document.write( "Question 364129: The reciprocal of half a number increased by half the reciprocal of a number is one half. Find the number...please :) \n" ); document.write( "

Algebra.Com's Answer #259707 by amoresroy(361) $\"\"$ $\"About$

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The reciprocal of half a number increased by half the reciprocal of a number is one half. Find the number...please :)\r
\n" ); document.write( "\n" ); document.write( "Hi\r
\n" ); document.write( "\n" ); document.write( "Let x = the number\r
\n" ); document.write( "\n" ); document.write( " x/2 = half the number\r
\n" ); document.write( "\n" ); document.write( " 2/x = the reciprocal of half the number
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\n" ); document.write( " 1/2x= half the reciprocal of the number\r
\n" ); document.write( "\n" ); document.write( "Here's the equation:\r
\n" ); document.write( "\n" ); document.write( " 2/x + 1/2x = 1/2\r
\n" ); document.write( "\n" ); document.write( "Multiply both sides of equation by 2x to cancel denominator\r
\n" ); document.write( "\n" ); document.write( " 4 + 1 = x\r
\n" ); document.write( "\n" ); document.write( " x = 5\r
\n" ); document.write( "\n" ); document.write( "The number is 5
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\n" ); document.write( "Regards,
\n" ); document.write( "Roy Amores \n" ); document.write( "

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