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Fractions Cancelling Down
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- Slide 1: FRACTIONS
Left click on the mouse to reveal the next section
This presentation will help you to cancel
down fractions to show them in their
lowest form.
Steve Bishop 2004
- Slide 2: Cancelling fractions
To simplify fractions we cancel down to
make them easier to work with.
To cancel we have to divide the top
and bottom numbers of a fraction by
the same number
Steve Bishop 2004
- Slide 3: Cancelling fractions
Example
4
Cancel this fraction
8
First, find the largest number that will
go into 4 and 8
4
Steve Bishop 2004
- Slide 4: Cancelling fractions
Next, we divide the top and the
bottom by 4
4
1
4
2
8 4
Steve Bishop 2004
- Slide 5: Cancelling fractions
41
So,
82
No other number will divide in to the
top or bottom so this is its lowest form.
We say that the fractions are equivalent.
Steve Bishop 2004
- Slide 6: Cancelling fractions
We can also cancel in steps
Example Divide by 5
5 1
1
25 25 5 5
4
100 100 20 20 20
4
Divide by 5
Steve Bishop 2004
- Slide 7: Summary
These fractions are all equivalent fractions
2 4 6 8
3 6 9 12
2
The fractions 4 , 6 , 8 can be cancelled down to
6 9 12 3
2
4 2
For example
3
6 2
We cannot cancel down any further - so we can
stop (it is known as the lowest form).
Steve Bishop 2004
- Slide 8: Now try these
Click on the mouse to reveal the answers.
5 1
1. 20 2 2. 3.
6 3
15 3
3
30 4
8
4. 5. 5 6. 6
8 1 1 2
16 2 4 3
20 9
Steve Bishop 2004
- Slide 9: Now try these
Click on the mouse to reveal the answers.
In a group of 500 people 40 have green eyes.
What fraction of the total has green eyes?
4 2
40 4 2
500 50 25
50 25
Divide by 10 Divide by 2
Steve Bishop 2004
- Slide 10: Now try these
Click on the mouse to reveal the answers.
A total of 60 cars were repaired by a garage in a month.
15 of them were Vauxhalls. What fraction of the total
number repaired were Vauxhalls?
3 1
15 3 1
60 12 4
12 4
Divide by 5 Divide by 3
Steve Bishop 2004
- Slide 11: For further info
Go to:
• BBC Bitesize Maths Revision site
by clicking here:
Steve Bishop 2004