\( \Large \frac{p}{q} = 2.\overline{52} \) .. (i) and \( \Large 100\frac{p}{q} = 252.\overline{52}\) .. (ii)
Subtracting equn (i) from (ii), we get \( \Large 99\frac{p}{q} = 250 \) => \( \Large \frac{p}{q} = \frac{99}{250} \) = 0.396