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icalibear

  • one year ago

Simplify to just one term (1−5/6x)÷1x−5/6x2

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  1. icalibear
    • one year ago
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    \[(1- \frac{ 5 }{ 6x })\div \frac{ 1 }{ x}-\frac{ 5 }{ 6x^2 }\]

  2. anonymous
    • one year ago
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    Try a common denominator of 6x for the terms in parentheses then subtract

  3. icalibear
    • one year ago
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    I think I'm supposed to flip the second one and multiply across?

  4. icalibear
    • one year ago
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    I also feel like some things would cancel?

  5. anonymous
    • one year ago
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    when you divide, yes. but first you have to handle the subtraction in parentheses

  6. icalibear
    • one year ago
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    Actually there are no parentheses in the question I just put them there to separate the two

  7. icalibear
    • one year ago
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    ugh

  8. anonymous
    • one year ago
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    or is the problem supposed to be |dw:1436129278158:dw|

  9. icalibear
    • one year ago
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    right

  10. icalibear
    • one year ago
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    that's the problem

  11. anonymous
    • one year ago
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    that's a much easier problem :)

  12. icalibear
    • one year ago
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    OK good lol

  13. anonymous
    • one year ago
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    the denominators are 6x, x, and 6x², so their lcm (aka common denominator) is 6x². Multiplying the top and bottom by 6x² will cancel the fractions. |dw:1436129426746:dw|

  14. anonymous
    • one year ago
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    crud wait. supposed to be 6x²

  15. anonymous
    • one year ago
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    |dw:1436129523649:dw|

  16. icalibear
    • one year ago
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    ok.. i did and its a little confusing

  17. anonymous
    • one year ago
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    can you put up what you have so I can make sure we're on the same page?

  18. icalibear
    • one year ago
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    sorry having trouble

  19. icalibear
    • one year ago
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    yeah ill draw it

  20. anonymous
    • one year ago
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    no problem. site's pretty glitchy sometimes

  21. icalibear
    • one year ago
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    |dw:1436129702310:dw|

  22. icalibear
    • one year ago
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    for the numerator?

  23. anonymous
    • one year ago
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    |dw:1436129833564:dw|

  24. anonymous
    • one year ago
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    so the numerator is\[6x^2-5x\]

  25. icalibear
    • one year ago
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    why is it 6x^2 - 5x if the 6x^2 cancels to give -5? :s

  26. anonymous
    • one year ago
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    the 6x² came from the 1. The -5x came from 5/(6x). You get both parts when you distribute

  27. icalibear
    • one year ago
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    oh i see

  28. icalibear
    • one year ago
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    why is it (-)

  29. icalibear
    • one year ago
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    if we are multpying

  30. anonymous
    • one year ago
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    b/c it was (-) originally and multiplied by a positive

  31. icalibear
    • one year ago
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    okay

  32. icalibear
    • one year ago
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    im gonna try the denominator..

  33. anonymous
    • one year ago
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    ok

  34. icalibear
    • one year ago
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    |dw:1436130516707:dw|

  35. icalibear
    • one year ago
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    am i not cancelling when I need to

  36. anonymous
    • one year ago
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    It looks like you multiplied both numerator and denominator by 6x². In fraction form \(6x^2=\frac{ 6x^2 }{ 1 }\). So only the numerator gets multiplied by it. |dw:1436130729399:dw|

  37. anonymous
    • one year ago
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    You can cancel before you multiply or after. It doesn't matter. The result will be the same

  38. anonymous
    • one year ago
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    do whatever you feel more comfortable with

  39. icalibear
    • one year ago
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    oh okay so now I just have 6x^2 - 5x / 1/x - 5/6x^2?

  40. icalibear
    • one year ago
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    and the 6x^2 cancels?

  41. anonymous
    • one year ago
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    not quite: see below |dw:1436130975170:dw|

  42. anonymous
    • one year ago
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    |dw:1436131068044:dw|

  43. anonymous
    • one year ago
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    So you get 6x - 5 for the denominator.

  44. anonymous
    • one year ago
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    and the whole thing is\[\frac{ 6x^2-5x }{ 6x-5 }\]

  45. anonymous
    • one year ago
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    See where that all came from?

  46. icalibear
    • one year ago
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    yes i see now. I thought you meant not to distrubute 6x^2 into any of the denominator

  47. icalibear
    • one year ago
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    now to make it one term?

  48. anonymous
    • one year ago
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    ah ok. sorry that wasn't clear. all that's left is to factor out an x on the numerator then you can cancel what's left

  49. icalibear
    • one year ago
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    is it just x?

  50. icalibear
    • one year ago
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    x(6x -5) / 6x - 5

  51. anonymous
    • one year ago
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    yes. just x

  52. icalibear
    • one year ago
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    oh okay. thanks so much i know that took me a while. XD

  53. anonymous
    • one year ago
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    you're welcome

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