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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 same rules as normal fractions. Simplifying Normal Fractions. 6 9 Must divide top and bottom by the same. ÷ 3.

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Algebraic fractions

Algebraic Fractions

Simplifying


What is to be learned
What is to be learned?

  • What an algebraic fraction is

  • How to simplify algebraic fractions


Fractions with Letters and Numbers

Follow the same rules as normal fractions


Simplifying normal fractions
Simplifying Normal Fractions

6

9

Must divide top and bottom by the same

÷ 3

= 2

3

÷ 3


Dividing by letters
Dividing By Letters

6 X h

= 6h

6h ÷ h

= 6

5

t

÷ t

= 5

a

b

4

÷ b

= 4a

7mp

÷mp

= 7


Simplifying algebraic fraction
Simplifying algebraic fraction

4h

ah

4h

ah

h is common factor

÷ h

= 4

÷ h

a


Handy hint
Handy Hint

y2 ÷ y

y X y ÷ y

= y


Ex 2

dt is highest common factor

5dt2

3dt

÷ dt

= 5t

÷ dt

3


Ex 3 tricky
Ex 3 (tricky!)

15abg

10a2b

÷ 5ab

= 3g

÷ 5ab

2a


Cancelling
Cancelling

= 7

7a

4am

4m

3mp

= p

a

3am

3

9r2

= 3r

6r

2

2


Using cancelling
Using Cancelling

3

18ad2ek

12adky

3de

2y

2


Algebraic fractions1
Algebraic Fractions

  • Fractions with letters and numbers

  • Same rules as normal fractions

    Dividing by letters

    5a ÷ a

    7t2 ÷ t

= 5

= 7t


Method 1
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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