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## Fractions

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### Title: Fractions Author: H L Last modified by: Becky Created Date: 10/25/2009 6:35:09 PM Document presentation format: On-screen Show (4:3) Other titles – PowerPoint PPT presentation

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Title: Fractions

1
Fractions
2
What are Fractions?
• A Fraction is a Rational Number.
• A Rational Number is any number that can be
expressed in the form

a b
3
What are Fractions?
• Many students think of fractions as parts of a
whole.

4
What are Fractions?
• Some also think of a ratio.
• I missed 4 out of 10 problems.

5
What are Fractions?
• Math teachers think of Fractions as Division
Problems.
• 0.5
• 1.0
• 10
• 0

1 2

6
Label the parts of a Fraction
• Numerator
• Denominator
• The line between the Numerator and Denominator is
called a Solidus. For now, it means divided by.

7
Students have trouble with Fractions.
• What are equivalent fractions?
• Fraction Fish will help here.
• How do you simplify fractions?
• Guess and Check Method.
• Greatest Common Factor Method.

8
Equivalent Fractions
• Any time you multiply any number by 1, you get
• For example 5 1 5
• Think for a minute Isnt 2/2 1? How about
3/3?
• So 5 2 10 or 5
• 2 2

9
Fraction Fish
1 2
2 4
4 8
8 16
16 32

10
Your turn to make an Equivalent Fraction.
• 2/3
• ¾
• 1/8
• 9/16

11
How do we simplify Fractions?
• Guess and Check Method
• Remember, if we multiply the numerator and
denominator of a fraction by the same number, we
do not change the value of the fraction.
• If we divide the numerator and denominator by 2,
isnt that the same as multiplying by ½?
• Therefore, we can divide the numerator and
denominator by the same number and not change the
value of the fraction.
• Do this until you cant do it anymore.

12
How do we simplify Fractions?
• Greatest Common Factor Method (GCF)
• Find the factors the numerator and denominator.
• 9 ( 1 , 3, 9)
• 27 (1, 3, 9, 27)
• Find the largest factor (GCF) in both list.
• Divide both the numerator and denominator by the
GCF.
• 9 9 1
• 27 9 3

13
Find the GCF for the following pairs of numbers.
• 6 and 12
• 6 and 8
• 3 and 12
• 3 and 4

14
I understand that you dont like GCF. I didnt
like to use it either.
• I can show you a way to factor the numbers if you
want to do it that way.
• 8
24
• 2 4
3 8
• 2 2
2 4

• 2 2
• 8 2 x 2 x 2 1
• 24 3 x 2 x 2 x 2 3

15
Simplify the following fractions.
• 7/14
• 8/24
• 4/6
• 6/8

16
Homework.
• .