OFFSET
0,1
COMMENTS
The "international avoirdupois pound" is the formal name for a pound of mass.
The continued fraction can be used to derive a sequence of simple ratios with improving precision for the precise kilogram-to-pound ratio.
The simple continued fraction for exactly 0.45359237, the number of kilograms per pound is this sequence with 0 prepended.
These are the quotients when Euclid's algorithm is initiated with the pair (100000000, 45359237).
LINKS
U.S. Customs and Border Protection, Automated Export System Trade Interface Requirements, Appendix M - Metric Conversion Table
Wikipedia, Avoirdupois
EXAMPLE
The fraction associated with the simple continued fraction (2; 4, 1, 7, 1) is 97/44, indicating that 97 pounds and 44 kilograms are nearly the same mass.
CROSSREFS
KEYWORD
cofr,fini,full,nonn
AUTHOR
Lee A. Newberg, Apr 09 2018
STATUS
approved