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Lesson 5-3 Pages 207-209
Simplifying Fractions
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What you will learn!
How to write fractions in simplest form.
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Equivalent fractionsEquivalent fractionsSimplest formSimplest form
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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.
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12124545
Example 1:
Write in simplest form:
==2 2 •• 2 2 •• 3 33 3 •• 3 3 •• 5 5
441515
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40406060
Example 2:
Write in simplest form:
==2 2 •• 2 2 •• 2 2 •• 5 52 2 •• 2 2 •• 3 3 •• 5 5
2233
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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?
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294294 ÷ 2 = 147÷ 2 = 147 ÷ 7 = 21÷ 7 = 21392392 ÷ 2 = 196÷ 2 = 196 ÷ 7 = 28÷ 7 = 28
2121 ÷ 7 = 3÷ 7 = 32828 ÷ 7 = 4÷ 7 = 4
Yes. It is a perfect fifth!
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Page 208
Guided Practice
#’s 4-7
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Pages 207-208 with someone at home and study
examples!
Read:
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Homework: Page 209
#’s 8-28 all
#’s 30-37
Lesson Check 5-3
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5
3
25
15
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Page
575
Lesson 5-3
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Lesson Check 5-3