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anonymous

  • one year ago

Can someone help me with a homework problem? Simplifying complex fractions with variables. I want to learn HOW to do it, not just get the answer- I have a test tomorrow.

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  1. anonymous
    • one year ago
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    I can try!

  2. anonymous
    • one year ago
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    \[\frac{ \frac{ x }{ x+2 } }{ \frac{ 1 }{ x }+\frac{ 1 }{ x+2}}\]

  3. anonymous
    • one year ago
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    I have no idea how to even begin :P

  4. anonymous
    • one year ago
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    It is kind hard to see :D

  5. anonymous
    • one year ago
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    *kinda

  6. anonymous
    • one year ago
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    The equation you mean?

  7. anonymous
    • one year ago
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    Yea

  8. anonymous
    • one year ago
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    |dw:1432742093933:dw|

  9. anonymous
    • one year ago
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    Lol

  10. anonymous
    • one year ago
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    Is that better?messier?

  11. anonymous
    • one year ago
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    First try simplifying the denominator part

  12. anonymous
    • one year ago
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    Do I add them together?

  13. anonymous
    • one year ago
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    So \[\frac{ 2 }{ 2x+2 }\] ?

  14. anonymous
    • one year ago
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    No, fractions can't be added like that

  15. anonymous
    • one year ago
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    Oh wait, LCD?

  16. anonymous
    • one year ago
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    yes

  17. anonymous
    • one year ago
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    What's LCD?

  18. anonymous
    • one year ago
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    Would the LCD be x^2 + 2x?

  19. anonymous
    • one year ago
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    What does LCD stand for?

  20. anonymous
    • one year ago
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    Least common denominator?

  21. anonymous
    • one year ago
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    Fine

  22. anonymous
    • one year ago
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    So what do you get in the denominator after adding?

  23. anonymous
    • one year ago
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    Wait with fractions the denominator doesn't change, yeah? So the denominator would still be x^2 + 2x?

  24. anonymous
    • one year ago
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    Or am I confusing myself?

  25. anonymous
    • one year ago
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    I meant denominator of the whole expression that is given|dw:1432742605895:dw|

  26. anonymous
    • one year ago
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    Ohhh

  27. anonymous
    • one year ago
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    What would it's value be?

  28. anonymous
    • one year ago
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    |dw:1432742696142:dw| is after the LCD

  29. anonymous
    • one year ago
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    So|dw:1432742755723:dw| ?

  30. anonymous
    • one year ago
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    Absolutely right

  31. anonymous
    • one year ago
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    Do I simplify that at all?

  32. anonymous
    • one year ago
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    Divide the numerator with that value

  33. anonymous
    • one year ago
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    Kay, one sec..

  34. anonymous
    • one year ago
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    And keeping x(x+2) as x(x+2) rather than multiplying would do you a little good

  35. anonymous
    • one year ago
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    Oh yeah thanks

  36. anonymous
    • one year ago
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    So, got the final answer?

  37. anonymous
    • one year ago
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    Not yet. I'm really slow with this stuff

  38. anonymous
    • one year ago
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    Take your time

  39. anonymous
    • one year ago
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    I don't know if I did this right but I got\[\frac{ x^2(x + 2) }{ 2x^2 + 6x + 4 }\]

  40. anonymous
    • one year ago
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    @abdul_shabeer Is that wrong?

  41. anonymous
    • one year ago
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    It's not wrong, but you can still simlify it

  42. anonymous
    • one year ago
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    Factorise the denominator

  43. anonymous
    • one year ago
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    Oh okay

  44. anonymous
    • one year ago
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    \[\frac{ x^2 }{ 2x + 2 }\] ?

  45. anonymous
    • one year ago
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    Right

  46. anonymous
    • one year ago
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    Awesome! Thank you! I think I get this now. :)

  47. anonymous
    • one year ago
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    You're welcome, and All The Best for your exam tomorrow

  48. anonymous
    • one year ago
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    Thanks :)

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