document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=280501>Question 280501</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you write the ratio 27:105 as a fraction in simplest form </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #203883 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=203883\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Any ratio a:b can be written as the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that 27:105 can be written as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F105 ALIGN=MIDDLE  ALT=\"27%2F105\"   DISABLED_style= \"max-width:90%; height:auto;\" >. Now let's reduce <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F105 ALIGN=MIDDLE  ALT=\"27%2F105\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\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=27%2F105 ALIGN=MIDDLE  ALT=\"27%2F105\"   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" );
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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=27 ALIGN=MIDDLE  ALT=\"27\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=105 ALIGN=MIDDLE  ALT=\"105\"   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" );
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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" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2827%2F%29%2F%28105%2F%29 ALIGN=MIDDLE  ALT=\"%2827%2F%29%2F%28105%2F%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Plug in the numerator, denominator, and the GCF<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%289%29%2F%28105%2F%29 ALIGN=MIDDLE  ALT=\"%289%29%2F%28105%2F%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide 27 by  to get 9. This is now the new numerator.<BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F35 ALIGN=MIDDLE  ALT=\"9%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now divide 105 by  to get 35. This is now the new denominator.<BR>\n" );
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document.write( "  So  <BR>\n" );
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document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2827%2F%29%2F%28105%2F%29=9%2F35 ALIGN=MIDDLE  ALT=\"%2827%2F%29%2F%28105%2F%29=9%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  This means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F105 ALIGN=MIDDLE  ALT=\"27%2F105\"   DISABLED_style= \"max-width:90%; height:auto;\" > reduces to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F35 ALIGN=MIDDLE  ALT=\"9%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "  In other words, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=27%2F105=9%2F35 ALIGN=MIDDLE  ALT=\"27%2F105=9%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "So the ratio 27:105 converts to the fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F35 ALIGN=MIDDLE  ALT=\"9%2F35\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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