My Math Forum fraction addition or product?

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 December 22nd, 2015, 07:07 AM #1 Newbie   Joined: Dec 2015 From: Greece Posts: 2 Thanks: 0 fraction addition or product? Hi all ! I always knew that $\displaystyle a\frac{2}{3}$ was $\displaystyle a * \frac{2}{3}$ but on the SAT they say it's the same thing as $\displaystyle a +\frac{2}{3}$ What's right, what's wrong? Last edited by skipjack; December 22nd, 2015 at 10:19 AM.
 December 22nd, 2015, 07:12 AM #2 Member   Joined: Dec 2015 From: Down Under Posts: 32 Thanks: 3 They must be referring to a mixed fraction, because otherwise you're right and they're wrong. Unless a is equal to -2. Then you're both right Last edited by Relentless; December 22nd, 2015 at 07:17 AM.
 December 22nd, 2015, 07:17 AM #3 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,557 Thanks: 2558 Math Focus: Mainly analysis and algebra If I talk about $2\frac12$ apples, I am referring to more than two fruit. But almost exclusively in mathematics we'd write $2\frac12 = 2\cdot\frac12 = 2 \times \frac12 = 1$. "Two and a half" is expressed as $\frac52$.
 December 22nd, 2015, 07:50 AM #4 Newbie   Joined: Dec 2015 From: Greece Posts: 2 Thanks: 0 Alright, thanks
December 22nd, 2015, 03:18 PM   #5
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Quote:
 Originally Posted by Mathis Hi all ! I always knew that $\displaystyle a\frac{2}{3}$ was $\displaystyle a * \frac{2}{3}$ but on the SAT they say it's the same thing as $\displaystyle a +\frac{2}{3}$ What's right, what's wrong?
A variable written to the immediate left of a constant typically does not
indicate multiplication.

Example:

a7 does not mean the variable a multiplied by 7.

.

But 7a does.

Last edited by Math Message Board tutor; December 22nd, 2015 at 03:26 PM.

 December 22nd, 2015, 03:28 PM #6 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,557 Thanks: 2558 Math Focus: Mainly analysis and algebra If you are going to make that point, you should also point out that it doesn't mean addition either. $a7$ doesn't have any special meaning, so the context would rule. In the absence of any other meaning, it probably does mean multiplication, but since it is nonstandard notation, it's best avoided.
December 22nd, 2015, 06:32 PM   #7
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 Originally Posted by v8archie If you are going to make that point, you should also point out that it doesn't mean addition either. No, I should not. I would have no reason to. $a7$ doesn't have any special meaning, It doesn't have a meaning. so the context would rule. In the absence of any other meaning, it probably does mean multiplication, but since it is nonstandard notation, it's best avoided.
It doesn't mean multiplication. regardless if there was an intent to mean
multiplication.

 December 22nd, 2015, 07:01 PM #8 Math Team   Joined: Dec 2013 From: Colombia Posts: 7,557 Thanks: 2558 Math Focus: Mainly analysis and algebra If you were trying to help the OP, you'd have a reason to.
December 22nd, 2015, 07:32 PM   #9
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 Originally Posted by v8archie If you were trying to help the OP, you'd have a reason to.
If you were not trying to dodge what I just stated, you would not have posted the above.
But you dodged it with that. Don't bother changing the subject in response to something
I state and reveal how you can't stay with an argument.

 December 22nd, 2015, 07:48 PM #10 Member   Joined: Dec 2015 From: Down Under Posts: 32 Thanks: 3 I don't understand. I have never seen a pronumeral adjacent to a fraction on either side with the interpretation to add it. I can't see how it would be implied, or would be considered implied, unless it was a symbolic puzzle about a mixed fraction where the pronumeral is an integer or something.

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