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Maths Gcse Aqa Foundation

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  1. Scatter-Graphs-And-Correlation Aqa Foundation
    2 主题
  2. Statistical-Diagrams Aqa Foundation
    6 主题
  3. Averages-Ranges-And-Data Aqa Foundation
    7 主题
  4. Tree-Diagrams-And-Combined-Probability Aqa Foundation
    2 主题
  5. Simple-Probability-Diagrams Aqa Foundation
    4 主题
  6. Transformations Aqa Foundation
    4 主题
  7. Vectors Aqa Foundation
    3 主题
  8. Pythagoras-And-Trigonometry Aqa Foundation
    5 主题
  9. Congruence-Similarity-And-Geometrical-Proof Aqa Foundation
    5 主题
  10. Volume-And-Surface-Area Aqa Foundation
    3 主题
  11. Circles-Arcs-And-Sectors Aqa Foundation
    3 主题
  12. Area-And-Perimeter Aqa Foundation
    4 主题
  13. Bearings-Scale-Drawing-Constructions-And-Loci Aqa Foundation
    5 主题
  14. 2D-And-3D-Shapes Aqa Foundation
    4 主题
  15. Angles-In-Polygons-And-Parallel-Lines Aqa Foundation
    5 主题
  16. Symmetry-And-Shapes Aqa Foundation
    4 主题
  17. Exchange-Rates-And-Best-Buys Aqa Foundation
    2 主题
  18. Standard-And-Compound-Units Aqa Foundation
    5 主题
  19. Direct-And-Inverse-Proportion Aqa Foundation
    1 主题
  20. Ratio-Problem-Solving Aqa Foundation
    2 主题
  21. Sequences Aqa Foundation
    4 主题
  22. Solving-Inequalities Aqa Foundation
    3 主题
  23. Real-Life-Graphs Aqa Foundation
    4 主题
  24. Graphs-Of-Functions Aqa Foundation
    3 主题
  25. Linear-Graphs Aqa Foundation
    3 主题
  26. Coordinate-Geometry Aqa Foundation
    3 主题
  27. Functions Aqa Foundation
    1 主题
  28. Forming-And-Solving-Equations Aqa Foundation
    2 主题
  29. Simultaneous-Equations Aqa Foundation
    1 主题
  30. Solving-Quadratic-Equations Aqa Foundation
    1 主题
  31. Linear-Equations Aqa Foundation
    3 主题
  32. Algebraic-Reasoning Aqa Foundation
    1 主题
  33. Rearranging-Formulas Aqa Foundation
    1 主题
  34. Introduction Aqa Foundation
    10 主题
  35. Factorising Aqa Foundation
    3 主题
  36. Expanding-Brackets Aqa Foundation
    2 主题
  37. Algebraic-Roots-And-Indices Aqa Foundation
    1 主题
  38. Using-A-Calculator Aqa Foundation
    1 主题
  39. Exact-Values Aqa Foundation
    1 主题
  40. Rounding-Estimation-And-Error-Intervals Aqa Foundation
    4 主题
  41. Fractions-Decimals-And-Percentages Aqa Foundation
    2 主题
  42. Simple-And-Compound-Interest-Growth-And-Decay Aqa Foundation
    4 主题
  43. Percentages Aqa Foundation
    5 主题
  44. Fractions Aqa Foundation
    6 主题
  45. Powers-Roots-And-Standard-Form Aqa Foundation
    4 主题
  46. Types-Of-Number-Prime-Factors-Hcf-And-Lcm Aqa Foundation
    6 主题
  47. Number-Operations Aqa Foundation
    9 主题
课 Progress
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Exam code:8300

Multiplying fractions

How do I multiply two fractions?

  • Cancel any factors that are common to both the numerator and the denominator

    • The common factors could be in either of the fractions

    • 3 over 25 cross times 10 over 11 equals 3 over up diagonal strike 25 to the power of 5 cross times up diagonal strike 10 squared over 11 equals 3 over 5 cross times 2 over 11

  • Multiply

    • Multiply the numerators

    • Multiply the denominators

    • 3 over 5 cross times 2 over 11 equals fraction numerator 3 cross times 2 over denominator 5 cross times 11 end fraction equals 6 over 55

  • Cancel any common factors again if possible

How do I multiply two fractions if one is a mixed number?

  • Always convert mixed numbers into improper fractions before multiplying

    • Convert improper fractions back into mixed numbers at the end if required

Worked Example

Find 4 over 15 cross times 25 over 11.

The 15 and 25 can be cancelled before multiplying

<img alt=”fraction numerator 4 over denominator 3 cross times 5 end fraction cross times fraction numerator 5 cross times 5 over denominator 11 end fraction equals fraction numerator 4 over denominator 3 cross times up diagonal strike 5 end fraction cross times fraction numerator up diagonal strike 5 cross times 5 over denominator 11 end fraction equals 4 over 3 cross times 5 over 11″ data-mathml='<math ><semantics><mrow><mfrac ><mn>4</mn><mrow><mn>3</mn><mo>&#215;</mo><mn>5</mn></mrow></mfrac><mo >&#215;</mo><mfrac ><mrow><mn>5</mn><mo>&#215;</mo><mn>5</mn></mrow><mn>11</mn></mfrac><mo >=</mo><mfrac ><mn>4</mn><mrow><mn>3</mn><mo>&#215;</mo><

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