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please help!!!!!!!!

What fraction must be subtracted from sum of 1/4 and 1/6 to have an avg of 1/12 of all the three fractions?

 Jun 30, 2016
 #1
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0

Solve for x:

 

1/4 + 1/6 - 1/x =1/12 , solve for x
5/12-1/x = 1/12

 

Bring 5/12-1/x together using the common denominator 12 x:
(5 x-12)/(12 x) = 1/12

 

Cross multiply:
12 (5 x-12) = 12 x

 

Expand out terms of the left hand side:
60 x-144 = 12 x

 

Subtract 12 x-144 from both sides:
48 x = 144

 

Divide both sides by 48:
Answer: |  x = 3  OR THE FRACTION IS: 1/3

 Jun 30, 2016
 #2
avatar+128475 
+5

Here's the way I see this one.......

 

Let x be the fraction......and we have

 

 [(1/4) + (1/6) - x ] / 3  =  1/12    simplify

 

[ 10/24 - x] / 3  =  = 1/12   multiply both sides by 3

 

10/24 - x =  3/12      simplify

 

5/12  - x =  1/4         rearrange

 

5/12 - 1/4  = x      simplify again

 

5/12  -  3/12   = x

 

2/12  = x    

 

1/6 = x

 

 

cool cool cool

 Jun 30, 2016
 #3
avatar+118609 
0

We seem to need an adjudicator here   :))

 

What fraction must be subtracted from sum of 1/4 and 1/6 to have an avg of 1/12 of all the three fractions?

 

\(\frac{[\frac{1}{4}-x]+[\frac{1}{6}-x]+x}{3}=\frac{1}{12}\\ [\frac{1}{4}-x]+[\frac{1}{6}-x]+x=\frac{3}{12}\\ \frac{1}{4}-x+\frac{1}{6}-x+x=\frac{1}{4}\\ \frac{1}{4}+\frac{1}{6}-x=\frac{1}{4}\\ \frac{1}{6}-x=0\\ x=\frac{1}{6}\\ \)

 

Yep - I got to agree with CPhill on this one :))

 Jul 2, 2016

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