Let denominator of fraction = x
Then, numerator = x - 4
Therefore, Fraction = \( \Large \frac{x - 4}{x} \)
Now, according to the question,
\( \Large 8 \left[\left(x - 4\right) - 2 \right] = \left(x + 1\right) \)
\( \Large \left(x - 4\right) - 2 = \frac{ \left(x + 1\right) }{8} \)
=> 8x - 48 = x + 1
=> 8x - x = 48 + 1
=> 7x = 49
=> x = \( \Large \frac{49}{7} \)
Therefore, x = 7
Therefore, Fraction = \( \Large \frac{7 - 4}{7} = \frac{3}{7} \)