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Math Help - fraction cancellations

  1. #1
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    fraction cancellations

    if you have a fraction, say (25*3*pi*h^3)/(25*pi*24*24*24*3), what would the reduction of this fraction be?

    i thought that since they are all factors, you could change the 3s for 1s (3/3=1)and the 24s for 8s (since 24/3=8), the the 25s and pis would cancel and you're left with (h^3)/(8^3), but the book i have says the answer is (h^3)/(24^3). why is the way i was doing it wrong?
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  2. #2
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    Quote Originally Posted by ihateregistering View Post
    if you have a fraction, say (25*3*pi*h^3)/(25*pi*24*24*24*3), what would the reduction of this fraction be?

    i thought that since they are all factors, you could change the 3s for 1s (3/3=1)and the 24s for 8s (since 24/3=8), the the 25s and pis would cancel and you're left with (h^3)/(8^3), but the book i have says the answer is (h^3)/(24^3). why is the way i was doing it wrong?

    You have a 25 on top and bottom, so they cancel. The same goes for the 3 on top and the 3 on bottom and the \pi on top and on bottom.

    When you cancel all of those you are left with \frac{h^3}{24^3}

    You cant change the 24s for 8s, you can only change 1 24 for 8 because there are 3 24's and only 1 3. If there were 3 3s on top then you could change all the 24s to 8s.
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