document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=67305>Question 67305</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/093979862x/algebrahomeworkh>An Incremental Development</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find the number that is 5/6 of the way from 2 and 5/12 to 7 and 1/3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #47899 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=47899\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First, lets find the distance between 2 and 5/12 and 7 and 1/3\r<BR>\n" );
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document.write( "2 and 5/12 =29/12<BR>\n" );
document.write( "7 and 1/3=88/12\r<BR>\n" );
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document.write( "Distance between them is 88/12-29/12 which = 59/12\r<BR>\n" );
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document.write( "Now, 5/6 of 59/12 =\r<BR>\n" );
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document.write( "(5/6)(59/12)=295/72\r<BR>\n" );
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document.write( "Also, 1/6 of 59/12=(1/6)(59/12)=59/72\r<BR>\n" );
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document.write( "So, 5/6 of the distance between them is 295/72 units\r<BR>\n" );
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document.write( "And, 2 and 5/12 +295/72 is the number we are looking for<BR>\n" );
document.write( "(2 and 5/12=29/12=6(29)/72)=174/72\r<BR>\n" );
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document.write( "174/72+295/72=469/72 =6 and 37/72 units----the number we are looking for\r<BR>\n" );
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document.write( "Now, let's work it going in the other direction:\r<BR>\n" );
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document.write( "7 and 1/3 minus 1/6 of 59/12---should give us the same answer\r<BR>\n" );
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document.write( "7 and 1/3 minus 59/72=\r<BR>\n" );
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document.write( "528/72-59/72=469/72=6 and 37/72 units------------the number we are looking for\r<BR>\n" );
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document.write( "Hope this helps----ptaylor\r<BR>\n" );
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