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Algebraic Fractions

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Algebraic Fractions Simplifying What is to be learned? What an algebraic fraction is How to simplify algebraic fractions Fractions with Letters and Numbers Follow the ... – PowerPoint PPT presentation

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Title: Algebraic Fractions


1
Algebraic Fractions
  • Simplifying

2
What is to be learned?
  • What an algebraic fraction is
  • How to simplify algebraic fractions

3
  • Fractions with Letters and Numbers
  • Follow the same rules as normal fractions

4
Simplifying Normal Fractions
  • 6
  • 9
  • Must divide top and bottom by the same

3
2
3
3
5
Dividing By Letters
6 X h
6h
6h h
6
5
t
t
5
4
a
b
b
4a
7mp
mp
7
6
Simplifying algebraic fraction
  • 4h
  • ah
  • 4h
  • ah

h is common factor
h
4
h
a
7
Handy Hint
  • y2 y
  • y X y y
  • y

8
Ex 2
dt is highest common factor
  • 5dt2
  • 3dt

dt
5t
dt
3
9
Ex 3 (tricky!)
  • 15abg
  • 10a2b

5ab
3g
5ab
2a
10
Cancelling
7a
7
4am
4m
3mp
p
a
3am
3
9r2
3r
6r
2
2
11
Using Cancelling
3
  • 18ad2ek
  • 12adky
  • 3de
  • 2y

2
12
Algebraic Fractions
  • Fractions with letters and numbers
  • Same rules as normal fractions
  • Dividing by letters
  • 5a a
  • 7t2 t

5
7t
13
Method 1
3t is highest common factor
  • 9pt2
  • 6dt

3t
3pt
3t
2d
Cancelling
4
8r2
(or just 4r)
4r
2r
1
1
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