Today we will add and subtract simple fractions and mixed numbers and write them in simplest form....

$: Today we will add and subtract simple fractions and mixed numbers and write them in simplest form. simple=most basic.$
Today we will add and Today we will add and subtract simple fractions subtract simple fractions and mixed numbers and and mixed numbers and write them in simplest write them in simplest

form.form.

simple=most basicsimple=most basic

We’ve learned how to add and We’ve learned how to add and subtract fractions and mixed subtract fractions and mixed numbers.numbers.We know that :We know that :

4523-

15

15x 5 =

x 3 =x 5 =

x 3 =

10

12

215

2

2

13

15

6

57

7 6

5

2 2

13

15

FactorFactor

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

Factors of 24 are 1,2, 3, 4, Factors of 24 are 1,2, 3, 4, 6, 8, 12 and 24. 6, 8, 12 and 24.

What are the factors of What are the factors of 9?9?

Factors of 9 are 1, 3 and 9.Factors of 9 are 1, 3 and 9.


Factors of 10 are 1, 5 and Factors of 10 are 1, 5 and 10.10.


Factors of 7 are 1 and 7.Factors of 7 are 1 and 7.


Factors of 56 are 1, 2, 4, Factors of 56 are 1, 2, 4, 7, 8, 14, 28, and 56.7, 8, 14, 28, and 56.

Common FactorCommon Factor

When two numbers have When two numbers have the same factor it is called a the same factor it is called a common factor.common factor. A common factor of 12 A common factor of 12 and 6 is 3.and 6 is 3.

Name a Common Factor Name a Common Factor of 9 and 27?of 9 and 27?

1, 3, 9


1, 2, 4


1, 3, 5, 15


1, 2, 3, 4, 6, 12


1, 3, 9,


1, 5, 10


1

Simplest FormSimplest Form

When the only common factor When the only common factor of the numerator and of the numerator and denominator is 1, the fraction is denominator is 1, the fraction is in simplest form.in simplest form.

34

34÷

11 =

Greatest Common Greatest Common FactorFactor

The greatest common The greatest common factor is the largest factor factor is the largest factor 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 = 1, 2, 4, 8 12 = 1, 2, 3, 4, 6, 12


8 = 1, 2, 4, 8 14 = 1, 2, 7,14


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


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


8 = 1, 2, 4, 8 16 = 1, 2, 4, 8, 16


8 = 1, 2, 4, 8 10 = 1, 2, 5, 10


3 = 1, 36 = 1, 2, 3, 6


4 = 1, 2, 46 = 1, 2, 3, 6


7 = 1, 7, 21 = 1, 3, 7, 21


15 = 1, 3, 5, 15 24 = 1, 2, 3, 8, 12, 24

Shortcuts to reducing Shortcuts to reducing fractionsfractions

If the fraction has any zeros, you can If the fraction has any zeros, you can cross out any of the zeros. But you cross out any of the zeros. But you can only cross out any zeros if both can only cross out any zeros if both the numerator and denominator the numerator and denominator have zeros.have zeros.

For example:For example:

1010

100100

= 110

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 or Reduce This Simplify or Reduce This FractionFraction

1218

23

÷ 66

=


921

37

÷ 33

=


1220

35

÷ 44

=


1015

23

÷ 55

=


1016

58

÷ 22

=


1216

34

÷ 44

=


312

14

÷ 33

=


28

14

÷ 22

=


24

12

÷ 22

=


69

23

÷ 33

=


68

34

÷ 22

=

It’s important to know how to reduce It’s important to know how to reduce fractions to their simplest form fractions to their simplest form because…because…

It will be on the CST’s!

It is easier to work with larger parts of fractions that it is to work with smaller parts.

Why else is it important?

What did you learn?What did you learn?

•What are factors?•What are factors of 20 and 30? What is the greatest common factor?•Reduce the fraction 20/100 to lowest terms? •Are there any shortcuts to reducing fractions?

Today we will add and subtract simple fractions and mixed numbers and write them in simplest form....

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