I'd suggest a different way of looking at it: turn whole numbers into fractions -- n = n/1 -- and then you don't have a pile of different cases, you can handle them all the same way.
although I suggested always "promoting" whole numbers to fractions, I'm all in favour of remembering the special case that 1 / fraction just means turning that fraction upside down :-).
(general principle behind D's last remark: if faced with something complicated and intimidating, see if you can simplify one part of it a bit, and repeat)
yep - there's absolutely nothing wrong with expanding it like that if you're unsure though! it's just a nice thing to remember for when you get more comfortable with manipulating fractions
So if it's being added/subtracted below, I just make it a common denominator, and if it just a fraction below a fraction, below a fraction, etc. I just kee on simplifying my way up
and, again, the general principle here: however complicated something is, if you can simplify some bit of it then you have a line of attack on the whole thing. You're not stuck on the whole thing until you can't find anything in it to improve.
(of course, you need to make sure that the "some bit of it" is actually, so to speak, a self-contained bit. If you have 1/(x+1) + 2/(x+3) then you can't simplify the "(x+1) + 2" into "x+3" :-).)
you might find things that are too complicated to be done by remembering a lot of rules -- knowing what to do in common situations is nice, but the important thing is to just find something you can do something with, even if it's only part of the bigger whole
Ah. Looks good! I guess I could try inputting like "complex variable fraction" though I have a feeling that might give some unwanted calculus material that I don't know of
I did have a moment where I confidently proclaimed I saw somebody vent the second they hit the button, because they had just seen me vent and I needed to create confusion. They all agreed to vote her first and then vote me, forgetting the number of people left... and I won because my imposter buddy was still alive and that brought us to four people, meaning the imposters won a number victory.
I played a board game with a similar premise (figure out the spies among the group), and at one point it was painfully obvious that my sister was one of the spies. During the group vote on who was the spy, she guilt-tripped/gas-lighted one of her best friends (not a spy) into voting for sister as not-a-spy. The spies won.
"When have I ever lied to you? You know that we're best friends"