1. MTH 3-07b MTH 3-07c MTH 4-07b Fractions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Reminder and Mixed Fractions Add & Subtract basic Fractions Multiplying Fractions Add & Sub Harder Fractions Dividing Fractions

2. MTH 3-07b MTH 3-07c MTH 4-07b Starter Starter 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com X

3. MTH 3-07b MTH 3-07c MTH 4-07b Mixed Fractions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand what the terms fraction, top-heavy and mixed fraction are. 1.We are learning the term Fraction and Mixed Fraction. 2.Convert between top-heavy and mixed fraction. 3.Solve problems involving fractions.

4. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Fraction Reminder A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR MTH 3-07b MTH 3-07c MTH 4-07b

5. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Fractions We can sometimes ‘simplify’ a fraction by dividing by the HCF of the numerator and denominator F15 1 and 15 3 and 5 F27 1 and 27 3 and 9 MTH 3-07b MTH 3-07c MTH 4-07b

6. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. 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 MTH 3-07b MTH 3-07c MTH 4-07b

7. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Top Heavy to Mixed means seven thirds MTH 3-07b MTH 3-07c MTH 4-07b

8. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 7  3 remainder 1 MTH 3-07b MTH 3-07c MTH 4-07b

9. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. NUMERATOR  DENOMINATOR Top Heavy to Mixed can be written as 17  5 remainder 2 MTH 3-07b MTH 3-07c MTH 4-07b

10. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Changing a mixed fraction to a top-heavy. WHOLE NUMBER  DENOMINATOR then add NUMERATOR 5  4  3 7  5  2 Mixed to Top Heavy  23 quarters  37 fifths MTH 3-07b MTH 3-07c MTH 4-07b

11. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch31 (page 128) Mixed Fractions MTH 3-07b MTH 3-07c MTH 4-07b

12. MTH 3-07b MTH 3-07c MTH 4-07b Starter Questions Starter Questions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com 5cm 7cm

13. MTH 3-07b MTH 3-07c MTH 4-07b 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand that to add and subtract fractions the denominators must be the same. 1.We are learning how to add and subtract basic fractions. 2.To be able to do simple fraction calculations. Add / Sub Fractions

14. www.mathsrevision.com 7-Aug-15Compiled 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 MTH 3-07b MTH 3-07c MTH 4-07b

15. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Add Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part MTH 3-07b MTH 3-07c MTH 4-07b

16. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Subtract Fractions When dealing with mixed fractions deal with ‘whole’ part first then the fraction part MTH 3-07b MTH 3-07c MTH 4-07b

17. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch31 (page 131) Add / Sub Fractions MTH 3-07b MTH 3-07c MTH 4-07b

18. MTH 3-07b MTH 3-07c MTH 4-07b Starter Questions Starter Questions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com

19. MTH 3-07b MTH 3-07c MTH 4-07b Harder Fractions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand and apply rules for adding and subtracting fractions. 1.We are learning how to add and subtract fractions with different denominators. 2.Convert top heavy fractions to mixed fractions.

20. www.mathsrevision.com MTH 3-07b MTH 3-07c MTH 4-07b 7-Aug-15Compiled by Mr. Lafferty Maths Dept. 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 Before we can add or subtract they MUST have the same denominator

21. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify MTH 3-07b MTH 3-07c MTH 4-07b LCM of 2 and 4 4 44 + 21 4 3

22. www.mathsrevision.com 1225 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify MTH 3-07b MTH 3-07c MTH 4-07b LCM of 5 and 6 30 30 - 13 30

23. www.mathsrevision.com 910 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions Example 1 Step 1 : Find LCM Step 2 : Equivalent Fractions Step 3 : Add/Subtract the numerator and simplify MTH 3-07b MTH 3-07c MTH 4-07b LCM of 4 and 6 12 12 + 19 12 == 7 1

24. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch31 (page 133) Q1 and Q2 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b

25. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions How can we add /subtract mixed fractions that have different denominators When dealing with mixed fractions deal with ‘whole’ part first then the fraction part Simple ! MTH 3-07b MTH 3-07c MTH 4-07b

26. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b 43 66 + 1 6 1 1 6 1= 5 + 1 6 = 6 7 6 = LCM of 2 and 3 6

27. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b 1621 24 - 5 5 = 3 + 5 = 3 = LCM of 8 and 3 24

28. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b 109 12 + 7 1 7 1= 4 + 7 = 5 19 12 = LCM of 4 and 6 12

29. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch31 (page 134) Q4 to Q8 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b

30. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Most Difficult Fractions MTH 3-07b MTH 3-07c MTH 4-07b 83 12 - = 4 + 7 = 3 = LCM of 4 and 3 12 5 - 5 - = 4 5 - Adding a negative is the same as subtracting

31. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Most Difficult Fractions MTH 3-07b MTH 3-07c MTH 4-07b 103 15 - = 6 + 8 = 5 = LCM of 5 and 3 15 7 - 7 - = 6 7 - Adding a negative is the same as subtracting

32. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch31 (page 134) Q9 to Q15 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b

33. MTH 3-07b MTH 3-07c MTH 4-07b Starter Questions Starter Questions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com

34. MTH 3-07b MTH 3-07c MTH 4-07b Multiplying Fractions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand the simply rules for multiplying basic and mixed fractions. 1.We are learning how to multiply basic and mixed fractions. 2.Apply rules correctly.

35. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example 1 Example 2 Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators MTH 3-07b MTH 3-07c MTH 4-07b

36. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 4 Ch31 (page 136) Q1 to Q4 Multiplying Fractions MTH 3-07b MTH 3-07c MTH 4-07b

37. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions 1.Make fractions top-heavy Multiplying Mixed Fractions 2. Multiply the numerators 3. Multiply the denominators MTH 3-07b MTH 3-07c MTH 4-07b

38. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example MTH 3-07b MTH 3-07c MTH 4-07b 1.Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators

39. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Multiplying Fractions Example MTH 3-07b MTH 3-07c MTH 4-07b 1.Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators

40. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 4 Ch31 (page 136) Q5 to Q10 Multiplying Fractions MTH 3-07b MTH 3-07c MTH 4-07b

41. MTH 3-07b MTH 3-07c MTH 4-07b Starter Questions Starter Questions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com

42. MTH 3-07b MTH 3-07c MTH 4-07b Dividing Fractions 7-Aug-15Compiled by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1. We are learning how to divide basic and mixed fractions. 1.Understand how the simply rules for dividing basic and mixed fractions. 2.Apply rules correctly.

43. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Always = 1 Dividing Fractions It is almost impossible to divide fractions like by actually dividing. Instead we change it into a multiplication by: MTH 3-07b MTH 3-07c MTH 4-07b

44. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Dividing Fractions Easy rule to remember : Example Instead of dividing by, multiply by MTH 3-07b MTH 3-07c MTH 4-07b

45. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 5 Ch31 (page 138) Q1 to Q4 Dividing Fractions MTH 3-07b MTH 3-07c MTH 4-07b

46. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Dividing Fractions For mixed fractions YOU MUST make them top-heavy first !! Example Instead of dividing by, multiply by MTH 3-07b MTH 3-07c MTH 4-07b

47. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Dividing Fractions Example 2 MTH 3-07b MTH 3-07c MTH 4-07b

48. www.mathsrevision.com 7-Aug-15Compiled by Mr. Lafferty Maths Dept. Now try Exercise 5 Ch31 (page 138) Q5 to Q10 Dividing Fractions MTH 3-07b MTH 3-07c MTH 4-07b