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Bananas1234

  • one year ago

Find the LCD of both fractions, then simplify the expression. Assume that no denominator equals zero. 5/3x^2y - 4/6xy^3

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  1. Bananas1234
    • one year ago
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    @JoannaBlackwelder

  2. Bananas1234
    • one year ago
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    @Nnesha

  3. JoannaBlackwelder
    • one year ago
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    The LCD is finding the smallest denominator that makes them both the same.

  4. JoannaBlackwelder
    • one year ago
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    Do you have any ideas of how to start doing that?

  5. Bananas1234
    • one year ago
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    how do i find that?

  6. Bananas1234
    • one year ago
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    not sure, sorry

  7. JoannaBlackwelder
    • one year ago
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    Ok, the two denominators are|dw:1433440171339:dw|

  8. JoannaBlackwelder
    • one year ago
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    I mean... |dw:1433440214478:dw|

  9. Bananas1234
    • one year ago
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    ok

  10. JoannaBlackwelder
    • one year ago
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    If we multiply the left one by 2, we get a common coefficient|dw:1433440278787:dw|

  11. JoannaBlackwelder
    • one year ago
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    Do you see how that gives us a common coefficient of 6?

  12. JoannaBlackwelder
    • one year ago
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    |dw:1433440359049:dw|

  13. Bananas1234
    • one year ago
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    yes, because 2 times 3 is 6?

  14. JoannaBlackwelder
    • one year ago
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    Right.

  15. JoannaBlackwelder
    • one year ago
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    And we have 2 x's on the left, but only 1 on the right.

  16. JoannaBlackwelder
    • one year ago
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    So we need to multiply the right side by x to make the number of x's the same

  17. JoannaBlackwelder
    • one year ago
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    |dw:1433440468526:dw|

  18. Bananas1234
    • one year ago
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    i see

  19. JoannaBlackwelder
    • one year ago
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    :-) How do you think we can make the number of y's the same?

  20. Bananas1234
    • one year ago
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    times it by y?

  21. JoannaBlackwelder
    • one year ago
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    Close. That would give us:|dw:1433440631552:dw|

  22. JoannaBlackwelder
    • one year ago
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    So the numbers of y's still aren't quite the same.

  23. Bananas1234
    • one year ago
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    they arent?

  24. Bananas1234
    • one year ago
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    ok whats next

  25. JoannaBlackwelder
    • one year ago
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    It looks like we have 2 y's on the left, but 3 on the left.

  26. Bananas1234
    • one year ago
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    i see

  27. Bananas1234
    • one year ago
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    you mean 3 on the right?

  28. JoannaBlackwelder
    • one year ago
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    Yeah, sorry.

  29. Bananas1234
    • one year ago
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    ok

  30. JoannaBlackwelder
    • one year ago
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    So, we need one more y on the left.

  31. Bananas1234
    • one year ago
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    ok, so do we mulitply again?

  32. JoannaBlackwelder
    • one year ago
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    Yep

  33. Bananas1234
    • one year ago
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    |dw:1433440911998:dw|

  34. JoannaBlackwelder
    • one year ago
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    Yep, great! So, are the denominators the same now?

  35. Bananas1234
    • one year ago
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    yes

  36. JoannaBlackwelder
    • one year ago
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    Great! So, in the full problem, how do we make that both denominators?

  37. Bananas1234
    • one year ago
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    |dw:1433441111648:dw|

  38. Bananas1234
    • one year ago
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    Like that?

  39. JoannaBlackwelder
    • one year ago
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    But we can't just change the denominators. We have to also change the numerators to keep everything balanced.

  40. Bananas1234
    • one year ago
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    oh, i forgot about that

  41. Bananas1234
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    ow do we do that?

  42. Bananas1234
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    how*

  43. JoannaBlackwelder
    • one year ago
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    What do we need to multiply by the first denominator to get it to be our LCM?

  44. JoannaBlackwelder
    • one year ago
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    *LCD

  45. Bananas1234
    • one year ago
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    not sure, sorry.

  46. JoannaBlackwelder
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    |dw:1433441688086:dw|

  47. Bananas1234
    • one year ago
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    what do i put in the (?)?

  48. Bananas1234
    • one year ago
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    @JoannaBlackwelder

  49. JoannaBlackwelder
    • one year ago
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    What did we multiply by to get the LCD of the left side?

