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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
    the number as the answer.
  • 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.
  • .
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