document.write( "Question 698838: The denominator of a proper fraction is 1 less than twice the numerator. The difference between the digits of the numerator and denominator is 3. Find the fraction and its reciprocal. \n" ); document.write( "
Algebra.Com's Answer #431156 by ankor@dixie-net.com(22740)\"\" \"About 
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The denominator of a proper fraction is 1 less than twice the numerator.
\n" ); document.write( " The difference between the digits of the numerator and denominator is 3.
\n" ); document.write( " Find the fraction and its reciprocal.
\n" ); document.write( ":
\n" ); document.write( "Since it is a proper fraction we know that d > n
\n" ); document.write( "An equation for each statement
\n" ); document.write( ":
\n" ); document.write( "d = 2n - 1
\n" ); document.write( "and
\n" ); document.write( "d - n = 3
\n" ); document.write( "d = (n+3)
\n" ); document.write( "Replace d in the 1st equation
\n" ); document.write( "n + 3 = 2n - 1
\n" ); document.write( "3 + 1 = 2n - n
\n" ); document.write( "n = 4
\n" ); document.write( "then
\n" ); document.write( "d = 4 + 3
\n" ); document.write( "d = 7
\n" ); document.write( ":
\n" ); document.write( "\"4%2F7\" is the fraction and the reciprocal: \"7%2F4\"
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