SOLUTION: I have the following problem, not positive that I've figured it right. Could someone help me please. Thank you. When the reciprocal of three times a number is subtracted from the r

Question 130187: I have the following problem, not positive that I've figured it right. Could someone help me please. Thank you. When the reciprocal of three times a number is subtracted from the reciprocal of the number, the result is one-sixth. Find the number. I came up with x+3x-x=1/6 x=1/18 Is this correct? Thank you for your help.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
No intention to damage your self-esteem here, but you are not even close.

The reciprocal of a number is just 1 divided by that number. So if x is your number, the reciprocal is .

You are asked to take the reciprocal of 3 times a number: and subtract that from the reciprocal of the number, so:

And this is equal to one-sixth, so:

The common denominator is 3x, so:

Check the answer:

Answer checks.
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