Copy and complete the multiplication grids

x 2 3 x 6 9

16 3 12

7 56 18

33 36

Starter

7 ÷ 5

Part of a whole: Mixed Number:

Fraction:75

1 25

1 25

Mixed Number to Improper Fraction

125

Converting....

= = 75

=

Convert the following to improper fractions:

113 27

8154a) b) c)

Examples

What is the highest common factor (HCF) of 6 and 8?

12

4

2

10

What is the highest common factor (HCF) of 6 and 8?

12

4

2

10

What is the highest common factor (HCF) of 12 and 16?

48

24

12

4

What is the highest common factor (HCF) of 12 and 16?

48

24

12

4

What is the highest common factor (HCF) of 10 and 25?

5

2.5

10

50

What is the highest common factor (HCF) of 10 and 25?

5

2.5

10

50

What is the highest common factor (HCF) of 24 and 36?

6

24

12

8

What is the highest common factor (HCF) of 24 and 36?

6

24

12

8

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?

Would you rather have

1 4 22 8 4

of a pizza?

1 4 22 8 4

They’re all the same!

We call these equivalent fractions.

915

610

412

26

39

1524

1525

1220

1030

515

2032

2540

1016

618

1830

5080

13

35

58

White board activity

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.

1620

Simplify:What’s the highest common

factor of 16 and 20?

4

So divide both the numerator and denominator

by 4

2456

Simplify:What’s the highest common

factor of 24 and 56?

8

So divide both the numerator and

denominator by 8