Algebraic Fractions

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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
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