Lesson 5-3 Pages 207-209

Simplifying Fractions

What you will learn!

How to write fractions in simplest form.

Equivalent fractionsEquivalent fractionsSimplest formSimplest form

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.

12124545

Example 1:

Write in simplest form:

==2 2 •• 2 2 •• 3 33 3 •• 3 3 •• 5 5

441515

40406060

Example 2:

Write in simplest form:

==2 2 •• 2 2 •• 2 2 •• 5 52 2 •• 2 2 •• 3 3 •• 5 5

2233

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?

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!

Page 208

Guided Practice

#’s 4-7

Pages 207-208 with someone at home and study

examples!

Read:

Homework: Page 209

#’s 8-28 all

#’s 30-37

Lesson Check 5-3

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Lesson 5-3

Lesson Check 5-3