perfect fifth?

  8. Yes. It is a perfect fifth!

  9. Page 208 Guided Practice #’s 4-7

  10. Read: Pages 207-208 with someone at home and study examples!

  11. Homework: Page 209 #’s 8-28 all #’s 30-37 Lesson Check 5-3

  12. Page 575 Lesson 5-3

  13. Lesson Check 5-3

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