Introduction to Fractions

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Introduction to Fractions

• By Graeme Henchel

http//hench-maths.wikispaces.com
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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

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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
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Mixed numbers to improper fractions
Convert whole numbers to thirds
Mixed number
Improper fraction
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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
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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
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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
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1
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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
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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

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Another way of doing this