1. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Fractions Lesson 4
Simplifying fractions
MALT©2006 Maths/Fractions Slide Show : Lesson 4

2. MALT©2006 Maths/Fractions Slide Show : Lesson 4
WALT : find an equivalent fraction which uses the lowest numbers.
MALT©2006 Maths/Fractions Slide Show : Lesson 4

3. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Simplifying is like finding an equivalent fraction.
MALT©2006 Maths/Fractions Slide Show : Lesson 4

4. MALT©2006 Maths/Fractions Slide Show : Lesson 4
For example, let’s think of an equivalent fraction for …… 6 10
MALT©2006 Maths/Fractions Slide Show : Lesson 4

5. MALT©2006 Maths/Fractions Slide Show : Lesson 4
So remember, what ever we do to the top number we must do to the bottom number. 6 10
MALT©2006 Maths/Fractions Slide Show : Lesson 4

6. MALT©2006 Maths/Fractions Slide Show : Lesson 4
So here’s an equivalent fraction…… let’s multiply top and bottom by 3…..
times 3 18 30 6 10
times 3
MALT©2006 Maths/Fractions Slide Show : Lesson 4

7. MALT©2006 Maths/Fractions Slide Show : Lesson 4
To simplify a fraction we must change it. 18 30 6 10
MALT©2006 Maths/Fractions Slide Show : Lesson 4

8. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Change it to the smallest numbers possible. 18 30 6 10
Oops, this is not using the smallest numbers
MALT©2006 Maths/Fractions Slide Show : Lesson 4

9. MALT©2006 Maths/Fractions Slide Show : Lesson 4
So let’s try dividing. 6 10
MALT©2006 Maths/Fractions Slide Show : Lesson 4

10. MALT©2006 Maths/Fractions Slide Show : Lesson 4
But by what ? 6 10
MALT©2006 Maths/Fractions Slide Show : Lesson 4

11. MALT©2006 Maths/Fractions Slide Show : Lesson 4
So let’s try dividing.
Divide by 2 6 10
Divide by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

12. MALT©2006 Maths/Fractions Slide Show : Lesson 4
So let’s try dividing.
Divide by 2 3 5 6 10
Divide by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

13. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Yes. We have simplified this fraction. 3 5 6 10
MALT©2006 Maths/Fractions Slide Show : Lesson 4

14. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Here’s another 8 14
MALT©2006 Maths/Fractions Slide Show : Lesson 4

15. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Chat. Think. 8 14
MALT©2006 Maths/Fractions Slide Show : Lesson 4

16. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Can we divide 8 and 14 by 5? NO 8 14
MALT©2006 Maths/Fractions Slide Show : Lesson 4

17. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Can we divide 8 and 14 by 7? NO 8 14
MALT©2006 Maths/Fractions Slide Show : Lesson 4

18. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Can we divide 8 and 14 by 2?
yes 8 14
MALT©2006 Maths/Fractions Slide Show : Lesson 4

19. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Can we divide 8 and 14 by 2?
divide by 2 4 7 8 14
divide by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

20. MALT©2006 Maths/Fractions Slide Show : Lesson 4
And that’s simplifying 4 7 8 14
MALT©2006 Maths/Fractions Slide Show : Lesson 4

21. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Even when large numbers are involved, you still follow the same rules. 18 36
MALT©2006 Maths/Fractions Slide Show : Lesson 4

22. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Even when large numbers are involved, you still follow the same rules.
Let’s try dividing by 2 18 36 9 18
Let’s try dividing by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

23. MALT©2006 Maths/Fractions Slide Show : Lesson 4
But we’re not there yet!
We can simplify further.
We can make these numbers smaller
Let’s try dividing by 2 18 36 9 18
Let’s try dividing by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

24. MALT©2006 Maths/Fractions Slide Show : Lesson 4
What can we divide
9 and 18
by?
Let’s try dividing by 2 18 36 9 18
Let’s try dividing by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

25. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Guess and check
By 4 ?
By 5 ?
Let’s try dividing by 2 18 36 9 18
Let’s try dividing by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

26. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Start with the top number itself.
Let’s try dividing top and bottom
by 9
Let’s try dividing by 2 18 36 9 18
Let’s try dividing by 2
MALT©2006 Maths/Fractions Slide Show : Lesson 4

27. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Start with the top number itself.
Let’s try dividing top and bottom
by 9
Let’s try dividing by 2
Let’s try dividing by 9 18 36 9 18 1 2
Let’s try dividing by 2
Let’s try dividing by 9
MALT©2006 Maths/Fractions Slide Show : Lesson 4

28. MALT©2006 Maths/Fractions Slide Show : Lesson 4
It doesn’t matter how many steps you take.
You keep dividing until you can’t divide any more.
Let’s try dividing by 2
Let’s try dividing by 9 18 36 9 18 1 2
Let’s try dividing by 2
Let’s try dividing by 9
MALT©2006 Maths/Fractions Slide Show : Lesson 4

29. MALT©2006 Maths/fractions Slide Show : Lesson 4
Try these in your jotter 12 27 18 72 32 48 6 12 18 36
(a)
(b)
(c)
(d)
(e) 24 32 15 35 54 81 10 18 4 16
(f)
(g)
(h)
(i)
(j) 4 12 9 36 16 40 10 50 12 36
(k)
(l)
(m)
(n)
(o)
Simplify them
MALT©2006 Maths/fractions Slide Show : Lesson 4

30. MALT©2006 Maths/fractions Slide Show : Lesson 4
answers 4 9 1 4 2 3 1 2 1 2
(a)
(b)
(c)
(d)
(e) 3 4 3 7 2 3 5 9 1 4
(f)
(g)
(h)
(i)
(j) 1 3 1 4 2 5 1 5 1 3
(k)
(l)
(m)
(n)
(o)
answers
MALT©2006 Maths/fractions Slide Show : Lesson 4

31. MALT©2006 Maths/Fractions Slide Show : Lesson 4
Fractions Lesson 4
Simplifying fractions
End of this lesson
MALT©2006 Maths/Fractions Slide Show : Lesson 4