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Fractions

Fractions. Reminder and Mixed Fractions. Add & Subtract basic Fractions. Add & Sub Harder Fractions. www.mathsrevision.com. Multiplying Fractions. Dividing Fractions (Extension). Level 4+ Starter. X. www.mathsrevision.com. Mixed Fractions. Learning Intention. Success Criteria.

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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 (Extension) Compiled by Mr. Lafferty Maths Dept.

  2. Level 4+ Starter X www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  3. Mixed Fractions Learning Intention Success Criteria • To know what the terms fraction, top-heavy and mixed fraction are. • To understand 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 A Fraction consists of 2 parts. Top number called the NUMERATOR Bottom number called the DENOMINATOR Compiled by Mr. Lafferty Maths Dept.

  5. 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 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 ‘whole number’ part and a ‘fraction’ part is called a Mixed fraction Fractions Compiled by Mr. Lafferty Maths Dept.

  7. Top Heavy to Mixed means seven thirds Compiled by Mr. Lafferty Maths Dept.

  8. remainder 1 Top Heavy to Mixed NUMERATOR  DENOMINATOR can be written as 7  3 Compiled by Mr. Lafferty Maths Dept.

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

  10. 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 Compiled by Mr. Lafferty Maths Dept.

  11. Mixed Fractions Now try TJ4+ Ex 21.1 Ch21 (page 178) 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 • To know that to add and subtract fractions the denominators must be the same. • To understand 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 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 When dealing with mixed fractions deal with ‘whole’ part first then the fraction part Compiled by Mr. Lafferty Maths Dept.

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

  17. Add / Sub Fractions Now try TJ4+ Ex 21.2 Ch21 (page 179) 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 • Apply ‘ kiss and smile’ method. • To understand how to add and subtract fractions with different denominators. • Convert top heavy fractions to mixed fractions. www.mathsrevision.com • Simplify fractions. Compiled by Mr. Lafferty Maths Dept.

  20. We are going to use the kiss and smile method Harder Fractions How can we add /subtract fractions that have different denominators Step 1 : Do the smile Step 2 : Do the kiss Step 3 : Add/Subtract the numerator and simplify Compiled by Mr. Lafferty Maths Dept.

  21. Harder Fractions Step 1 : Do the smile Step 2 : Do the kiss 4 2 + 8 Example 1 Step 3 : Add/Subtract the numerator and simplify ÷2 ÷2 Compiled by Mr. Lafferty Maths Dept.

  22. Harder Fractions Step 1 : Do the smile Step 2 : Do the kiss 25 6 - 30 Example 1 Step 3 : Add/Subtract the numerator and simplify Compiled by Mr. Lafferty Maths Dept.

  23. Harder Fractions Step 1 : Do the smile Step 2 : Do the kiss 20 18 + 24 Example 1 Step 3 : Add/Subtract the numerator and simplify ÷2 ÷2 Compiled by Mr. Lafferty Maths Dept.

  24. 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 Compiled by Mr. Lafferty Maths Dept.

  25. Harder Fractions 3 4 + 6 Compiled by Mr. Lafferty Maths Dept.

  26. Harder Fractions 21 16 - 24 Compiled by Mr. Lafferty Maths Dept.

  27. Harder Fractions 18 20 + 24 Compiled by Mr. Lafferty Maths Dept.

  28. Most Difficult Fractions 3 8 - 12 Compiled by Mr. Lafferty Maths Dept.

  29. Most Difficult Fractions 3 10 - 15 Compiled by Mr. Lafferty Maths Dept.

  30. Harder Fractions Now try TJ4+ Ex 21.3 Ch21 (page 181) Compiled by Mr. Lafferty Maths Dept.

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

  32. Multiplying Fractions Learning Intention Success Criteria • To know the simply rules for multiplying basic and mixed fractions. 1. To show how to multiply basic and mixed fractions. • Calculate fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  33. Multiplying Fractions Multiply basic fractions 1. Multiply the numerators 2. Multiply the denominators Example 1 Example 2 Compiled by Mr. Lafferty Maths Dept.

  34. Multiplying Fractions Multiplying Mixed Fractions • Make fractions top-heavy 2. Multiply the numerators 3. Multiply the denominators Compiled by Mr. Lafferty Maths Dept.

  35. Multiplying Fractions Example Compiled by Mr. Lafferty Maths Dept.

  36. Multiplying Fractions Example Compiled by Mr. Lafferty Maths Dept.

  37. Multiplying Fractions Now try TJ4+ Ex 21.4 Ch21 (page 183) Compiled by Mr. Lafferty Maths Dept.

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

  39. Dividing Fractions Learning Intention Success Criteria • To know the simply rules for dividing basic and mixed fractions. 1. To show how to divide basic and mixed fractions. • Calculate fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  40. Dividing Fractions 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.

  41. , multiply by Instead of dividing by Dividing Fractions Easy rule to remember is: Example 1 Example 2 Compiled by Mr. Lafferty Maths Dept.

  42. , multiply by Instead of dividing by Dividing Fractions For mixed fractions YOU MUST make them top-heavy first !! Example Compiled by Mr. Lafferty Maths Dept.

  43. Dividing Fractions Example Compiled by Mr. Lafferty Maths Dept.

  44. Dividing Fractions Now try TJ4+ Ex 21.5 Ch21 (page 183) Compiled by Mr. Lafferty Maths Dept.

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