1. What do these fractions mean? Do they hold the same value?
Improper fractions
Describe the shaded parts in these shapes as a fraction.
What do these fractions mean?
Do they hold the same value?

2. How can you show diagrammatically?
10 parts out of 10 parts If
= 1
Then, what does mean?
13 parts out of 8 parts
How can you show diagrammatically?
What is the clue to help you decide how many parts there should be in each block?

3. What is the value of the shaded part in each block?
Total shaded parts
How many parts each block should have.
What is the value of the shaded part in each block?

4. + =
Exercise 1:
Show the following improper fractions in diagrams like the one above: 1) 2) 3) 4)
5) Five halves
6) Eight thirds
7) Eleven fifths
8) Forty twelfths

5. Solutions: 5) Five halves 1) 6) Eight thirds 2) 7) Eleven fifths 3) 4)
8) Forty twelfths 1) 2) 3) 4)

6. = 1 + But, = 1 This means we can write as 1
Improper fractions
mixed numbers
and + =
But, = 1
This means we can write as 1 1
In maths, we call a mixed number.
A mixed number is a number made from a WHOLE number and a PROPER fraction.
Exercise 2: Use the diagrammatic answers in Exercise 1
to write all improper fractions as mixed numbers.
Solutions to exercise 2 are on slides 8 and 9.

7. Exercise 4: Write these fractions as mixed numbers:
Can you spot the connection between mixed numbers and improper fractions and vice versa without diagrams? What is it?
Exercise 4: Write these fractions as mixed numbers:
1) 2) 3) 4) 5) 6) 7) 8)
Exercise 5: Write these mixed numbers as fractions:
1) 2) 3) 4) 5) 6) 7) 8)
Exercise 6: Are the following statements true or false? Why?
1) ) ) 4) 5)

8. Solutions to exercise 2 slide 6:+ = 1) 2) 3) 4) + = + = + =

9. + + = + + = + + = + + + = Solutions to exercise 2 slide 6:
5) Five halves
6) Eight thirds
7) Eleven fifths
8) Forty twelfths + + = + + = + + = + + + =