algebra

x/8-1/6=6

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  1. Find your least common denominator and convert all the fractions before you start to solve the equation. (LCD = 24

    x/8 = 3x/24
    1/6 = 4/24
    6 = 144/24

    Now the equation looks like this:
    x/8 - 4/24 = 144/24

    Let's work to get x on one side, so add 4/24 to each side:
    3x/24 = 144/24 + 4/24
    3x/24 = 148/24

    Now since 24 is a denominator, we can multiply by 24 (whole number is always over 1 = 24/1) This will get the 24 canceled out on each side. (Remember whatever you do to one side, you must do to the other side.)

    3x = 148

    Now you can solve for x by getting x on a side by itself, so divide the 3 out on each side

    3x/3 = 148/3
    x = 148/3

    x = 49 1/3 or 49.333. . .

    Check your work and plug x back into your equation and solve to see if the left side = 6 on the right side.

    49.333/8 - 1/6 = 6

    or 49 1/3/8 - 1/6 = 6

    OR--I would find it easier to stay with the decimals at this point just to make it easier to check the work: 1/6 = 0.1666 (divide the numerator by the denominator to get a decimal)

    49.333/8 - 0.1666 = 6

    Divide the 49.333 by 8 = 6.1666

    Equation now looks like this:

    6.1666 - 0.1666 = 6

    I hope that is helpful!

    Therefore x = 49 1/3 if fraction answer required, OR 49.333 if decimal is acceptable answer form.

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