Egyptian Fractions are fractions expressed in the form of 1/n or as the sum of such fractions (1/a + 1/b + ...). For example, 2/3 would be expressed as 1/2 + 1/6.

(*As found on the Rhind papyrus, 2/3 was one, if not the only, non-unit fraction used by the Egyptians.*)

The following Egyptian Fractions correspond to the fractional portion of the first ten non-integer members of a "regular" series. (The "whole number" component of each member of the series is omitted and any series members without fractional components is likewise omitted).

What is the missing fraction in this sequence?

1/2 + 1/14

1/4 + 1/44

1/4 + 1/18 + 1/468

1/4 + 1/28

1/2

1/2 + 1/4 + 1/14 + 1/476

1/19

1/2 + 1/3 + 1/42

1/2 + 1/8 + 1/88

1/3 + ?