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Claudilovely Group Title

I have no clue how to do this with fractions, someone help and explain in words&numbers please! As stated: 4(3/4x-7)=4(1/2x+3) Thanks!

  • one year ago
  • one year ago

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  1. JuanitaM Group Title
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    please use the draw tool and write this out

    • one year ago
  2. Claudilovely Group Title
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    |dw:1359404852432:dw|

    • one year ago
  3. Mertsj Group Title
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    |dw:1359404940241:dw|

    • one year ago
  4. moser90 Group Title
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    sometimes it helps to make the other number a fraction to like this

    • one year ago
  5. moser90 Group Title
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    |dw:1359405028812:dw|

    • one year ago
  6. moser90 Group Title
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    you could even put a 1 under the seven|dw:1359405124046:dw|

    • one year ago
  7. Claudilovely Group Title
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    Yeah, but how can you multiply the fractions? I tried to remember but I forgot. @moser90

    • one year ago
  8. moser90 Group Title
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    |dw:1359405345652:dw| do you see what I did

    • one year ago
  9. mathstudent55 Group Title
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    |dw:1359405321919:dw|

    • one year ago
  10. Claudilovely Group Title
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    Oh! yeah, I get it! I get how you multiply the fractions, but then does that mean x will be a fraction? @mathstudent55

    • one year ago
  11. mathstudent55 Group Title
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    |dw:1359405371767:dw|

    • one year ago
  12. moser90 Group Title
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    yeah sorry I forgot the x so it would be 3x

    • one year ago
  13. mathstudent55 Group Title
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    The 4 outside each parentheses ends up canceling out with the 4 on the left and with the 1/2 on the right leaving a 2, that's why there are no fractions after the 4 is multiplied out. Remember that a number outside parentheses has to be distributed.

    • one year ago
  14. mathstudent55 Group Title
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    When you divide the numerator and denominator by the same number, you cross out. It's a way of simplifying the fraction. I can do it without crossing out. I'll show you.

    • one year ago
  15. mathstudent55 Group Title
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    |dw:1359405668580:dw| Now you can reduce the fraction 12/4 and the fraction 4/2 before going on.

    • one year ago
  16. Claudilovely Group Title
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    |dw:1359405770394:dw| And I did this, is this correct?

    • one year ago
  17. mathstudent55 Group Title
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    12/4 = 3/1 = 3 4/2 = 2/1 = 1 So: |dw:1359405772980:dw|

    • one year ago
  18. mathstudent55 Group Title
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    You are allowed to add 3x to both sides, but in this case it won't help. Also, on the left side, 3x was positive, so you need to subtract 3x, not add 3x. But in the end, it's better to just subtract 2x from both sides, since you have 2x on the right side. By subtracting 2x, you move the x's to the left side. |dw:1359405951327:dw|

    • one year ago
  19. mathstudent55 Group Title
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    And finally: |dw:1359406000506:dw|

    • one year ago
  20. Claudilovely Group Title
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    Oh my gosh, thank you!!

    • one year ago
  21. mathstudent55 Group Title
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    You're welcome.

    • one year ago
  22. Claudilovely Group Title
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    I never expected x to be so big. So when I plug the x to make it a 40 and do the "check" side of the problem, I multiply the same way with the fractions as before or do it differently? Like...

    • one year ago
  23. Claudilovely Group Title
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    |dw:1359406535113:dw|

    • one year ago
  24. mathstudent55 Group Title
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    |dw:1359406827973:dw|

    • one year ago
  25. mathstudent55 Group Title
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    |dw:1359406928264:dw|

    • one year ago
  26. Claudilovely Group Title
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    how you make the 40 a ten and 40 a 20?

    • one year ago
  27. mathstudent55 Group Title
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    I simplify before multiplying. Look at the left side. There was a fraction of 3/4 multiplied by the number 40. You can write the number 40 as a fraction, 40/1, and multiply the fractions out: 3/4 * 40/1 = 120/40 Then you need to divide the numerator and denominator by the greatest common factor to reduce the fraction. In this case, the GCF is 40, so 120/40 = 30/1 = 30 What I did wass I reduced before multiplying. Since 40 is divisible by 4, and 4 is in the numerator and 4 is in the denominator, I divided 40 by 4, which is 10. Then when I multiplied 10 times 3 I got 30, which is the same 30 we got by multiplying everything out and reducing.

    • one year ago
  28. Claudilovely Group Title
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    Ok, that makes sense.

    • one year ago
  29. mathstudent55 Group Title
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    On the right side, we had 1/2 times 40. 40 divided by 2 is 20, so you can divide the 40 by the 2 before multiplying by 1, and you get 20. Then you need to multiply by 1, but since multiplying by 1 does not change the number, 20 * 1 = 20.

    • one year ago
  30. Claudilovely Group Title
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    Thank you for explaining that to me, before I thought I was looking at some kind of messed up nonsense.

    • one year ago
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