# 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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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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