Fractional Algebriac Equation help!!  TOPIC_SOLVED

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Fractional Algebriac Equation help!!

Postby Lotrnerd on Sun Sep 16, 2012 9:10 pm

Hi, when I try to solve the equation below, I come up with 36, as seen below. I multiply each term by two in order to get rid of the fractions. The correct answer is 72. What am I doing wrong?

a+b+c+d = 180

b = a/2
c=b/2
d=3c


a + a/2 + (a/2)/2 + 3[(a/2)/2] = 180
which becomes...
a + a/2 + (a/2 * 1/2) + 3((a/2) * (1/2)) = 180
which becomes...
2a + a + a + 6a = 360
which becomes...
10a=360
which becomes...
a=36
Lotrnerd
 
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Re: Fractional Algebriac Equation help!!  TOPIC_SOLVED

Postby Matt on Sun Sep 16, 2012 11:16 pm

Hi Lotrnerd,

Minor mistake here:

a + a/2 + (a/2)/2 + 3[(a/2)/2] = 180
a + a/2 + (a/2 * 1/2) + 3((a/2) * (1/2)) = 180
a + a/2 + a/4 + 3a/4 = 180

Here you have to multiply by 4 to clear the fractions:

4a + 2a + a + 3a = 720
10a = 720
a = 72
Matt
 
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