Question

ABCDEF是六个有理数,并且A/B=1/2,B/C=-1/3,C/D=1/4,D/E=-1/5,E/F=1/6求F/A

Answer 1

由A/B=1/2,B/C=-1/3,C/D=1/4,D/E=-1/5,E/F=1/6得

B/C=2/-6,C/D=-6/-24,D/E=-24/120,E/F=120/720,

则A/F=1/720,故 F/A=720.