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Agent_Sniffles Group Title

Dividing fractions..

  • 2 years ago
  • 2 years ago

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  1. KingGeorge Group Title
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    So suppose you have a fraction \[\Large \frac{5/4}{7/3}\]Then this can be simplified by doing \[\Large \frac{5}{4}\times\frac{3}{7}=\frac{15}{28}\]

    • 2 years ago
  2. CliffSedge Group Title
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    Division is defined as multiplication by the reciprocal, yes.

    • 2 years ago
  3. KingGeorge Group Title
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    For another example, if you have \[\Large \frac{5/4}{7}\]Then this is the same thing as \[\Large \frac{5/4}{7/1}=\frac{5}{7}\times \frac{1}{4}=\frac{5}{28}\]

    • 2 years ago
  4. CliffSedge Group Title
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    Interestingly enough, \(\large 5/4 ÷ 7/3 = \frac{5÷7}{4÷3} = 5/7 ÷ 4/3.\)

    • 2 years ago
  5. KingGeorge Group Title
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    Now using the examples I just gave, can you tell me what \[\Large \frac{3/2}{6/5}\]can be simplified to?

    • 2 years ago
  6. Rosh007 Group Title
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    In general we can say when you divide, a\[(a \div b)\div(c \div d) = (a \div b)\times(d \div c)\]

    • 2 years ago
  7. Agent_Sniffles Group Title
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    Is it.. 1 1/4

    • 2 years ago
  8. KingGeorge Group Title
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    That's correct.

    • 2 years ago
  9. KingGeorge Group Title
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    Now, let's mix it up a bit. What about \[\Large \frac{8}{2/5}\]If this is a bit confusing, try turning the 8 into a fraction and seeing what you can do then.

    • 2 years ago
  10. Agent_Sniffles Group Title
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    Um.. 20?

    • 2 years ago
  11. KingGeorge Group Title
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    Right again. I think you're getting the hang of this. Does this help you with the problems you were given?

    • 2 years ago
  12. Agent_Sniffles Group Title
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    Yeah, it does.

    • 2 years ago
  13. Agent_Sniffles Group Title
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    Thanks.

    • 2 years ago
  14. KingGeorge Group Title
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    You're welcome.

    • 2 years ago
  15. KingGeorge Group Title
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    I strongly believe in the power of varying examples that are usually more difficult than necessary.

    • 2 years ago
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