Question:

How would I solve this equation.?

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1/2m-1/4m=

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  1. get common denomenators and subtract across the board.

    1/2m - 1/4m

    (2/2)(1/2m) - 1/4m

    2/4m - 1/4m

    1/4m assuming m is for meters since the given equation was not equal to anything so m is not a variable


  2. 1/2m-1/4m=1/4m

    [ Substitute a dollar for m. 1/2 m is then 1/2 a dollar.

    If you take a quarter dollar from a half a dollar you're

    left with a quarter dollar! ]

    To do it mathematically proper, find the lowest common denominator:

    2/4m-1/4m=1/4m


  3. Starting with:

    1/2m - 1/4m + 10 = -6

    Subtract 10 from each side to separate the unknowns from the knowns, resulting in:

    1/2m - 1/4m = -16

    If you multiply both sides by 4 (the lowest common denominator), it will simplify the equation to:

    2m - 1m = -64

    You can quickly see that 2m - 1m = 1m, or simply "m".

    Therefore, m = -64.

    Double check by plugging -64 in where "m" is:

    1/2m - 1/4m + 10 = -6

    1/2(-64) - 1/4(-64) + 10 = -6

    (-32) - (-16) + 10 = -6

    -32 + 16 + 10 = -6

    -32 + 26 = -6

    -6 = -6

    It checks out, so you know that m = -64.


  4. There must be something on the right hand side of the equation, I'm assuming zero

    1/2m - 1/4 m = 0

    2/4m - 1/4m = 0

    1/4m = 0

    m=0

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