1. Lesson 4.4 Simplifying Fractions

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

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

4. Make 2 equivalent fractions for each given fraction.

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

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

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

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

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

10. 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

11. What is the Greatest Common Factor?
8 =
16 =

12. 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

13. Simplify This Fraction9 21 12 20

14. 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.

15. Let’s do more.

16. Tonight’s Assignment:
PM 4.4: ALL