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**Lesson 4.4 Simplifying Fractions**

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Equivalent Fractions Equivalent fractions _____________ ________________ but use different numbers. Example: _______ and _______

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**How to find equivalent fractions:**

You can find equivalent fractions by ________________ the numerator and denominator by ____________ _______________.

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**Make 2 equivalent fractions for each given fraction.**

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**Factor A number that divides evenly into another. Factors of 24:**

1, 2, 3, 4, 6, 8, 12, 24

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Name the factors: Factors of 10: Factors of 7: Factors of 18:

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Common Factor When two numbers have ___ ___________ it is called a ____________. A common factors of 12 and 6 are _________.

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**Name common factors of:**

15 and 30 12 and 48 3 and 4

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Simplest Form When the only common factor of the numerator and denominator is _____, the fraction is in ____________. 3 1 3 ÷ = 4 1 4

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**Greatest Common Factor**

The greatest common factor is the ______________ shared between two numbers. 12 = 1, 2, 3, 4, 6, 12 18 = 1, 2, 3, 6, 9, 18

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**What is the Greatest Common Factor?**

8 = 16 =

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**How to Find the Simplest Form of a Fraction**

Find the greatest common factor of the numerator and the denominator and divide both the numerator and the denominator by that number. 12 6 2 ÷ = 18 6 3

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**Simplify This Fraction**

9 21 12 20

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**Now let’s toss in some variables and exponents.**

Step 1: Break it down into it’s factors: Step 2: Remove the common factor pairs.

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Let’s do more.

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**Tonight’s Assignment:**

PM 4.4: ALL

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