document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=86519>Question 86519</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0395977223/algebrahomeworkh>algebra structure and method</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> I don't know how check to make sure the answer is right.<BR>\n" );
document.write( "1500/45=2000/x<BR>\n" );
document.write( "1500x=2000*45<BR>\n" );
document.write( "1500x=90001500x/1500=90000/1500<BR>\n" );
document.write( "x=90000/1500<BR>\n" );
document.write( "x=60<BR>\n" );
document.write( "I know the answer is correct but I need to check it now.<BR>\n" );
document.write( "Could you tell me how to do that.<BR>\n" );
document.write( "Thank you </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #62567 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=62567\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To check this, simply plug the solution back into the original equation\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2F45=2000%2F60 ALIGN=MIDDLE  ALT=\"1500%2F45=2000%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > plug in <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=60 ALIGN=MIDDLE  ALT=\"x=60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reduce the left side<BR>\n" );
document.write( "<TABLE  BORDER=1>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=reduce_fraction.solver>Reducing Fractions Calculator</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>In order to reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2F45 ALIGN=MIDDLE  ALT=\"1500%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal. <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500 ALIGN=MIDDLE  ALT=\"1500\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45 ALIGN=MIDDLE  ALT=\"45\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression= ALIGN=MIDDLE  ALT=\"\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: click <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/divisibility/find-greatest-common-factor.solver>here</a> if you need help with finding the GCF). So divide both the numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression= ALIGN=MIDDLE  ALT=\"\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  In other words, to reduce the fraction you do this<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction ALIGN=MIDDLE  ALT=\"%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281500%2F%29%2F%2845%2F%29 ALIGN=MIDDLE  ALT=\"%281500%2F%29%2F%2845%2F%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the numerator, denominator, and the GCF<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%29%2F%2845%2F%29 ALIGN=MIDDLE  ALT=\"%28100%29%2F%2845%2F%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide 1500 by  to get 100. This is now the new numerator.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3 ALIGN=MIDDLE  ALT=\"100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide 45 by  to get 3. This is now the new denominator.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  So  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281500%2F%29%2F%2845%2F%29=100%2F3 ALIGN=MIDDLE  ALT=\"%281500%2F%29%2F%2845%2F%29=100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2F45 ALIGN=MIDDLE  ALT=\"1500%2F45\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3 ALIGN=MIDDLE  ALT=\"100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1500%2F45=100%2F3 ALIGN=MIDDLE  ALT=\"1500%2F45=100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3=2000%2F60 ALIGN=MIDDLE  ALT=\"100%2F3=2000%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Reduce the right side<BR>\n" );
document.write( "<TABLE  BORDER=1>\n" );
document.write( "\n" );
document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=reduce_fraction.solver>Reducing Fractions Calculator</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT>In order to reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2F60 ALIGN=MIDDLE  ALT=\"2000%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the numerator and denominator must share a common factor. This common number must evenly divide into both of them without any remainder or decimal. <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  In order to completely reduce the fraction, you must divide the numerator and the denominator by the greatest common factor (GCF). The GCF of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000 ALIGN=MIDDLE  ALT=\"2000\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60 ALIGN=MIDDLE  ALT=\"60\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression= ALIGN=MIDDLE  ALT=\"\"   DISABLED_style= \"max-width:90%; height:auto;\" > (note: click <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/divisibility/find-greatest-common-factor.solver>here</a> if you need help with finding the GCF). So divide both the numerator and denominator by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression= ALIGN=MIDDLE  ALT=\"\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  In other words, to reduce the fraction you do this<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction ALIGN=MIDDLE  ALT=\"%28numerator%2FGCF%29%2F%28denominator%2FGCF%29=Reduced_Fraction\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282000%2F%29%2F%2860%2F%29 ALIGN=MIDDLE  ALT=\"%282000%2F%29%2F%2860%2F%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the numerator, denominator, and the GCF<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28100%29%2F%2860%2F%29 ALIGN=MIDDLE  ALT=\"%28100%29%2F%2860%2F%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide 2000 by  to get 100. This is now the new numerator.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3 ALIGN=MIDDLE  ALT=\"100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide 60 by  to get 3. This is now the new denominator.<BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  So  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282000%2F%29%2F%2860%2F%29=100%2F3 ALIGN=MIDDLE  ALT=\"%282000%2F%29%2F%2860%2F%29=100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2F60 ALIGN=MIDDLE  ALT=\"2000%2F60\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3 ALIGN=MIDDLE  ALT=\"100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2000%2F60=100%2F3 ALIGN=MIDDLE  ALT=\"2000%2F60=100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  <BR>\n" );
document.write( "  </TD></TR>\n" );
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document.write( "So now we're left with this\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100%2F3=100%2F3 ALIGN=MIDDLE  ALT=\"100%2F3=100%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which is true. So the answer is verified<BR>\n" );
document.write( " </SPAN>\n" );
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