document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=978938>Question 978938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> TWO FRACTIONS BETWEEN 1/2 AND 3/4 ARE </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #600277 by </B><A HREF=/tutors/aboutme.mpl?userid=kmarcus1><B>kmarcus1(4)</B></A><img src=\"/images/stars/iconNewId_16x16.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=kmarcus1><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=kmarcus1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=600277\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> One way to write a fraction between ANY two other fractions is to average the numerators and denominators respectively.\r<BR>\n" );
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document.write( "Eg. a fraction between a/b and c/d is (a+c)/(b+d) (assuming that both fractions are the same sign). (this can be proven mathematically, and is a useful exercise for the mathematically literate).\r<BR>\n" );
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document.write( "So.. a fraction between 1/2 and 3/4 is: (1+3)/(2+4) = 4/6 = 2/3\r<BR>\n" );
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document.write( "A fraction between 1/4 and 1/2 is: (1+1)/(4+2) = 2/6 = 1/3.\r<BR>\n" );
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document.write( "Of course, there are MANY fractions which meet these conditions, but this general rule will always guarantee to find one. </SPAN>\n" );
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