By mistake, the reciprocal of a positive fraction got typed in place of itself, and thereby its value got reduced by $\frac{175}{4}$%. What was the value of the fraction?

$\frac{4}{3}$

Let Original number = A

ATQ,

A - \(\frac{1}{A}\) = \(\frac{175A}{400}\)

A - \(\frac{1}{A}\) = \(\frac{7A}{16}\)

on solving ,

A =  \(\frac{20}{15}\)

A = \(\frac{4}{3}\)