Which fractions

where

are positive integers

, is closest to

Find all digits after the point in decimal representation of that fraction which coincide with digits in decimal representation of

(without using any table).
%V0
Which fractions $\displaystyle \dfrac{p}{q},$ where $p,q$ are positive integers $< 100$, is closest to $\sqrt{2} ?$ Find all digits after the point in decimal representation of that fraction which coincide with digits in decimal representation of $\sqrt{2}$ (without using any table).