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Introduction to Fractions

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Simplifying Fractions: Cancelling Simplifying means finding an equivalent fraction with the LOWEST denominator by making a special form of 1 equal to 1 I m the ... – PowerPoint PPT presentation

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Title: Introduction to Fractions


1
Introduction to Fractions
  • By Graeme Henchel

http//hench-maths.wikispaces.com
2
Index
  • What is a fraction?
  • Mixed Numbers method 1
  • Mixed Numbers method 2
  • Equivalent Fractions
  • Special form of one Why
  • Special form of one
  • Finding equivalent fractions
  • Adding Common denominators
  • Adding Different denominators
  • Common denominators 1
  • Common denominators 2
  • ½1/3 with diagram
  • 1/31/4 with diagram
  • ½ 2/5 with diagram
  • 3/72/3 No diagram
  • Adding Mixed Numbers
  • Multiplying Fractions
  • Multiplying Mixed Numbers 1
  • Multiplying Mixed numbers 2
  • Multiplying Mixed diagram
  • Dividing Fractions
  • Fraction Flowchart .ppt
  • Fraction Flowchart .doc
  • Decimal Fractions
  • Fractionlt-gtDecimallt-gt

3
What is a Fraction?
A fraction is formed by dividing a whole into a
number of parts
Im the NUMERATOR. I tell you the number of parts
Im the DENOMINATOR. I tell you the name of part
4
Mixed numbers to improper fractions
Convert whole numbers to thirds
Mixed number
Improper fraction
5
Another Way to change Mixed Numbers to improper
fractions
In short 5x3217
Since 5/51 there are 5 fifths in each whole. So
3 wholes will have 3x515 fifths. Plus the 2
fifths already there makes a total of 15217
fifths
6
Equivalent fractions
An equivalent fraction is one that has the same
value and position on the number line but has a
different denominator
Equivalent fractions can be found by multiplying
by a special form of 1
7
Multiplying By a Special Form of One
Why does it work?
  • Multiplying any number by 1 does not change the
    value 4x14, 9x19 .
  • Any number divided by itself 1.

Multiplying a fraction by a special form of one
changes the numerator and the denominator but
DOES NOT CHANGE THE VALUE
8
1
9
Finding equivalent fractions
Convert 5ths to 20ths
Thats 4 so I must multiply by
What do we multiply 5 by to get a product of 20?
Special form of 1
10
Simplifying Fractions Cancelling
  • Simplifying means finding an equivalent fraction
    with the LOWEST denominator by making a special
    form of 1 equal to 1

1
Another way of doing this
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