Just a few slides for a GCSE retake group on fractions basics. I've added 'pizza diagrams' at the suggestion of a student (go for it Sundeep).

1. Fractions presentation
Equivalent fractions
Mixed numbers ↔ top heavy fractions
Adding fractions
Multiplying fractions

2. Recap: LCM and HCF
What is LCM of 6 and 9?
What is HCF of 15 and 20?
What is LCM of 2 and 3?
What is HCF of 12 and 8?
What number can 6 and 5 both go into?

3. Recap: LCM and HCF
What is LCM of 6 and 9? 18
What is HCF of 15 and 20? 5
What is LCM of 2 and 3? 6
What is HCF of 12 and 8? 4
What number can 6 and 5 both go into? 30

4. Equivalent fractions

5. =
In symbols?

6. = ?
In symbols?

7. = ?
In symbols?

8. Equivalent fractions quiz
4 8
= =
5 15 12 3

9. Equivalent fractions ans
4 12 8 2
= =
5 15 12 3

10. Equivalent fractions summary

11. Mixed & top heavy

12. Mixed & top heavy
5 1
2
=3 2

13. ? ?
3 =? 3

14. 3
54
Mixed -> top heavy
1. Multiply whole by bottom
2. Add top
3. Put over bottom

15. 23 Top heavy -> Mixed
1. Divide top by bottom
6 2. Answer is whole number
3. Remainder is top
4. Bottom stays same

16. Mixed -> top heavy Top heavy -> Mixed
1. Multiply whole by bottom 1. Divide top by bottom
2. Add top 2. Answer is whole number
3. Put over bottom 3. Remainder is top
4. Bottom stays same

17. Mixed / top heavy quiz...
1 14
74 = =
3
1 17
37 = =
5

18. Mixed / top heavy quiz...
1 29 14 2
74 = 4 =43
3
1 22 17 2
37 = =35
7 5

19. Adding fractions

20. + =
In symbols?

21. + =
In symbols?

22. Rule 1: you can only add the
tops when the bottoms are the
same....

23. + =

24. + =

25. Rule 2 different bottoms:
change one or both fractions
for equivalent fractions where
the bottoms are the same...
...then add tops

26. + =

27. + =
+ =

28. 1 4
3
+ 5 =
5 12
15
+ 15 =

29. Adding fractions quiz
1 1 2 1
2
+ 3 = + 6 =
3

30. Adding fractions ans
1 1 5 2 1 5
2
+ 3 = + 6 = 6
6 3

31. Multiplying fractions

32. 1 1 1
3
× =
4 12
1
3
1
4

33. 2
3
3
4

34. 0: write mixed numbers as top heavy
1: multiply tops to get new top
2: multiply bottoms to get new bottom
3: cancel down as needed...

35. Multiplying fractions quiz
2 1 3 3
3
× =
4 12 5
× 4
=
3 3 1 2
× = 2 2
× 3
=
5 4

36. workshop
Must: “frac-pack”
Should: exam questions
Could: stuff on algebraic fractions