Lesson 4.4Lesson 4.4Simplifying Simplifying

FractionsFractions

Equivalent FractionsEquivalent Fractions

Equivalent fractions _____________ Equivalent fractions _____________

________________ but use different ________________ but use different

numbers. numbers. Example: _______ and _______Example: _______ and _______

How to find equivalent How to find equivalent fractions:fractions:

You can find equivalent fractions

by ________________ the numerator

and denominator by ____________

_______________.

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

FactorFactor

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

Factors of 24:Factors of 24:

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

Name the factors:Name the factors:

Factors of 10: Factors of 10:

Factors of 7:Factors of 7:

Factors of 18:Factors of 18:

Common FactorCommon Factor

When two numbers have When two numbers have

___ ___________ it is called a ___ ___________ it is called a

____________.____________. A common factors of 12 A common factors of 12 and 6 are _________.and 6 are _________.

Name common factors Name common factors of:of:

•15 and 30

•12 and 48

•3 and 4

Simplest FormSimplest Form

When the only common factor When the only common factor of the numerator and of the numerator and denominator is _____, the denominator is _____, the fraction is in ____________.fraction is in ____________.

34

34÷

11 =

Greatest Common Greatest Common FactorFactor

The greatest common factor The greatest common factor is the ______________ shared is the ______________ shared between two numbers.between two numbers.

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

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

8 =16 =

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

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

1218

23÷

66 =

Simplify This FractionSimplify This Fraction

921

1220

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

Step 1: Break it down into it’s factors:

Step 2: Remove the common factor pairs.

Let’s do more.Let’s do more.

Tonight’s Assignment:Tonight’s Assignment:

PM 4.4: ALLPM 4.4: ALL