document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=484159>Question 484159</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many 3 1/3' feet pieces of wire can you cut from a 68' foot long  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #852369 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52874)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=852369\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "How many 3 1/3' feet pieces of wire can you cut from a 68' foot long <BR>\n" );
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document.write( "3 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3 ALIGN=MIDDLE  ALT=\"1%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A3%2B1%29%2F3 ALIGN=MIDDLE  ALT=\"%283%2A3%2B1%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=10%2F3 ALIGN=MIDDLE  ALT=\"10%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=68%2F%28%2810%2F3%29%29 ALIGN=MIDDLE  ALT=\"68%2F%28%2810%2F3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2868%2A3%29%2F10 ALIGN=MIDDLE  ALT=\"%2868%2A3%29%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=204%2F10 ALIGN=MIDDLE  ALT=\"204%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F10 ALIGN=MIDDLE  ALT=\"4%2F10\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 20 <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F5 ALIGN=MIDDLE  ALT=\"2%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r\n" );
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document.write( "So, you may have 20 whole pieces of the required length and the 21-th piece of the shorter length.\r\n" );
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document.write( "<U>ANSWER</U>.  You can cut 20 pieces of the length 3 1/3' long.\r\n" );
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document.write( "Solved.\r<BR>\n" );
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document.write( "This is all what you need to do.  This is all your teacher wants from you.\r<BR>\n" );
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document.write( "This problem is specially created for beginner students to teach them to work freely <BR>\n" );
document.write( "with improper fractions and to convert freely mixed fractions to improper fractions.\r<BR>\n" );
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document.write( "So, the way as I solved the problem for you, is the way how this problem is designed to teach you, <BR>\n" );
document.write( "in precise accordance with your school curriculum.\r<BR>\n" );
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document.write( "If you will avoid manipulating with fractions, you will never master this technique<BR>\n" );
document.write( "and always will fill yourself as a person who missed something important in your school mathematical education.\r<BR>\n" );
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document.write( "So, absorb everything from my post - - - use every opportunity.\r<BR>\n" );
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document.write( ". . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .\r<BR>\n" );
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document.write( "As this problem is posed, worded and presented in the post, it is clear<BR>\n" );
document.write( "that this request is to provide a standard method/methodology/solution <BR>\n" );
document.write( "in the frame of a typical school curriculum for a beginner student,<BR>\n" );
document.write( "who first time touches fractions and makes his/her first steps.\r<BR>\n" );
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document.write( "Therefore, if the visitor is not a person of caliber Archimedes/Galileo/Newton/Euler/Einstein,<BR>\n" );
document.write( "(which is, obviously, not a case), the first way for him is to learn a technique as presented in my post, <BR>\n" );
document.write( "without being distracted. Any sidestep for such a visitor is a road to nowhere.\r<BR>\n" );
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document.write( "Once the standard methodology is mastered, this student can expand their knowledge in any other way <BR>\n" );
document.write( "they find most suitable - for example, solving by the way as proposed by the tutor @greenestamps.\r<BR>\n" );
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document.write( "As I see from the posts of other tutors, related to this problem, I am not alone in this my position.<BR>\n" );
document.write( "Other tutors provided similar solutions to mine, sharing my point that this kind of technique must be studied first, <BR>\n" );
document.write( "because it establishes a basis.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;Some people propose to build a house starting from the roof, <BR>\n" );
document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;but I prefer to build it starting from the ground.\r<BR>\n" );
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document.write( "&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;A house of knowledge in the mind of students - it is what I mean.\r<BR>\n" );
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