Question

i have a question regarding the cancellation of denominators

Answer 1

yes, what is it?

Answer 2

Simple. Never, EVER do anything that could be described like that.

Answer 3

I don't really get that, @tkhunny, are you referring to that the question wasn't written specifically?

Answer 4

@qtexpress1111 Go ahead and ask your question if you are still online.

Answer 5

He's not.

Answer 6

She, not he, sorry.

Answer 7

If someone tells you to "cancel denominators", something is seriously wrong. That's all.

Answer 8

Yeah, I can totally see that, but, by asking a question we can tell her what is the name for whatever that is that she is supposed to do.
(Sounds awkward too)

Answer 9

Not necessarily. We never got the chance to see the OP's question. And, the rest of us don't really know about what you are talking although I think it is a language issue. The Askers here are not scholars. If they were, they would not be on this site.
@tkhunny Let us try a little tenderness.

Answer 10

@Directrix is right!

Answer 11

\[\frac{x}{2}\div\frac y2=\frac xy?\]

Answer 12

Yeah, I also though the question is something like this, @UnkleRhaukus.

Answer 13

\(\dfrac{x}{2}\div\dfrac{y}{2} = \dfrac{x}{2}\cdot\dfrac{2}{y} = \dfrac{2}{2}\cdot\dfrac{x}{y} = 1\cdot\dfrac{x}{y} = \dfrac{x}{y}\)

Definition of Division of Fractions.
Commutative Property of Multiplication.
Multiplicative Inverse Property
Multiplicative Identity Property

There are already sufficient properties to solve such problems. Absolutely no need to invent new ones.

I am very much against artificial solutions - very much preferring actual known properties.

I realize not everyone agrees with this view.

Answer 14

When I see that, I would just say x/y, not that much of a big deal even for dummies like me.

Answer 15

assuming y≠0.

Answer 16

Well, to me, it would still be x/y but it would be x/0

see my point?

Answer 17

Indeed.

I've just never been one to emphasize immediate solution over fundamental understanding of principles.

Again, not everyone agrees with this emphasis.

Answer 18

Ok, it just depends on whom the problem is done for, if you see a smarter and more familiar guy, give him a little tip and he will finish it really fast...but for not such smart people....

Answer 19

@qtexpress1111 i'm still not sure if we have interpreted your question correctly