# Lesson 4.4 Simplifying Fractions

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Lesson 4.4 Simplifying Fractions

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

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

Make 2 equivalent fractions for each given fraction.

Factor A number that divides evenly into another. Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24

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

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

Name common factors of:
15 and 30 12 and 48 3 and 4

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

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

What is the Greatest Common Factor?
8 = 16 =

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

Simplify This Fraction
9 21 12 20

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.

Let’s do more.

Tonight’s Assignment:
PM 4.4: ALL