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? asked in Science & MathematicsMathematics · 9 years ago

Need huge help for Math Question please?

1 / ((1/a)-(1/a)) is equal to

A. a-b

B. ab / b-a

C. b-a / ab

D. b-a

E. None of these.

Update:

Sorry, it should be

1 / ((1/a)-(1-b)) is equal to

A. a-b

B. ab / b-a

C. b-a / ab

D. b-a

E. None of these.

Huge mistake on my part!!! Sorry! If anyone can answer this way, I will be extremely happy!!

7 Answers

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  • 9 years ago
    Favorite Answer

    Did you mean

    1 / ((1/a)-(1/b)) ?

    Your answer to this would be:

    Multiply the top and the bottom by ab:

    1/ ((1/a) -(1/b))

    = ab / (b-a)

    Thus your answer would be B. ab / b-a

  • 9 years ago

    1 / (1/a - (1-b)) — Find the least common denominator, which is a.

    1 / [(1 - a (1-b)) / a] — Since this is a double fraction, the a in the denominator moves on top of the main fraction and is multiplied by 1.

    a / (1 - a (1-b)) — Now distribute the a in the parentheses.

    a / (1 - a + ab)

    You can't really go any further than this, so the answer is E, "None of these."

    EDIT: I still think you made a mistake with the notation of the problem. If instead of (1-b) you had (1/b), the result would turn out much nicer and the correct solution would be B, "ab / (b-a)."

    1 / (1/a - 1/b) — Find the least common denominator, which is ab this time.

    1 / [(b - a) / ab] — Again, this is a double fraction, so the ab goes on top of the main fraction.

    ab / (b - a)

    The answer is B, "ab / (b-a)."

  • 9 years ago

    It looks like you have 1/a - 1/a in the denominator. That's not good because 1/a - 1/a = 0 and you can't EVER divide by zero. So, the expression, at least as you have written it, is UNDEFINED. The answer, therefore, would be "E. None of these."

    Source(s): my own fevered brain...!
  • RossK
    Lv 7
    9 years ago

    the denominator, 1/a - 1/a = 0 and the fraction becomes 1 / 0 which is either undefined or equal to infinity, depending on who you ask. So "none of the above" the way I see it.

  • Anonymous
    9 years ago

    Why thanks, Chuck.

    Clearly looking at the problem we can see an Issue. the denominator will go to 0 for any number of a.

    Your answer is then E) None of these.

    Best option: DNE

    Source(s): Math major
  • Anonymous
    9 years ago

    the answers is 0 so E

  • Mike G
    Lv 7
    9 years ago

    Division by zero = undefined

    E. None of these.

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