  50. Bananas1234
    • one year ago
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    by y?

  51. JoannaBlackwelder
    • one year ago
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    Was that all?

  52. Bananas1234
    • one year ago
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    i think so....

  53. JoannaBlackwelder
    • one year ago
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    No, |dw:1433442752287:dw| so we need to multiply the left fraction on top and bottom by 2y^2

  54. Bananas1234
    • one year ago
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    oh

  55. JoannaBlackwelder
    • one year ago
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    |dw:1433442908806:dw|

  56. JoannaBlackwelder
    • one year ago
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    Can you simplify?

  57. Bananas1234
    • one year ago
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    how do i simplify??

  58. JoannaBlackwelder
    • one year ago
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    Multiply

  59. Bananas1234
    • one year ago
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    multiply the 5 by the 2y^2?

  60. JoannaBlackwelder
    • one year ago
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    Yep

  61. Bananas1234
    • one year ago
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    10y^2/6x^2y^3?

  62. JoannaBlackwelder
    • one year ago
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    Yep, great! How about the other fraction?

  63. Bananas1234
    • one year ago
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    |dw:1433443839427:dw| Like this??

  64. Bananas1234
    • one year ago
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    so 8y2/12xy^5?

  65. Bananas1234
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    8y^2/12xy^5 @JoannaBlackwelder

  66. Bananas1234
    • one year ago
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    is that all i need to do? @JoannaBlackwelder

  67. Bananas1234
    • one year ago
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    please reply i have 20 mins to get this done :( @JoannaBlackwelder

  68. JoannaBlackwelder
    • one year ago
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    Sorry, I was doing some online tutoring. But no, we didn't multiply by 2y^2 on the right fraction to get the LCD.

  69. Bananas1234
    • one year ago
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    ok

  70. JoannaBlackwelder
    • one year ago
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    |dw:1433445935170:dw|

  71. JoannaBlackwelder
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    We need to multiply the right fraction by x to make common denominators.

  72. Bananas1234
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    i got that part

  73. JoannaBlackwelder
    • one year ago
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    |dw:1433446083616:dw|

  74. Bananas1234
    • one year ago
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    i see

  75. JoannaBlackwelder
    • one year ago
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    :-)

  76. JoannaBlackwelder
    • one year ago
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    |dw:1433446145225:dw|

  77. JoannaBlackwelder
    • one year ago
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    So, now we can subtract the numerators, and the denominators stay the same.

  78. JoannaBlackwelder
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    So, what does that give us?

  79. Bananas1234
    • one year ago
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    6y^2x?

  80. JoannaBlackwelder
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    No, I mean for the whole fraction.

  81. Bananas1234
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    im having a hard time subtracting the bottom

  82. JoannaBlackwelder
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    It stays the same. Doesn't subtract.

  83. Bananas1234
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    ohh i see

  84. JoannaBlackwelder
    • one year ago
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    |dw:1433446648437:dw|

  85. Bananas1234
    • one year ago
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    so,6y^2x/6x^2y^3

  86. JoannaBlackwelder
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    No, only like terms can add.

  87. Bananas1234
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    ok

  88. Bananas1234
    • one year ago
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    so its 10y^2 - 4x/6x^2y^3 is that all??

  89. JoannaBlackwelder
    • one year ago
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    Well, we can simplify a bit by factoring out a 2

  90. Bananas1234
    • one year ago
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    what 2?

  91. Bananas1234
    • one year ago
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    i do have to get this turned in now, if i don't i will get a 0

  92. Bananas1234
    • one year ago
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    the 2 on 6 and 10??

  93. JoannaBlackwelder
    • one year ago
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    Yes, and the 4

  94. JoannaBlackwelder
    • one year ago
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    You can turn it in like that. You should get partial credit

  95. Bananas1234
    • one year ago
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    ok, but if i were to do it some other time what can i do?

  96. JoannaBlackwelder
    • one year ago
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    |dw:1433447702331:dw|

  97. Bananas1234
    • one year ago
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    ok, thank you for all of your help, sorry that took so long.

  98. JoannaBlackwelder
    • one year ago
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    And the twos cancel out. |dw:1433447840612:dw|

  99. JoannaBlackwelder
    • one year ago
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    You're welcome :-)

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