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Math Help - Solving for a variable fraction, multiplied by a non variable.

  1. #1
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    Solving for a variable fraction, multiplied by a non variable.

    Okay, so I'm working on through my homework and I get this question:
    I = 1.08\frac{T}{N} and I need to solve for N.

    The answer is N = \frac{1.08T}{I}

    Now, I think that one of the first things I want to do is to multiply both sides by N to try and clear the fraction. This is where I get confused. Does it become something like this NI = (N1.08)T or am I not even doing that step correctly?
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  2. #2
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    NI=1.08T

    You multiplied by N both sides so you will "cut" the N on right side of the equation.

    Now divide the equation by I and you will have the answer.

    Regards.
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  3. #3
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    Quote Originally Posted by Kaziel View Post
    Okay, so I'm working on through my homework and I get this question:
    I = 1.08\frac{T}{N} and I need to solve for N.

    The answer is N = \frac{1.08T}{I}

    Now, I think that one of the first things I want to do is to multiply both sides by N to try and clear the fraction. This is where I get confused. Does it become something like this NI = (N1.08)T or am I not even doing that step correctly?
    1. The first step is OK:

    I \cdot N = 1.08\frac{T}{N} \cdot N

    Now cancel the N at the RHS so you don't have any Ns there.

    2. Now divide the complete equation by I and you'll get the given result.
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  4. #4
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    I see what I was doing wrong. I was forgetting that \frac{x}{y} * \frac{z}{a} essentially looks like \frac{x * z}{y * a}

    With that in mind, an alternate way of writing I = 1.08\frac{T}{N} would be: I = \frac{1.08}{1}*\frac{T}{N} which would make this the same as I = \frac{1.08T}{N}. That's easier for me to visualize. I got it now! Oi, don't I feel embarrassed...

    Thanks for the help folks.
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  5. #5
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    As a small note, you may need to justify the fact that you can divide by I on both sides of the equation. In order to do this, you must be sure that I is not zero.
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