AON: Fractions 1

1. FRACTIONS
Application of Number Unit 1
Leigh McQuaid

2. L E A R N I N G I N T E N T I O N S :
• Recall factors and multiples of a number
• Recognise fractions of shapes
• Write fractions in their simplest form

3. M U LT I P L E S
Multiples of a number are that number times tables.
For example, multiples of 3 are:
3, 6, 9, 12, 15, 18, 21 …....
Work out multiples of 4 by doing times tables:
1 x 4 =
2 x 4 =
3 x 4 =
etc

4. FAC T O R S
Factors of a number are numbers that divide exactly into it.
For example, factors of 10 would be 1, 2, 5 and 10 because:
1 x 10 = 10 2 x 5 = 10 5 x 2 = 10 10 x 1 = 10
Another way of thinking about factors is what times tables a number appear
in, eg. 10 appears in the 2, 5 and 10 times tables.
Find factors of 12 by working out which times tables have 12 in them:

5. H I N T
Multiples always start with the number itself and increase
(they are always bigger than the number)
Factors always start with 1 and go up to the number itself
(they are always smaller than the number)

6. H I N T
Factors and multiples of 2 are always even
Factors and multiples of 10 are always even
Multiples of 5 always end in 5 or 0
Multiples of 10 always end in 0

7. Q U I Z T I M E – FAC T O R S A N D M U LT I P L E S
https://wordwall.net/play/85140/991/
822

8. W H AT A R E F R AC T I O N S ?
The top number on a fraction is the numerator and shows the selected
parts of the shape or number
The bottom number on a fraction is the denominator and shows the total
number of parts
The line in the middle is a divide line
½ 2
/3
3
/4

9. Complete the first column in the page entitled 'Shaded Fractions'

10. S I M P L I F Y I N G F R AC T I O N S
Simplifying fractions can also be known as equivalent fractions because they are exactly
the same.
To simplify a fraction, we must first work what number both numbers can be divided by.
12 can be divided by 2, 3, 4, 6
20 can be divided by 2, 4, 5, 10
Next we choose a number that appears in both lists.
It is best to choose the biggest number in both lists,
in this case 4

11. S I M P L I F Y I N G F R AC T I O N S
12 divide by 4 = 3
20 divide by 4 = 5
3
/5
=

12. S I M P L I F Y I N G F R AC T I O N S
Another way of simplifying fractions is to keep dividing by a smaller
number until you can't any more eg.
12 ÷ 2 = 6 6 ÷ 2 = 3
20 ÷ 2 = 10 10 ÷ 2 = 5
3
/5
=
Just remember, if you
divide the top number by
2, you MUST divide the
bottom number by 2.

13. S I M P L I F Y I N G F R AC T I O N S
Try these examples:
15
/20
6
/36
10
/120
111
/231
Divide by:
5
2 or 3 or 6
2 or 5 or 10
3
Answer:
3
/4
1
/6
1
/12
37
/77

14. Complete the next two columns on the page entitled ' Shaded
fractions'

15. L E A R N I N G I N T E N T I O N S :
• Recall factors and multiples of a number
• Recognise fractions of shapes
• Write fractions in their simplest form