1. Compiled by Mr. Lafferty Maths Dept.
Fractions
Simplifying Fractions
Top-Heavy / Mixed Fractions
Add & Subtract basic Fractions
Add & Sub Harder Fractions
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

2. Compiled by Mr. Lafferty Maths Dept.
Starter X
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

3. Compiled by Mr. Lafferty Maths Dept.
Fractions
Learning Intention
Success Criteria
We are learning the
term fraction.
Understand the term fraction.
Be able to simplify a fraction.
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

4. Fraction Reminder A Fraction consists of 2 parts.
Top number called the NUMERATOR
Bottom number called the DENOMINATOR
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

5. Compiled by Mr. Lafferty Maths Dept.
Fractions
Write down the fraction that is shaded in light blue.
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

6. Fractions www.mathsrevision.com
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
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

7. Fractions www.mathsrevision.com
We can sometimes simplify a fraction by finding a HCF
between the numerator and denominator.
Simplify the fractions below : ÷3 ÷2 ÷3 ÷2
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

8. Fractions 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
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

9. Created by Mr. Lafferty Maths Dept.
Fractions
Now try TJ3a
Ex 1
Ch9 (page 78)
22-Feb-19
Created by Mr. Lafferty Maths Dept.

10. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
8cm
1. Calculate the perimeter of the shape.
10cm
2. Name the main parts of a fraction.
3. Change 7% to a decimal.
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

11. Compiled by Mr. Lafferty Maths Dept.
Mixed Fractions
Learning Intention
Success Criteria
We are learning to convert fractions between Top-Heavy and Mixed Fraction.
Understand what the terms fraction, top-heavy and mixed fraction are.
Convert between top-heavy and mixed fraction.
Solve problems involving fractions.
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

12. Fractions 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
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

13. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
means seven thirds
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

14. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
NUMERATOR  DENOMINATOR
can be written as 7  3
remainder 1
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

15. Compiled by Mr. Lafferty Maths Dept.
Top Heavy to Mixed
NUMERATOR  DENOMINATOR
can be written as 17  5
remainder 2
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

16. Mixed to Top Heavy WHOLE NUMBER  DENOMINATOR then add NUMERATOR
Changing a mixed fraction to a top-heavy.
5  4  3
 23 quarters
7  5  2
 37 fifths
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

17. Created by Mr. Lafferty Maths Dept.
Fractions
Now try TJ3a
Ex 2
Ch9 (page 79)
22-Feb-19
Created by Mr. Lafferty Maths Dept.

18. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
5cm
7cm
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

19. Compiled by Mr. Lafferty Maths Dept.
Add / Sub Fractions
Learning Intention
Success Criteria
We are learning how to
add and subtract basic fractions.
Understand that to add and subtract fractions the denominators must be the same.
To be able to do simple fraction calculations.
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

20. Compiled by Mr. Lafferty Maths Dept.
Add / Sub Fractions
You can only add or subtract fractions if:
DENOMINATORS ARE THE SAME NUMBER
Example 1
Example 2
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

21. Add Fractions When dealing with mixed fractions
deal with ‘whole’ part first then the fraction part
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

22. Subtract Fractions When dealing with mixed fractions
deal with ‘whole’ part first then the fraction part
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

23. Created by Mr. Lafferty Maths Dept.
Fractions
Now try TJ3a
Ex 3
Ch9 (page 82)
22-Feb-19
Created by Mr. Lafferty Maths Dept.

24. Compiled by Mr. Lafferty Maths Dept.
Starter Questions
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

25. Compiled by Mr. Lafferty Maths Dept.
Harder Fractions
Learning Intention
Success Criteria
We are learning how to add and subtract fractions with different denominators.
Understand and apply rules for adding and subtracting fractions.
Convert top heavy fractions to mixed fractions.
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

26. Before we can add or subtract they MUST have the same denominator
Harder Fractions
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
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

27. Compiled by Mr. Lafferty Maths Dept.
LCM of 2 and 4 4
Harder Fractions
Example 1
Step 1 : Find LCM
Step 2 : Equivalent
Fractions
Step 3 : Add/Subtract
the numerator
and simplify 2 1 + 4 4 4 3
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

28. Compiled by Mr. Lafferty Maths Dept.
LCM of 5 and 6 30
Harder Fractions
Example 1
Step 1 : Find LCM
Step 2 : Equivalent
Fractions
Step 3 : Add/Subtract
the numerator
and simplify 25 12 - 30 30 13 30
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

29. Compiled by Mr. Lafferty Maths Dept.
LCM of 4 and 6 12
Harder Fractions
Example 1
Step 1 : Find LCM
Step 2 : Equivalent
Fractions
Step 3 : Add/Subtract
the numerator
and simplify 10 9 + 12 12 19 12 7 12 = = 1
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

30. Simple ! Harder Fractions 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
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

31. Compiled by Mr. Lafferty Maths Dept.
LCM of 2 and 3 6
Harder Fractions 1 6 3 4 +
= 5 + 1 6 6 1 6 7 6 1 6
= 6 = 1
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

32. Compiled by Mr. Lafferty Maths Dept.
LCM of 8 and 3 24
Harder Fractions 5 24 21 16 -
= 3 + 24 24 5 24 5 24
= 3 =
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

33. Compiled by Mr. Lafferty Maths Dept.
LCM of 4 and 6 12
Harder Fractions 7 12 9 10 +
= 4 + 1 12 12 7 12 19 12 7 12
= 5 = 1
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

34. Most Difficult Fractions
Adding a negative is the same as subtracting
LCM of 4 and 3 12
Most Difficult Fractions 5 12 - 3 8 -
= 4 + 12 12 5 12 - 7 12 5 12 -
= 4
= 3 =
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

35. Most Difficult Fractions
Adding a negative is the same as subtracting
LCM of 5 and 3 15
Most Difficult Fractions 7 15 - 3 10 -
= 6 + 15 15 7 15 - 8 15 7 15 -
= 6
= 5 =
22-Feb-19
Compiled by Mr. Lafferty Maths Dept.

36. Fractions Now try TJ3a Ex 4 Ch9 (page 84) www.mathsrevision.com
Have you updated your Learning Log ?
Fractions
Now try TJ3a
Ex 4
Ch9 (page 84)
Are you on Target ?
I can ?
22-Feb-19
Created by Mr. Lafferty Maths Dept.