Arrange the volumnes to make nine different fractions.

When I was a boy, I was given nine ponderous volumes of Hume's
History of England, accompanied by promises galore of guns,
ponies, and everything else if I would only study those books.
I must confess that what I don't know about the history of
England would more than double the size of an ordinary library,
but I did discover some interesting puzzles based on those
weighty volumes.

I found, for example, that by placing the volumes on two shelves
as shown in the sketch, the fraction 6729/13458 is exactly equal
to 1/2.  Is it possible to find other arrangements, using all
nine volumes, that make fractions equivalent to 1/3, 1/4, 1/5,
1/6, 1/7, 1/8, and 1/9?