The numerator of a fraction is increased by 20% and denominator is decreased by 20%. The value of the fraction becomes \(\frac{4}{5}\).  The original fraction is:

\(\frac{2}{3}\) \(\frac{8}{15}\) \(\frac{7}{11}\) \(\frac{4}{5}\)

\(\frac{8}{15}\)

Let the fraction is  =\(\frac{x}{y}\) ATQ, ⇒ 120% of x : 80% of y = 4 : 5 ⇒ \(\frac{120x}{80y}\) = \(\frac{4}{5}\) ⇒ \(\frac{3x}{2y}\) = \(\frac{4}{5}\) ⇒ \(\frac{x}{y}\) = \(\frac{8}{15}\)