document.write( "Question 623774: One number is thee more than another. Assume that the first number is x. Create a rational expression to represent the difference of the reciprocals of the two numbers. Simplify your answer. \n" ); document.write( "

Algebra.Com's Answer #392334 by math-vortex(648) $\"\"$ $\"About$

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document.write( "Hi, there--\r\n" );
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document.write( "The Problem:\r\n" );
document.write( "One number is three more than another. Assume that the first number is x. Create a rational \r\n" );
document.write( "expression to represent the difference of the reciprocals of the two numbers. Simplify your answer.\r\n" );
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document.write( "A Solution:\r\n" );
document.write( "Let x be the first number.\r\n" );
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document.write( "Since the second number is three more than the first, we can write it as x+3.\r\n" );
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document.write( "The reciprocal of x is 1/x.\r\n" );
document.write( "The reciprocal of x+3 is 1/(x+3).\r\n" );
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document.write( "We can write the difference of the reciprocals as\r\n" );
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document.write( "To simplify, we want to find a common denominator for x and x+3. Let's use x(x+3).\r\n" );
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document.write( "Please email me if you have questions about the solution. I'd appreciate the feed back and I'd be \r\n" );
document.write( "glad to help you sort it out.\r\n" );
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document.write( "Ms.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
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