The numerator of a fraction is 5 less than the denominator. If 9 is added to both numerator and denominator . if become 2/3 . find the fraction.
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Answer:
Let the denominator be x.
Fraction= x-5
x
x-5+9 = 2
x+9 3
x+4 = 2
x+9 3
3(x+4)=2(x+9)
3x+12=2x+18
3x - 2x = 18 - 12
x = 6
So, numerator=x−5 = 6−5 =1
and denominator =6
So, the original fraction= 1/6
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