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?
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
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
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 :))