document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=757628>Question 757628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello!<BR>\n" );
document.write( "I'm in grade 9. I work from a textbook called, \"Math Makes Sense\"<BR>\n" );
document.write( "In one of the questions I was told to do was, \"Write the rational number represented by each letter on the number line, as a fraction\" I've looked through the textbook to find step by step instructions, I've checked online, asked around for help but none of them seem to help. I've basically tried everything I could. The thing that most confused me was the number line. It was put like this,\r<BR>\n" );
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document.write( "-|---|---|---|---|---|---|---|---|-<BR>\n" );
document.write( "-12.........E..-11..F..........-10\r<BR>\n" );
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document.write( "I did look at the answer at the back of the textbook which was, E= 45/4 F= 43/4.<BR>\n" );
document.write( "All I'm trying to figure out is how they got that! If you could help me with this, it would be gladly appreciated.\r<BR>\n" );
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document.write( "Thanks for taking your time to read this.\r<BR>\n" );
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document.write( "-Ariel R.   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #460949 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=460949\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A number line is like a ruler, with marking for measurements.  You show marks labeled -10, -11, and -12, and there are some markings with no numbers written.  The markings between your -10 and -11 show four equal increments; this means the difference between each number, marked labeled or unlabeled, is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29 ALIGN=MIDDLE  ALT=\"%281%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The reported value for F in your answer key is correct.  F sits three quarts of the way from -10 to -11.  It NEEDS to be reported as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-43%2F4%29 ALIGN=MIDDLE  ALT=\"%28-43%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  The negative sign is necessary.  Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-43%2F3 ALIGN=MIDDLE  ALT=\"-43%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-10%263%2F4 ALIGN=MIDDLE  ALT=\"-10%263%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "What would you call E?  It is one mark to the left of -11, and again, there are four increments between -11 and -12, so this ONE between NEGATIVE ELEVEN and NEGATIVE TWELVE is cut into increments of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  E then sits at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11%261%2F4 ALIGN=MIDDLE  ALT=\"-11%261%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  What is this as the equivalent number of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >'s?\r<BR>\n" );
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document.write( "For practical purposes, an improper fraction is also a rational number.  Both a proper fraction and an improper fraction are rational numbers. </SPAN>\n" );
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