My Math Forum terms of a over b

 Elementary Math Fractions, Percentages, Word Problems, Equations, Inequations, Factorization, Expansion

 May 31st, 2009, 11:10 AM #1 Newbie   Joined: May 2009 Posts: 2 Thanks: 0 terms of a over b The terms of a/b are a, and 1/b. WHY? Shouldn't the terms be just a and b?
 May 31st, 2009, 12:02 PM #2 Newbie   Joined: May 2009 Posts: 5 Thanks: 0 Re: terms of a over b a/b a/1 = a 1/b = b must remain in the denominator
May 31st, 2009, 05:17 PM   #3
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Re: terms of a over b

Quote:
 Originally Posted by riponks The terms of a/b are a, and 1/b. WHY? Shouldn't the terms be just a and b?
I wish I knew what you were asking here. I see an expression with only one term, namely (a/b). A more complex relation might be asked for "in terms of a/b". but I am not at all sure what you are intending here. What do you then mean by "terms"? Do you mean perhaps "variables"?

 July 27th, 2009, 11:48 PM #4 Newbie   Joined: May 2009 Posts: 7 Thanks: 0 Re: terms of a over b The terms of a fraction are: the nominator and the denominator. First one is the number written "above" the fraction, and the other one is "below" and is used when doing the least common factor. So, when having the fraction a/b, the terms of this expression are a and b. And that' s all.
August 25th, 2009, 08:32 AM   #5
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Re: terms of a over b

Quote:
 Originally Posted by riponks The terms of a/b are a, and 1/b. WHY? Shouldn't the terms be just a and b?
The "terms of an expression" are usually separated by + or - signs. a/b is a single term expression, expressed "in terms of variables [or constants] a and b".

If you had (ab + 1)/b, that could be rewritten as a + (1/b), and you'd have an expression in terms of a and b, as is the original, or in terms of a and (1/b), as you wish. You see, you can form an expression "in terms of" anything you like, so long as it is consistent with an original expression. The thing would be to not mix them up. If wanting in terms of a and (1/b), the original would not do, and you'd have had to changed it to suit as in the second expression.

Sounds like a bunch of gobbledegook, but it's not if you stop and think about it.

 September 24th, 2009, 03:50 AM #6 Newbie   Joined: Sep 2009 Posts: 27 Thanks: 1 Re: terms of a over b If you consider a*(1/b) = a/b, then the terms of the first could be considered as a and (1/b). However, I do agree with mathpedia that the terms of a/b are a and b for simplicity's sake. In essence, I'd assume they're both correct

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