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2. + =

3. + +

6. Now the denominators are different x2x2 x2x2 x2x2 x2x2

7. Now the denominators are different x3x3 x3x3 x4x4 x4x4

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9. 4: 6: 4, 8, 12, 16, 20, 24, … 6, 12, 18, 24, 30, … 9 10 Now the denominators are different Find the LCM of the denominators x3x3 x3x3 x2x2 x2x2

10. © T Madas 8: 12: 8, 16, 24, 32, 40, … 12, 24, 36, … 15 14 Now the denominators are different Find the LCM of the denominators x3x3 x3x3 x2x2 x2x2

11. © T Madas 5: 8: 5, 10, 15, 20, 25, 30, 35, 40, … 8, 16, 24, 32, 40, … 32 15 Now the denominators are different Find the LCM of the denominators x8x8 x8x8 x5x5 x5x5

12. © T Madas 12: 18: 12, 24, 36, 48, 60, … 18, 36, 54, 72, 90, … 15 14 Now the denominators are different Find the LCM of the denominators x3x3 x3x3 x2x2 x2x2

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14. How do we add/subtract mixed numbers? 98 Method 1 x4x4 x4x4 x3x3 x3x3 Method 2 x4x4 x4x4 x3x3 x3x3 3320

15. © T Madas How do we add/subtract mixed numbers? 9 10 Method 1 x2x2 x2x2 x3x3 x3x3 Method 2 x2x2 x2x2 x3x3 x3x3 2134

16. © T Madas How do we add/subtract mixed numbers? x7x7 x7x7 1121 x4x4 x4x4 x3x3 x3x3 5192

17. © T Madas Practice Adding & Subtracting Fractions

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21. Quick Test on Adding & Subtracting Fractions

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26. Three adverts appear on a page of a newspaper. The 1 st advert covers 1 / 4 of the page. The 2 nd advert covers 1 / 8 of the page. The 3 rd advert covers 3 / 16 of the page. What fraction of the page is not covered by adverts? 1414 1818 + + 3 16 = x 2x 2 x 2x 2 x 4x 4 x 4x 4 4 2 + + 3 = 9 If is covered by adverts then is not covered by adverts. 9 7

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28. A rectangle is 6 ⅝ cm long by 3 ½ cm wide. Calculate its perimeter. 6⅝ cm 3½ cm to find the perimeter: 5858 6 1212 3+ 5858 6 1212 3+ + = Method 1 5858 19+ 5858 + = 10 8 19+ = 5454 + = ÷ 2÷ 2 ÷ 2÷ 2 1414 + = 1 1414 20 cm

29. © T Madas A rectangle is 6 ⅝ cm long by 3 ½ cm wide. Calculate its perimeter. 6⅝ cm 3½ cm to find the perimeter: 5858 6 1212 3+ 5858 6 1212 3+ + = Method 2 53 8 7 2 + 8 7272 + + = 106 8 14 2 + x 4x 4 x 4x 4 = 106 8 56 8 + = 162 8 = 2 8 20 1414 cm =

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31. Edmonton is 3⅝ miles away from Southgate. Barnet is 2¾ miles away from Southgate. How much further from Southgate is Edmonton than Barnet? 5858 3 3434 2–= 29 8 11 4 – = 29 8 22 8 – = 7878 x 2x 2 x 2x 2 Edmonton is ⅞ of a mile further from Southgate than Barnet is.

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33. Roulla used half of her exercise book in the autumn term. So far this term she has used a further one sixth of it. 1. What fraction of her exercise book has she used so far? 2. How many pages does her exercise book have if she has 30 pages left? 1212 1616 + x 3x 3 x 3x 3 = 3 6 1 6 + = 4 6 = 2 3 ÷ 2÷ 2 ÷ 2÷ 2 If she has used of her exercise book she must have of it left. If of her exercise book is 30 pages then the entire exercise book must have 90 pages 2 3 1 3 1 3

35. Johnny spent his monthly allowance as follows: of it on lunch and food snacks of it on two music CDs of it on a new book 1. What fraction of his monthly allowance has he got left? 2. If he is left with £6 what is his monthly allowance? 2 5 1 3 1 6 2525 1313 + + 1616 = x 10 x 6x 6 x 6x 6 x 5x 5 x 5x 5 12 30 10 30 + + 5 = 27 30 = 9 10 ÷ 3÷ 3 ÷ 3÷ 3 Johnny has spent of his monthly allowance so he must have of his monthly allowance left. If of his monthly allowance is £6 then his monthly allowance must be £60 9 1 1

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