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Fractions

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Fractions

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  1. Fractions Reminder and Mixed Fractions Add & Subtract basic Fractions Add & Sub Harder Fractions www.mathsrevision.com Multiplying Fractions Dividing Fractions Compiled by Mr. Lafferty Maths Dept.

  2. Starter X www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  3. Mixed Fractions Learning Intention Success Criteria • Understand what the terms fraction, top-heavy and mixed fraction are. • We are learning the • term Fraction and Mixed Fraction. • Convert between top-heavy and mixed fraction. www.mathsrevision.com • Solve problems involving fractions. Compiled by Mr. Lafferty Maths Dept.

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

  5. Fractions MTH 3-07b MTH 3-07c MTH 4-07b 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 Compiled by Mr. Lafferty Maths Dept.

  6. A fraction, like, where the numerator is bigger than the denominator is called a ‘Top-Heavy’ fraction. A number like, consisting of a ‘wholenumber’ part and a ‘fraction’ part is called a Mixed fraction Fractions MTH 3-07b MTH 3-07c MTH 4-07b Compiled by Mr. Lafferty Maths Dept.

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

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

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

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

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

  12. Starter Questions 5cm 7cm www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

  14. Add / Sub Fractions MTH 3-07b MTH 3-07c MTH 4-07b You can only add or subtract fractions if: DENOMINATORS ARE THE SAME NUMBER Example 1 Example 2 Compiled by Mr. Lafferty Maths Dept.

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

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

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

  18. Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

  20. 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 Compiled by Mr. Lafferty Maths Dept.

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

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

  23. LCM of 4 and 6 12 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b Step 1 : Find LCM Step 2 : Equivalent Fractions 10 9 + 12 12 12 12 Example 1 Step 3 : Add/Subtract the numerator and simplify 19 7 = = 1 Compiled by Mr. Lafferty Maths Dept.

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

  25. Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b 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 Compiled by Mr. Lafferty Maths Dept.

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

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

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

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

  30. 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 3 8 - = 4 + 12 12 12 12 12 12 5 5 5 7 = 4 = 3 - - - = Compiled by Mr. Lafferty Maths Dept.

  31. 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 3 10 - = 6 + 15 15 15 15 15 15 7 7 7 8 = 6 = 5 - - - = Compiled by Mr. Lafferty Maths Dept.

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

  33. Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  34. Multiplying Fractions Learning Intention Success Criteria • Understand the simply rules for multiplying basic and mixed fractions. 1. We are learning how to multiply basic and mixed fractions. • Apply rules correctly. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  35. 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 Compiled by Mr. Lafferty Maths Dept.

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

  37. 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 Compiled by Mr. Lafferty Maths Dept.

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

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

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

  41. Starter Questions www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  42. Dividing Fractions Learning Intention Success Criteria • Understand how the simply rules for dividing basic and mixed fractions. 1. We are learning how to divide basic and mixed fractions. • Apply rules correctly. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

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

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

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

  47. Dividing Fractions MTH 3-07b MTH 3-07c MTH 4-07b Example 2 Compiled by Mr. Lafferty Maths Dept.

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