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Home > Education > Homework Help > Math & Sciences   »   Algebra signed fractions

 
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Old Oct 22, 2009, 03:57 PM
Kaykay09
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Algebra signed fractions

Okay so just starting algebra this year, and came upon the question: x + 4/7 = 3/8

and the answer is - 11/56....where did the negative come from?? and why is it negative and not posotive?? please help!!! and remember i'm only starting algebra please explain in simplest terms possible

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Old Oct 22, 2009, 04:01 PM   #2  
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Try thinking about it knowing what relation the 56 has with the 7 and 8? Then think about creating common denominators for all the fractions from there? Let me know if this gets you anywhere.
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Old Oct 22, 2009, 04:11 PM   #3  
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I am able to find the answer ok, I just don't understand why it is a -(negative)... I don't see where the - sign fit in....
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Old Oct 22, 2009, 04:14 PM   #4  
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Quote:
Originally Posted by Kaykay09 View Post
I am able to find the answer ok, I just don't understand why it is a -(negative)... I don't see where the - sign fit in....
The answer fraction would be negative becuase when you change all the fractions to common denominators it would make the 4 and 3 greater than they are now. Making the fractions that they give you in the equation would creater greater fractions than the -11/56? Does this help at all?
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Old Oct 22, 2009, 07:39 PM   #5  
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x= 3/8 - 5/7 ; rewriting

5/7 = ~.0.57
.......(use google as a calculator - just type 5/7 in the google search bar)
3/8= 0.375

X ~= 0.375 - 0.57 ;3/8 is smaller than 5/7

Now do you see where the negative sign comes from

PS: That isn't the way to do the problem because of the aproximations.

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Sprung09 agrees: Exactly, you explained that so much easier than I did.
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Old Oct 22, 2009, 07:43 PM   #6  
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Hey, I have to own up to my reputation once and a while. You can't readily tell if one is bigger than the other one at this stage in development.
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Old Oct 24, 2009, 01:26 PM   #7  
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wow! thanks guys!! yeah those answers totally helped me out alot..... i get it now....since 3/8 is smaller than 4/7 that means that it would be a negative...gracias!!
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Old Oct 24, 2009, 01:39 PM   #8  
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You can easily tell that when the common denominator is 8 * 7 or 56
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