1. Compiled by Mr. Lafferty Maths Dept.
Fractions
Level F
Reminder and Mixed Fractions
Add & Subtract basic Fractions
Add & Sub Harder Fractions
Multiplying Fractions
Dividing Fractions
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

2. Compiled by Mr. Lafferty Maths Dept.
Level F Starter
Level F X
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

3. Compiled by Mr. Lafferty Maths Dept.
Mixed Fractions
Level F
Learning Intention
Success Criteria
To understand the
term Fraction and Mixed Fraction.
To know what the terms fraction, top-heavy and mixed fraction are.
Convert between top-heavy and mixed fraction.
Solve problems involving fractions.
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

4. Fraction Reminder A Fraction consists of 2 parts.
Level F
A Fraction consists of 2 parts.
Top number called the NUMERATOR
Bottom number called the DENOMINATOR
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

5. Fractions We can sometimes ‘simplify’ a fraction by dividing by
Level F
We can sometimes ‘simplify’ a fraction by dividing by
the HCF of the numerator and denominator
F and 15
3 and 5
F and 27
3 and 9
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

6. Fractions A fraction, like, where the numerator is bigger
Level F
A fraction, like, where the numerator is bigger
than the denominator is called a ‘Top-Heavy’ fraction.
A number,like, consisting of
a ‘whole number’ part and a ‘fraction’ part
is called a Mixed fraction
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

7. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
Level F
means seven thirds
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

8. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
Level F
NUMERATOR  DENOMINATOR
can be written as 7  3
remainder 1
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

9. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
Level F
NUMERATOR  DENOMINATOR
can be written as 17  5
remainder 2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

10. Mixed to Top Heavy WHOLE NUMBER  DENOMINATOR then add NUMERATOR
Level F
WHOLE NUMBER  DENOMINATOR
then add NUMERATOR
Changing a mixed fraction to a top-heavy.
5  4  3
 23 quarters
7  5  2
 37 fifths
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

11. Compiled by Mr. Lafferty Maths Dept.
Mixed Fractions
Level F
Now try Exercise 1
Ch31 (page 128)
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

12. Level F Starter Questions
5cm
7cm
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

13. Compiled by Mr. Lafferty Maths Dept.
Add / Sub Fractions
Level F
Learning Intention
Success Criteria
To understand how to
add and subtract basic fractions.
To know that to add and subtract fractions the denominators must be the same.
To be able to do simple fraction calculations.
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

14. Compiled by Mr. Lafferty Maths Dept.
Add / Sub Fractions
Level F
You can only add or subtract fractions if:
DENOMINATORS ARE THE SAME NUMBER
Example 1
Example 2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

15. Add Fractions When dealing with mixed fractions
Level F
When dealing with mixed fractions
deal with ‘whole’ part first then the fraction part
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

16. Subtract Fractions When dealing with mixed fractions
Level F
When dealing with mixed fractions
deal with ‘whole’ part first then the fraction part
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

17. Compiled by Mr. Lafferty Maths Dept.
Add / Sub Fractions
Level F
Now try Exercise 2
Ch31 (page 131)
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

18. Level F Starter Questions
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

19. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F
Learning Intention
Success Criteria
To understand how to add and subtract fractions with different denominators.
Apply ‘ kiss and smile’ method.
Convert top heavy fractions to mixed fractions.
Simplify fractions.
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

20. Harder Fractions We are going to use the kiss and smile method
Level F
How can we add /subtract fractions that have
different denominators
Step 1 : Do the smile
Step 2 : Do the kiss
Step 3 : Add/Subtract
the numerator
and simplify
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

21. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F
Example 1
Step 1 : Do the smile
Step 2 : Do the kiss
Step 3 : Add/Subtract
the numerator
and simplify 4 + 2 8 ÷2 ÷2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

22. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F
Example 1
Step 1 : Do the smile
Step 2 : Do the kiss
Step 3 : Add/Subtract
the numerator
and simplify 25 - 6 30
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

23. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F
Example 1
Step 1 : Do the smile
Step 2 : Do the kiss
Step 3 : Add/Subtract
the numerator
and simplify 20 + 18 24 ÷2 ÷2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

24. Simple ! Harder Fractions
Level F
How can we add /subtract mixed fractions that have
different denominators
Simple !
When dealing with mixed fractions
deal with ‘whole’ part first then the fraction part
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

25. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F 3 + 4 6
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

26. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F 21 - 16 24
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

27. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F 18 + 20 24
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

28. Most Difficult Fractions
Level F 3 - 8 12
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

29. Most Difficult Fractions
Level F 3 - 10 15
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

30. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Level F
Now try Ex 9.1 & 9.2
Ch15 (page 360)
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

31. Level F Starter Questions
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

32. Multiplying Fractions
Level F
Learning Intention
Success Criteria
1. To show how to multiply basic and mixed fractions.
To know the simply rules for multiplying basic and mixed fractions.
Calculate fractions.
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

33. Multiplying Fractions
Level F
Multiply basic fractions
1. Multiply the numerators
2. Multiply the denominators
Example 1
Example 2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

34. Multiplying Fractions
Level F
Multiplying Mixed Fractions
Make fractions top-heavy
2. Multiply the numerators
3. Multiply the denominators
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

35. Multiplying Fractions
Level F
Example 1
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

36. Multiplying Fractions
Level F
Example 2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

37. Multiplying Fractions
Level F
Now try
Ex 10.1 & 10.2
Ch15 (page 363)
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

38. Level F Starter Questions
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

39. Compiled by Mr. Lafferty Maths Dept.
Dividing Fractions
Level F
Learning Intention
Success Criteria
1. To show how to divide basic and mixed fractions.
To know the simply rules for dividing basic and mixed fractions.
Calculate fractions.
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

40. Compiled by Mr. Lafferty Maths Dept.
Dividing Fractions
Level F
It is almost impossible to divide fractions like
by actually dividing.
Instead we change it into a multiplication by:
Always = 1
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

41. Compiled by Mr. Lafferty Maths Dept.
Dividing Fractions
Level F
Easy rule to remember is:
Instead of dividing by
, multiply by
Example 1
Example 2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

42. Dividing Fractions For mixed fractions YOU MUST make them
Level F
For mixed fractions YOU MUST make them
top-heavy first !!
Instead of dividing by
, multiply by
Example 1
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

43. Compiled by Mr. Lafferty Maths Dept.
Dividing Fractions
Level F
Example 2
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.

44. Compiled by Mr. Lafferty Maths Dept.
Dividing Fractions
Level F
Now try
Ex 11.1
Ch15 (page 364)
14-Apr-17
Compiled by Mr. Lafferty Maths Dept.