SOLUTION: The numerator of a fraction is 7 less than the denominator.If one and one third is added to it,the fraction obtained is 14/9.Find the original fraction?

Question 1119507: The numerator of a fraction is 7 less than the denominator.If one and one third is added to it,the fraction obtained is 14/9.Find the original fraction?
Found 2 solutions by htmentor, josmiceli:
Answer by htmentor(1343) (Show Source): You can put this solution on YOUR website!
(x-7)/x + 4/3 = 14/9
Multiply through by x and simplify:
x - 7 + (4/3)x = (14/9)x
x + (12/9)x - (14/9)x = 7
(7/9)x = 7
x = 9
Thus the original fractions is 2/9
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = the denominator
The original fraction is:

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Convert constants on the left side to ninths

Multiply both sides by

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check:

Multiply both sides by

OK

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