January 17 is the 17th day of the year.
Since January has 31 days, February 6 is the 31+6 or 37th day of 
the year.

She was exactly 1997-1965 or 32 years old on January 17, 1997.
February 6, 1997 was 37-17 or 20 days after her birthday.  So we 
calculate what fraction of a year 20 days is of one year.  Since 
there were 365 days in 1997 (it wasn't a leap year), the fraction 
of a year she was after her birthday is  which reduces
to . So she was  years old on February 6th, 1997. 

Edwin