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Maths Gcse Wjec-Eduqas Higher

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  1. Scatter-Graphs-And-Correlation Wjec-Eduqas Higher
    2 主题
  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
    4 主题
  3. Histograms Wjec-Eduqas Higher
    3 主题
  4. Statistical-Diagrams- Wjec-Eduqas Higher
    6 主题
  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
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  6. Combined-And-Conditional-Probability Wjec-Eduqas Higher
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  7. Tree-Diagrams- Wjec-Eduqas Higher
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  8. Simple-Probability-Diagrams- Wjec-Eduqas Higher
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  9. Introduction-To-Probability Wjec-Eduqas Higher
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  10. Transformations Wjec-Eduqas Higher
    5 主题
  11. Vectors Wjec-Eduqas Higher
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  12. 3D-Pythagoras-And-Trigonometry Wjec-Eduqas Higher
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  13. Sine-Cosine-Rule-And-Area-Of-Triangles- Wjec-Eduqas Higher
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  14. Pythagoras-And-Trigonometry Wjec-Eduqas Higher
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  15. Area-And-Volume-Of-Similar-Shapes Wjec-Eduqas Higher
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  16. Congruence-Similarity-And-Geometrical-Proof Wjec-Eduqas Higher
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  17. Volume-And-Surface-Area- Wjec-Eduqas Higher
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  18. Circles-Arcs-And-Sectors- Wjec-Eduqas Higher
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  19. Area-And-Perimeter- Wjec-Eduqas Higher
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  20. Circle-Theorems Wjec-Eduqas Higher
    7 主题
  21. Bearings-Scale-Drawing-Constructions-And-Loci Wjec-Eduqas Higher
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  22. Angles-In-Polygons-And-Parallel-Lines Wjec-Eduqas Higher
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  23. Symmetry-And-Shapes Wjec-Eduqas Higher
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  24. Exchange-Rates-And-Best-Buys Wjec-Eduqas Higher
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  25. Standard-And-Compound-Units- Wjec-Eduqas Higher
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  26. Direct-And-Inverse-Proportion- Wjec-Eduqas Higher
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  27. Problem-Solving-With-Ratios Wjec-Eduqas Higher
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  28. Ratios Wjec-Eduqas Higher
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  29. Sequences Wjec-Eduqas Higher
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  30. Transformations-Of-Graphs- Wjec-Eduqas Higher
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  31. Graphing-Inequalities- Wjec-Eduqas Higher
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  32. Solving-Inequalities- Wjec-Eduqas Higher
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  33. Real-Life-Graphs Wjec-Eduqas Higher
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  34. Estimating-Gradients-And-Areas-Under-Graphs Wjec-Eduqas Higher
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  35. Equation-Of-A-Circle- Wjec-Eduqas Higher
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  36. Graphs-Of-Functions Wjec-Eduqas Higher
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  37. Linear-Graphs Wjec-Eduqas Higher
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  38. Quadratic-Equations Wjec-Eduqas Higher
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  39. Linear-Equations- Wjec-Eduqas Higher
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  40. Algebraic-Proof Wjec-Eduqas Higher
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  41. Rearranging-Formulae Wjec-Eduqas Higher
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  42. Coordinate-Geometry- Wjec-Eduqas Higher
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  43. Functions Wjec-Eduqas Higher
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  44. Forming-And-Solving-Equations Wjec-Eduqas Higher
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  45. Iteration Wjec-Eduqas Higher
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  46. Simultaneous-Equations Wjec-Eduqas Higher
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  47. Algebraic-Fractions- Wjec-Eduqas Higher
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  48. Completing-The-Square Wjec-Eduqas Higher
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  49. Factorising Wjec-Eduqas Higher
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  50. Expanding-Brackets Wjec-Eduqas Higher
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  51. Algebraic-Roots-And-Indices Wjec-Eduqas Higher
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  52. Introduction-To-Algebra Wjec-Eduqas Higher
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  53. Using-A-Calculator Wjec-Eduqas Higher
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  54. Surds Wjec-Eduqas Higher
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  55. Rounding-Estimation-And-Bounds Wjec-Eduqas Higher
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  56. Fractions-Decimals-And-Percentages Wjec-Eduqas Higher
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  57. Simple-And-Compound-Interest-Growth-And-Decay Wjec-Eduqas Higher
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  58. Percentages Wjec-Eduqas Higher
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  59. Fractions Wjec-Eduqas Higher
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  60. Powers-Roots-And-Standard-Form Wjec-Eduqas Higher
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  61. Prime-Factors-Hcf-And-Lcm- Wjec-Eduqas Higher
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  62. Number-Operations Wjec-Eduqas Higher
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Exam code:C300

Adding & subtracting algebraic fractions

How do I add (or subtract) two algebraic fractions?

  • The rules for adding and subtracting algebraic fractions are the same as they are for fractions with numbers

  • STEP 1
    Find the lowest common denominator (LCD)

    • Sometimes the LCD can be found by multiplying the denominators together

      • E.g. The LCD for the fractions fraction numerator 1 over denominator x plus 2 end fraction and fraction numerator 1 over denominator x plus 5 end fraction is open parentheses x plus 2 close parentheses open parentheses x plus 5 close parentheses

      • Similarly, with numbers, the LCD of 1 half and 1 fifth is 2 × 5 = 10

    • Although multiplying the denominators will always give you a multiple, it is not necessarily the lowest multiple

      • E.g. The LCD for the fractions 1 over x and <img alt=”fraction numerator 1 over denominator 2 x end fraction” data-mathml=”<math ><semantics><mfrac><mn>1</mn><mrow><mn>2</mn><mi>x</mi></mrow></mfrac><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar r

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