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Fractions

General. Simplifying Fractions. Fractions. Fractions of a quantity. Finding (Simple) Percentages . More Simple Percentages . Reminder of Mixed Fractions. www.mathsrevision.com. Add & Subtract Fractions. Multiplying Fractions . General. Starter Questions. www.mathsrevision.com. General.

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Fractions

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  1. General Simplifying Fractions Fractions Fractions of a quantity Finding (Simple) Percentages More Simple Percentages Reminder of Mixed Fractions www.mathsrevision.com Add & Subtract Fractions Multiplying Fractions Compiled by Mr. Lafferty Maths Dept.

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

  3. General Fractions Learning Intention Success Criteria • To know what the terms fraction. • To understand the • term Fraction and be able to simplify fraction. • Be able to simply fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  4. Top number is called the numerator 3 5 Bottom number is called the denominator Fractions General A Fraction consists of 2 parts. www.mathsrevision.com The denominator tells us the type of fraction we have The numerator tells us the how many we have Compiled by Mr. Lafferty Maths Dept.

  5. Fractions General Write down the fraction that is shaded in light blue. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  6. Fractions General 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 www.mathsrevision.com x2 x3 Compiled by Mr. Lafferty Maths Dept.

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

  8. Fractions General Now try Ex 1 Ch11(page 126) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  9. General Starter Questions 6cm 10cm www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  10. General Fractions of a quantity Learning Intention Success Criteria • To know the 2 step for finding a fraction of a quantity. • To explain the 2 step process of finding a fraction of a quantity. • Be able to calculate the fraction of a quantity. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  11. Fractions of a quantity General Q. Do the calculations below. of 120 of 120 www.mathsrevision.com Simply divide by the bottom number Compiled by Mr. Lafferty Maths Dept.

  12. Fractions of a quantity General Q. Do the calculation below. of 24 Simply divide by the bottom number Then multiply the answer by top number www.mathsrevision.com Step 1: Step 2: Compiled by Mr. Lafferty Maths Dept.

  13. Fractions of a quantity General Q. Do the calculation below. of 360 Simply divide by the bottom number Then multiply the answer by top number www.mathsrevision.com Step 1: Step 2: Compiled by Mr. Lafferty Maths Dept.

  14. Fractions of a quantity General Now try Ex 2 Ch11 (page 126) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

  16. Simple Percentages General Learning Intention Success Criteria • Calculate basic simple percentages. • To understand how to calculate simple percentages without a calculator. • Show all working. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  17. Simple Percentages General Copy down and learn the following basic percentages www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  18. Percentages General Q. Find 25% of £40 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  19. Percentages General Q. Find 5% of £300 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  20. Percentages General Now try Ex 3 Ch11 (page 128) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

  22. Extended Percentages General Learning Intention Success Criteria • To know the basic percentages. 1. To explain some more basic percentages. • Calculate basic percentage without a calculator. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  23. Extended Percentages General Copy down and learn the following basic percentages www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  24. Extended Percentages General Q. Find 30% of £40 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  25. Extended Percentages General Q. Find 75% of £600 www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  26. Extended Percentages General Now try Ex 4 Ch11 (page 129) www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

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

  28. Add / Sub Fractions General 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.

  29. Top number is called the numerator 3 5 Bottom number is called the denominator Fractions General A Fraction consists of 2 parts. www.mathsrevision.com The denominator tells us the type of fraction we have The numerator tells us the how many we have Compiled by Mr. Lafferty Maths Dept.

  30. 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 General Compiled by Mr. Lafferty Maths Dept.

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

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

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

  34. Mixed to Top Heavy General 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.

  35. Top Heavy to Mixed General Examples Compiled by Mr. Lafferty Maths Dept.

  36. Top Heavy to Mixed General Examples Compiled by Mr. Lafferty Maths Dept.

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

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

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

  40. Mixed Fractions General Now try Extension Booklet Ex 5E (page 46) Compiled by Mr. Lafferty Maths Dept.

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

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

  43. General Harder Fractions Learning Intention Success Criteria • Apply ‘ rules for adding and subtracting fractions. • To understand how to add and subtract fractions with different denominators. 2. Simplify fractions. www.mathsrevision.com Compiled by Mr. Lafferty Maths Dept.

  44. 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.

  45. 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.

  46. 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.

  47. LCM of 4 and 6 24 Harder Fractions MTH 3-07b MTH 3-07c MTH 4-07b Step 1 : Find LCM Step 2 : Equivalent Fractions 20 18 + 24 24 12 24 12 Example 1 Step 3 : Add/Subtract the numerator and simplify 38 19 7 = = 1 Compiled by Mr. Lafferty Maths Dept.

  48. Harder Fractions General 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.

  49. 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.

  50. 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.

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