Converting improper fractions to mixed numbers and vise versa. introducing how to simplify fractions.

1. Copy and complete the multiplication grids
x 2 3 x 6 9
16 3 12
7 56 18
33 36

2. 7 ÷
5
Part of a whole: Mixed Number:
Fraction:
7
5
1
2
5
1
2
5

3. Mixed Number to Improper Fraction
12
5
Converting....
= = 7
5
=
Convert the following to improper fractions:
1
1
3
2
7
8
15
4
a) b) c)

6. What is the highest common factor
(HCF) of 6 and 8?
12
4
2
10

7. What is the highest common factor
(HCF) of 6 and 8?
12
4
2
10

8. What is the highest common factor
(HCF) of 12 and 16?
48
24
12
4

9. What is the highest common factor
(HCF) of 12 and 16?
48
24
12
4

10. What is the highest common factor
(HCF) of 10 and 25?
5
2.5
10
50

11. What is the highest common factor
(HCF) of 10 and 25?
5
2.5
10
50

12. What is the highest common factor
(HCF) of 24 and 36?
6
24
12
8

13. What is the highest common factor
(HCF) of 24 and 36?
6
24
12
8

14. How does this help us with fractions?
We are going to simplify fractions later on.
To do this, we need to divide both the numerator and the
denominator by their highest common factor (HCF).
Why do we need HCF?

15. Would you rather have
1 4 2
2 8 4
of a pizza?

16. 1 4 2
2 8 4
They’re all the same!
We call these equivalent fractions.

17. 9
15
6
10
4
12
2
6
3
9
15
24
15
25
12
20
10
30
5
15
20
32
25
40
10
16
6
18
18
30
50
80
1
3
3
5
5
8
White board activity

18. Learning outcomes
• All – Will be able to change an improper fraction to a mixed number.
• Most – Identify equivalent fractions.
• Some – Simplify fractions by cancelling common factors.

19. 16
20
Simplify:
What’s the highest common
factor of 16 and 20?
4
So divide both the numerator
and denominator by 4

20. 24
56
Simplify:
What’s the highest common
factor of 24 and 56?
8
So divide both the
numerator and denominator
by 8