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The numerator of a fraction is 5 less than the denominator. If 1 is added to both the numerator and denominator the fraction would become 2/3. Find the fraction

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11 answers

  1. Let the numerator of the fraction represent
    x - 5

    By this we can then make a statement of how x represents the denominator.

    From here we will create an equation and simply solve for x...

    (x - 5)/x = 2/3
    (x - 5 + 1)/ x + 1 = 2/3
    (x - 4)/(x + 1) = 2/3

    [Multiply both sides to get rid of the denominator.]

    x - 4 = 2/3(x+1)
    3x - 12 = 2x + 2
    x = 14

    ∴ Numerator = 14 - 5

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  2. ∴ Denominator = 14

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  3. Gud

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  4. So notice when we add 1 to the numerator and denominator, it will be 10/15? This then simplifies to 2/3

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  5. Gut

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  6. Vry gut

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  7. Very gud

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  8. noice

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  9. great

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  10. Great

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  11. Gut

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