Simplifying Simplifying Fractions using Fractions using

GCFGCF

FactorFactor A number that A number that divides evenly into divides evenly into another number.another number.

Common FactorCommon Factor

When two When two numbers numbers

have the same have the same factor.factor.

Greatest Common FactorGreatest Common Factor

The The greatest common greatest common factorfactor is the largest factor is the largest factor between two numbers.between two numbers.

12 = 1, 2, 3, 4, 6, 1218 = 1, 2, 3, 6, 9, 18

GCF = 6

What is the Greatest What is the Greatest Common Factor?Common Factor?

8 = 1, 2, 4, 812 = 1, 2, 3, 4, 6, 12

GCF = 4

What is the Greatest What is the Greatest Common Factor?Common Factor?

6 = 1, 2, 3, 6 18 = 1, 2, 3, 6, 9, 15

GCF = 6

Simplest FormSimplest Form When the only common factor of When the only common factor of

the numerator and denominator is the numerator and denominator is 11, the fraction is in , the fraction is in simplest formsimplest form, , or it is or it is reduced to lowest terms.reduced to lowest terms.

34

34÷

11 =

How to Simply a How to Simply a FractionFraction

Find the greatest common Find the greatest common factor of the numerator and the factor of the numerator and the denominator and denominator and divide both by divide both by that numberthat number..

Simplifying a Simplifying a Fraction:Fraction:

1218

23

÷66 =

Simplify:Simplify:

921

37÷ 3

3 =

Simplify:Simplify:

1220

35÷ 4

4 =

Simplify:Simplify:

1015

23÷ 5

5 =

Simplify:Simplify:

1016

58÷ 2

2 =

Simplify:Simplify:

1216

34÷ 4

4 =

Simplify:Simplify:

312

14÷ 3

3 =

Simplify:Simplify:

24

12÷ 2

2 =

Simplify:Simplify:

69

23÷ 3

3 =

Begin working Begin working

on your on your Assignment!Assignment!