\(\frac{1}{4}.\frac{2}{6}.\frac{3}{8}.\frac{4}{10}.\frac{5}{12}.....\frac{30}{62}.\frac{31}{64}\)
\(=\frac{1.2.3.4....30.31}{4.6.8.10.12....62.64}\)
\(=\frac{1.\left(2.3.4.5....30.31\right)}{2.\left(2.3.4....30.31\right).64}\)
\(=\frac{1}{2.64}\)
\(=\frac{1}{128}\)