# How to explain simple math with correct preposition embedded on explanation?

I have a construction to say a ratio. I think of or and would be the correct prepositions.

So, If I give you my practice case

1. The ratio of minimum rectangle’s floor area to enclosed circle area is tested with a defined threshold and a candidate, given a low ratio, is taken as natural object assuming that natural object has a more irregular boundary.

2. The ratio between floor area of enclosed minimum rectangle and enclosed circle area is tested with a defined threshold and a candidate, given a low ratio, is taken as natural object assuming that natural object has a more irregular boundary.

As I cannot figure out the best preposition with the grammatically correct construction, I would like to ask what would be given a grammatically correct sentence?

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As written, this is more like a writing critique, which would be either too localized or off-topic. If you wanted to reword it as a broader question about the correct preposition to use with "ratio", you might have better results here. – Lynn Mar 23 '13 at 15:56
The ratio of Google hits for "ratio of A to B" to hits for "ratio between A and B" is 6710 : 4230 at my space-time coordinates. (I actually entered the letters.) Substituting X for A and Y for B, the ratio becomes 1240 : 475. Substituting (in the original) B for A and Q for B, the figures are unsurprisingly low, the ratio being 1 : 0 (and virtually meaningless as a statistic). Both are permitted, but we wouldn't usually say the ratio between P and Q is 7 : 5 (ie we usually use of / to if we're giving the value of the ratio). – Edwin Ashworth Mar 23 '13 at 16:07
I think you need more work on articles (a, an, the) than on of or between. – GEdgar Mar 23 '13 at 16:08
@GEdgar: yes. i am not native english speaker... could you please show me my errors in the sentence – gnp Mar 23 '13 at 18:53
And is not a preposition. It's a conjunction. – RegDwigнt Mar 23 '13 at 20:06