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Maths Gcse Wjec-Eduqas Higher

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  2. Cumulative-Frequency-And-Box-Plots Wjec-Eduqas Higher
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  3. Histograms Wjec-Eduqas Higher
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  4. Statistical-Diagrams- Wjec-Eduqas Higher
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  5. Averages-Ranges-And-Data Wjec-Eduqas Higher
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  7. Tree-Diagrams- Wjec-Eduqas Higher
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  9. Introduction-To-Probability Wjec-Eduqas Higher
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  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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  40. Algebraic-Proof 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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  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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  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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  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

Solving algebraic fractions

How do I solve an equation that contains algebraic fractions?

  • There are two methods for solving equations that contain algebraic fractions

  • One method is to add or subtract the algebraic fractions first and then solve as usual

    • For example, to solve fraction numerator 8 over denominator x plus 1 end fraction minus fraction numerator 5 over denominator x plus 2 end fraction equals 1

    • First subtract the fractions and simplify, fraction numerator 3 x plus 11 over denominator open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses end fraction equals 1

    • Then cross-multiply, expand and solve

      <img alt=”table row cell 3 x plus 11 end cell equals cell 1 open parentheses x plus 1 close parentheses open parentheses x plus 2 close parentheses end cell row cell 3 x plus 11 end cell equals cell x squared plus 3 x plus 2 end cell row 0 equals cell x squared minus 9 end cell row 0 equals cell open parentheses x minus 3 close parentheses open parentheses x plus 3 close parentheses end cell row x equals cell 3 space or space x equals negative 3 end cell end table” data-mathml=”<math ><semantics><mtable columnspacing=”0px” columnalign=”right center left”><mtr><mtd><mn>3</mn><mi>x</mi><mo>+</mo><mn>11</mn></mtd><mtd><mo>=</mo></mtd><mtd><mn>1</mn><mfenced><mrow><mi>x</mi><mo>+</mo><mn>1</mn></mrow></mfenced><mfenced><mrow><mi>x</mi><mo>+</mo><mn>2</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mn>3</mn><mi>x</mi><mo>+</mo><mn>11</mn></mtd><mtd><mo>=</mo></mtd><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>+</mo><mn>3</mn><mi>x</mi><mo>+</mo><mn>2</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo>=</mo></mtd><mtd><msup><mi>x</mi><mn>2</mn></msup><mo>-</mo><mn>9</mn></mtd></mtr><mtr><mtd><mn>0</mn></mtd><mtd><mo>=</mo></mtd><mtd><mfenced><mrow><mi>x</mi><mo>-</mo><mn>3</mn></mrow></mfenced><mfenced><mrow><mi>x</mi><mo>+</mo><mn>3</mn></mrow></mfenced></mtd></mtr><mtr><mtd><mi>x</mi></mtd><mtd><mo>=</mo></mtd><mtd><mn>3</mn><mo>&#160;</mo><mi>or</mi><mo>&#160;</mo><mi>x</mi><mo>=</mo><mo>-</mo><mn>3</mn></mtd></mtr></mtable><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true,”toolbar”:”<toolbar ref=’general’><tab ref=’general’><removeItem ref=’setColor’/><removeItem ref=’bold’/><removeItem ref=’italic’/><removeItem ref=’autoItalic’/><removeItem ref=’setUnicode’/><removeItem ref=’mtext’ /><removeItem ref=’rtl’/><removeItem ref=’forceLigature’/><removeItem ref=’setFontFamily’ /><removeItem ref=’setFontSize’/></tab></toolbar>”}</annotation></semantics></math>” height=”128″ role=”math” 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