PASCAL 2004 Problem 24

In the sequence of fractions \frac11,\frac21,\frac12,\frac31,\frac22,\frac13,\frac41,\frac32,\frac23,\frac14,\frac51,\dots, fractions equivalent to any given fraction occur many times. For example, fractions equivalent to \frac12 occur for the first two times in positions 3 and 14. In which position is the fifth occurrence of a fraction equivalent to \frac37 ?

Answer Choices
A. 1207
B. 1208
C. 1209
D. 1210
E. 1211