I am having a hard time understanding recprocial with fractions

I would like to find a web site to help me understand this better I have a problem that is need to know if i have done it right
the question is
find the reciprocial of
(-1/7)(14/3)(9)

This how I done the problem if i missed anything please explain it
(-7/1)(3/14)(1/9)
multiply and crossed out
-1/1 1/2 1/3
multiply got -1/6 is this correct

yes. You have it.

Or you could have multiplied it out first, then flipped.

oh you just times it and then take away have luck with it and see if it is right!