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akoogle63
akoogle63 asked in Education & ReferenceHomework Help · 9 years ago

How to simplify (1/​(2+​x)-​1/​2)/​x?

I cant figure out how to simplify (1/(2 + x) - 1/2) / x.

I know the answer is -1/(2(2 + x)) but idk how to get it. I've tried it a few times and don't get that answer

Please help, thanks.

1 Answer

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  • hayharbr
    Lv 7
    9 years ago

    Multiply top and bottom by 2(2 + x) to cancel the minifractions. After canceling you are left with

    2 - (2 + x)

    --------------

    x•2(2 + x)

    The top becomes 2 - 2 - x which is just -x

    That x cancel the single x on bottom leaving the answer you gave.

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