document.write( "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 \n" ); document.write( "

Algebra.Com's Answer #285315 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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when the reciprocal of three times a number is subtracted from the reciprocal of
\n" ); document.write( " the subtracted from the reciprocal of the number,
\n" ); document.write( " the results is one sixth.find the number
\n" ); document.write( ":
\n" ); document.write( "Rewrite this so it makes sense.
\n" ); document.write( "\"when the reciprocal of three times a number is subtracted from the reciprocal of the number, the results is one sixth.\" find the number.
\n" ); document.write( ":
\n" ); document.write( "Let x = the number
\n" ); document.write( " $\"1%2Fx\"$ - $\"3%2Fx\"$ = $\"1%2F6\"$
\n" ); document.write( "Multiply by 6x
\n" ); document.write( "6x* $\"1%2Fx\"$ - 6x $\"3%2Fx\"$ = 6x $\"1%2F6\"$
\n" ); document.write( "cancel the denominators and you have:
\n" ); document.write( "6 - 6(3) = x
\n" ); document.write( "6 - 18 = x
\n" ); document.write( "-12 = x
\n" ); document.write( "the number is -12
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that's true
\n" ); document.write( " $\"1%2F%28-12%29\"$ - $\"3%2F%28-12%29\"$ =
\n" ); document.write( "Minus a minus is a plus
\n" ); document.write( " $\"-1%2F12\"$ + $\"3%2F12\"$ = $\"2%2F12%29+reduces+to+%7B%7B%7B1%2F6\"$
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