1. Compiled by Mr. Lafferty Maths Dept.
Fractions
General
Simplifying Fractions
Fractions of a quantity
Finding (Simple) Percentages
More Simple Percentages
Reminder of Mixed Fractions
Add & Subtract Fractions
Multiplying Fractions
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

2. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

3. Compiled by Mr. Lafferty Maths Dept.
Fractions
General
Learning Intention
Success Criteria
To understand the
term Fraction and be able to simplify fraction.
To know what the terms fraction.
Be able to simply fractions.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

4. Compiled by Mr. Lafferty Maths Dept.
Fractions
General
A Fraction consists of 2 parts.
Top number is called the numerator 3 5
Bottom number is called the denominator
The denominator tells us the type of fraction we have
The numerator tells us the how many we have
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

5. Compiled by Mr. Lafferty Maths Dept.
Fractions
General
Write down the fraction that is shaded in light blue.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

6. Fractions www.mathsrevision.com
General
It is possible to find a fraction equivalent to any
fraction that you have by multiplying the numerator
and the denominator by any number.
Find a fraction equivalent to : x2 x3 x2 x3
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

7. Fractions www.mathsrevision.com
General
We can sometimes simplify a fraction by finding a HCF
between the numerator and denominator.
Simplify the fractions below : ÷3 ÷2 ÷3 ÷2
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

8. Compiled by Mr. Lafferty Maths Dept.
Fractions
General
Now try Ex 1
Ch11(page 126)
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

9. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
6cm
10cm
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

10. Fractions of a quantity
General
Learning Intention
Success Criteria
To explain the 2 step process of finding a fraction of a quantity.
To know the 2 step for finding a fraction of a quantity.
Be able to calculate the fraction of a quantity.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

11. Fractions of a quantity
General
Q. Do the calculations below.
of 120
of 120
Simply divide by the bottom number
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

12. Fractions of a quantity
General
Q. Do the calculation below.
of 24
Simply divide by the bottom number
Then multiply the answer by top number
Step 1:
Step 2:
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

13. Fractions of a quantity
General
Q. Do the calculation below.
of 360
Simply divide by the bottom number
Then multiply the answer by top number
Step 1:
Step 2:
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

14. Fractions of a quantity
General
Now try Ex 2
Ch11 (page 126)
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

15. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

16. Compiled by Mr. Lafferty Maths Dept.
Simple Percentages
General
Learning Intention
Success Criteria
To understand how to calculate simple percentages without a calculator.
Calculate basic simple percentages.
Show all working.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

17. Compiled by Mr. Lafferty Maths Dept.
Simple Percentages
General
Copy down and learn the following basic percentages
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

18. Compiled by Mr. Lafferty Maths Dept.
Percentages
General
Q. Find 25% of £40
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

19. Compiled by Mr. Lafferty Maths Dept.
Percentages
General
Q. Find 5% of £300
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

20. Compiled by Mr. Lafferty Maths Dept.
Percentages
General
Now try Ex 3
Ch11 (page 128)
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

21. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

22. Compiled by Mr. Lafferty Maths Dept.
Extended Percentages
General
Learning Intention
Success Criteria
1. To explain some more basic percentages.
To know the basic percentages.
Calculate basic percentage without a calculator.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

23. Compiled by Mr. Lafferty Maths Dept.
Extended Percentages
General
Copy down and learn the following basic percentages
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

24. Compiled by Mr. Lafferty Maths Dept.
Extended Percentages
General
Q. Find 30% of £40
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

25. Compiled by Mr. Lafferty Maths Dept.
Extended Percentages
General
Q. Find 75% of £600
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

26. Compiled by Mr. Lafferty Maths Dept.
Extended Percentages
General
Now try Ex 4
Ch11 (page 129)
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

27. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

28. Compiled by Mr. Lafferty Maths Dept.
Add / Sub Fractions
General
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.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

29. Compiled by Mr. Lafferty Maths Dept.
Fractions
General
A Fraction consists of 2 parts.
Top number is called the numerator 3 5
Bottom number is called the denominator
The denominator tells us the type of fraction we have
The numerator tells us the how many we have
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

30. Fractions A fraction, like, where the numerator is bigger
General
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
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

31. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
General
means seven thirds
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

32. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
General
NUMERATOR  DENOMINATOR
can be written as 7  3
remainder 1
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

