SOLUTION: when the reciprocal of three times a number is subtracted from the reciprocal of the subtracted from the reciprocal of thnumber, the results is one sixth.find the number

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Question 403481: when the reciprocal of three times a number is subtracted from the reciprocal of the subtracted from the reciprocal of thnumber, the results is one sixth.find the number
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
when the reciprocal of three times a number is subtracted from the reciprocal of
the subtracted from the reciprocal of the number,
the results is one sixth.find the number
:
Rewrite this so it makes sense.
"when the reciprocal of three times a number is subtracted from the reciprocal of the number, the results is one sixth." find the number.
:
Let x = the number
1%2Fx - 3%2Fx = 1%2F6
Multiply by 6x
6x*1%2Fx - 6x3%2Fx = 6x1%2F6
cancel the denominators and you have:
6 - 6(3) = x
6 - 18 = x
-12 = x
the number is -12
:
:
See if that's true
1%2F%28-12%29 - 3%2F%28-12%29 =
Minus a minus is a plus
-1%2F12 + 3%2F12 = 2%2F12%29+reduces+to+%7B%7B%7B1%2F6