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27 October, 15:48

In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator, the resulting fraction is equal Vhat was the original 8/12 fraction (not necessarily written in lowest terms)

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  1. 27 October, 16:17
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    Step-by-step explanation:

    If the new fraction is 8/12 I will show how to find it.

    Let's say the original denominator is x, then the numerator is x-4, so we have (x-4) / x.

    Then it says f we add 4 to both, so now we have x / (x+4) this equals 8/12. Now, keep in mind - 4 cannot be an answer because it would make x / (x+4) be divided by 0 which wouldn't exist.

    Now we just use algebra.

    x / (x+4) = 8/12

    12x = 8 (x+4)

    12x = 8x + 32

    4x = 32

    x = 8

    So the original fraction (x-4) / x = (8-4) / 8 = 4/8
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