SOLUTION: Solve the following equation for x. (1/4) + (1/5) = (1/x)

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Question 67510: Solve the following equation for x.
(1/4) + (1/5) = (1/x)

Found 2 solutions by bam878s, stanbon:
Answer by bam878s(77) About Me  (Show Source):
You can put this solution on YOUR website!
We have 1%2F4 + 1%2F5 = 1%2Fx
First, let's find the common denominator of 1%2F4 and 1%2F5 and add them.
We know both 4 and 5 will multiply into 20, so let's 20 as our common denominator.
1%2F4 + 1%2F5 = 5%2F20 + 4%2F20 = 9%2F20
So now we have,
9%2F20 = 1%2Fx First let's multiply both sides by x
9%2F20x = 1%2Fx*x
9%2F20x = 1 (Now divide both sides by 9%2F20)
%289%2F20%29%2F%289%2F20%29x = 1%2F%289%2F20%29
x = 1%2F%289%2F20%29 = 20%2F9
Hope this helps you!!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the following equation for x.
(1/4) + (1/5) = (1/x)
(9/20)=1/x
x=20/9
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Cheers,
Stan H.