Problem 6.

Algebra Level 4

\[ \dfrac1{1\times2\times3\times4}+ \dfrac1{2\times3\times4\times5}+ \dfrac1{3\times4\times5\times6} + \ldots + \dfrac1{50\times51\times52\times53} = \ ? \]

Give your answer to 5 decimal places.