SOLUTION: I have been working on this problem for over a half hour. 1/4+1/6=1/x I have tried LCD which I know you are supposed to do which is twelve. I got to where 1/4=3 and 1/6=2 but I

Question 343339: I have been working on this problem for over a half hour.
1/4+1/6=1/x
I have tried LCD which I know you are supposed to do which is twelve. I got to where 1/4=3 and 1/6=2 but I don't know what to do for 1/x.
So what I have is 3+2=1/x, what do I do next?
Answer by haileytucki(390) (Show Source): You can put this solution on YOUR website!
(1)/(4)+(1)/(6)=(1)/(x)
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
(1)/(x)=(1)/(4)+(1)/(6)
To add fractions, the denominators must be equal. The denominators can be made equal by finding the least common denominator (LCD). In this case, the LCD is 12. Next, multiply each fraction by a factor of 1 that will create the LCD in each of the fractions.
(1)/(x)=(1)/(6)*(2)/(2)+(1)/(4)*(3)/(3)
Complete the multiplication to produce a denominator of 12 in each expression.
(1)/(x)=(2)/(12)+(3)/(12)
Combine the numerators of all fractions that have common denominators.
(1)/(x)=(2+3)/(12)
Add 3 to 2 to get 5.
(1)/(x)=(5)/(12)
Since there is one rational expression on each side of the equation, this can be solved as a ratio. For example, (A)/(B)=(C)/(D) is equivalent to A*D=B*C.
1*12=5*x
Since x is on the right-hand side of the equation, switch the sides so it is on the left-hand side of the equation.
5*x=1*12
Multiply 5 by x to get 5x.
5x=1*12
Multiply 1 by 12 to get 12.
5x=12
Divide each term in the equation by 5.
(5x)/(5)=(12)/(5)
Simplify the left-hand side of the equation by canceling the common factors.
x=(12)/(5)
answer 12/5 or your could break it down more and say
(12)/(5)
The approximate value of (12)/((5)) is 2.4.
2.4
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