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

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

35. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
General
Examples
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

36. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
General
Examples
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

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

38. Add Fractions When dealing with mixed fractions
General
When dealing with mixed fractions
deal with ‘whole’ part first then the fraction part
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

39. Subtract Fractions When dealing with mixed fractions
General
When dealing with mixed fractions
deal with ‘whole’ part first then the fraction part
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

40. Compiled by Mr. Lafferty Maths Dept.
Mixed Fractions
General
Now try
Extension Booklet
Ex 5E (page 46)
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

41. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
5cm
7cm
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

42. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

43. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
General
Learning Intention
Success Criteria
To understand how to add and subtract fractions with different denominators.
Apply ‘ rules for adding and subtracting fractions.
2. Simplify fractions.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

44. Before we can add or subtract they MUST have the same denominator
Harder Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
How can we add or subtract fractions that have
different denominators
Step 1 : Find the LCM for the denominators
Step 2 : Convert to equivalent fractions
Step 3 : Add or Subtract the numerator
and simplify
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

45. Compiled by Mr. Lafferty Maths Dept.
LCM of 2 and 4 4
Harder Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
Example 1
Step 1 : Find LCM
Step 2 : Equivalent
Fractions
Step 3 : Add/Subtract
the numerator
and simplify 2 1 + 4 4 4 3
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

46. Compiled by Mr. Lafferty Maths Dept.
LCM of 5 and 6 30
Harder Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
Example 1
Step 1 : Find LCM
Step 2 : Equivalent
Fractions
Step 3 : Add/Subtract
the numerator
and simplify 25 12 - 30 30 13 30
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

47. Compiled by Mr. Lafferty Maths Dept.
LCM of 4 and 6 24
Harder Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
Example 1
Step 1 : Find LCM
Step 2 : Equivalent
Fractions
Step 3 : Add/Subtract
the numerator
and simplify 20 18 + 24 24 38 24 19 12 7 12 = = 1
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

48. Simple ! Harder Fractions
General
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
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

49. Compiled by Mr. Lafferty Maths Dept.
LCM of 2 and 3 6
Harder Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b 1 6 3 4 +
= 5 + 1 6 6 1 6 7 6 1 6
= 6 = 1
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

50. Compiled by Mr. Lafferty Maths Dept.
LCM of 8 and 3 24
Harder Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b 5 24 21 16 -
= 3 + 24 24 5 24 5 24
= 3 =
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

51. Compiled by Mr. Lafferty Maths Dept.
LCM of 4 and 6 12
Harder Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b 7 12 9 10 +
= 4 + 1 12 12 7 12 19 12 7 12
= 5 = 1
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

52. Most Difficult Fractions
Adding a negative is the same as subtracting
LCM of 4 and 3 12
Most Difficult Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b 5 12 - 3 8 -
= 4 + 12 12 5 12 - 7 12 5 12 -
= 4
= 3 =
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

53. Most Difficult Fractions
Adding a negative is the same as subtracting
LCM of 5 and 3 15
Most Difficult Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b 7 15 - 3 10 -
= 6 + 15 15 7 15 - 8 15 7 15 -
= 6
= 5 =
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

54. Multiplying Fractions
General
Now try
Extension Booklet Ex 6E (page 48)
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

55. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
General
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

56. Multiplying Fractions
General
Learning Intention
Success Criteria
1. To show how to multiply basic fractions.
To know the simply rule for multiplying basic fractions.
Apply fraction rules correctly.
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

57. Multiplying Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
Multiply basic fractions
1. Multiply the numerators
2. Multiply the denominators
Example 1
Example 2
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

58. Multiplying Fractions
General
Multiplying basic fractions
Example 3
Example 4
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

59. Multiplying Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
Multiplying Mixed Fractions
Make fractions top-heavy
2. Multiply the numerators
3. Multiply the denominators
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

60. Multiplying Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
Example
Make fractions top-heavy
2. Multiply the numerators
3. Multiply the denominators
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

61. Multiplying Fractions
MTH 3-07b
MTH 3-07c
MTH 4-07b
Example
Make fractions top-heavy
2. Multiply the numerators
3. Multiply the denominators
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.

62. Multiplying Fractions
General
Now try
Extension Booklet Ex 7E (page 50)
5-Apr-17
Compiled by Mr. Lafferty Maths Dept.