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Jeffrey Spoon science forum beginner
Joined: 12 Jul 2006
Posts: 2

Posted: Wed Jul 12, 2006 3:04 pm Post subject:
Simplifying Algebraic expression



Don't laugh, I have a simpleton question. I have an expression:
(3+5) / (153) / (4/3) + (9/4)  (11/ x X = 0
The answer given to simplifying this is:
22  11 X = 0
Though I'm not sure how to get this. The furthest I got was:
8 / 12 / 86/24  33/24
How that becomes 22  11 is a mystery to me.
Thanks,

Jeffrey Spoon 

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Dave L. Renfro science forum Guru
Joined: 29 Apr 2005
Posts: 570

Posted: Wed Jul 12, 2006 3:07 pm Post subject:
Re: Simplifying Algebraic expression



Jeffrey Spoon wrote:
Quote:  Don't laugh, I have a simpleton question. I have an
expression: (3+5) / (153) / (4/3) + (9/4)  (11/ x X = 0

[snip rest]
Since division is not an associative operation, you need
to insert parentheses to avoid ambiguity.
Dave L. Renfro 

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amzoti science forum beginner
Joined: 18 Apr 2006
Posts: 33

Posted: Wed Jul 12, 2006 3:28 pm Post subject:
Re: Simplifying Algebraic expression



Jeffrey Spoon wrote:
Quote:  Don't laugh, I have a simpleton question. I have an expression:
(3+5) / (153) / (4/3) + (9/4)  (11/ x X = 0
The answer given to simplifying this is:
22  11 X = 0
Though I'm not sure how to get this. The furthest I got was:
8 / 12 / 86/24  33/24
How that becomes 22  11 is a mystery to me.
Thanks,

Jeffrey Spoon

Hello,
division is not an associative operation and your parentheses are
lacking and ambiguous.
Here is what you probably meant:
((3+5) / (153) / (4/3)) + (9/4)  (11/ x X = 0
Simplify the first set of parentheses:
((3+5) / (153) / (4/3)) = (8/12) / (4/3) = (8/12) * (3/4) = 2/4 = 1/2
Now we have:
(1/2) + (9/4)  (11/ X = 0
(1/2) + (9/4) = (11/4), so
(11/4)  (11/ X = 0
Multiply 8:
8 ( (11/4)  (11/ X = 0), yielding
22  11 X = 0
11X = 22
X = 2
I am not sure this really helps you, but hope you learn something from
it. 

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Badger science forum beginner
Joined: 07 May 2006
Posts: 38

Posted: Wed Jul 12, 2006 3:59 pm Post subject:
Re: Simplifying Algebraic expression



On Wed, 12 Jul 2006 15:04:46 GMT, Jeffrey Spoon
<JeffreySpoon@hotmail.com> wrote:
Quote: 
Don't laugh, I have a simpleton question. I have an expression:
(3+5) / (153) / (4/3) + (9/4)  (11/ x X = 0
The answer given to simplifying this is:
22  11 X = 0
Though I'm not sure how to get this. The furthest I got was:
8 / 12 / 86/24  33/24
How that becomes 22  11 is a mystery to me.
Thanks,

In case you're not familiar with 'order of operations' and 'operator
precedence', here's a link that provides an introduction:
<http://en.wikipedia.org/wiki/Order_of_operations>
Evaluating ...
(3+5) / (153) / (4/3) = 8 / 12 / (4/3) = 1/2
1/2 + 9/4 = 11/4
11/4  11 x / 8 = 0
22  11 x = 0
HTH 

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Jeffrey Spoon science forum beginner
Joined: 12 Jul 2006
Posts: 2

Posted: Sat Jul 15, 2006 4:12 pm Post subject:
Re: Simplifying Algebraic expression



In message <1152718131.097924.215740@m79g2000cwm.googlegroups.com>,
amzoti <amzoti@yahoo.com> writes
Quote: 
Hello,
division is not an associative operation and your parentheses are
lacking and ambiguous.
I am not sure this really helps you, but hope you learn something from
it.

That helped a lot, once I dusted off an old maths book and realised the
inversion and multiplication you do for fraction division. I should say,
about the brackets, they were not in the original book which I had just
copied. Thanks (and to Badger as well).

Jeffrey Spoon 

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