Math

6 - w = 1 4/5
need help on this one please

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  1. 6 - w = 1 4/5

    I'm going to convert the mixed number to an improper fraction. 1 4/5 = 5/5 + 4/5 = 9/5

    6 - w = 9/5
    Add the w to both sides.

    6 - w + w = 9/5 + w
    The w's on the left cancel.

    6 = 9/5 + w
    Now subtract the 9/5 from both sides.

    6 - 9/5 = 9/5 - 9/5 + w
    The 9/5's on the right cancel.

    6 - 9/5 = w
    Convert 6 to a fraction over 5. 6*5 = 30, so 6 = 30/5

    30/5 - 9/5 = w
    Subtract.

    21/5 = w
    w = 21/5 = 4 1/5

    Check our answer by plugging into the original equation.

    6 - 21/5 = 1 4/5
    6 - 4 1/5 = 1 4/5
    Yup. We got it.

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