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Let x be the numerator.
x + 8 be the denominator.
The fraction is x / x + 8.
By the question,
x + 17 / x + 8 - 1 = 3/2
x + 17 / x + 7 = 3/2
2( x + 17 ) = 3( x + 7 )
2x + 34 = 3x + 21
34 - 21 = 3x - 2x
13 = 1x
x = 13.
Numerator of the rational number = x = 13
Denominator of the rational number = x + 8
= 13 + 8 = 21
The Rational number = 13 / 21.
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