document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35317>Question 35317</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Adding rational #<BR>\n" );
document.write( "Cant figure this problem out..Any help will be appreciated.\r<BR>\n" );
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document.write( "5         1<BR>\n" );
document.write( "_____ + _______<BR>\n" );
document.write( "7x+35   42x+126\r<BR>\n" );
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document.write( "I tried factoring both Denominator<BR>\n" );
document.write( "7(x+5)   42(x+3)<BR>\n" );
document.write( "then 7(42)=294(x+5)(x+3)\r<BR>\n" );
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document.write( "I am lost after that </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21569 by </B><A HREF=/tutors/aboutme.mpl?userid=rapaljer><B>rapaljer(4671)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rapaljer><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=rapaljer><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21569\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F%287%28x%2B5%29%29+%2B1%2F%2842%28x%2B3%29%29+ ALIGN=MIDDLE  ALT=\"5%2F%287%28x%2B5%29%29+%2B1%2F%2842%28x%2B3%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Your problem was that you did not find the Lowest Common Denominator.  Notice that 7 divides evenly into 42, so the LCD = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=42%28x%2B5%29%28x%2B3%29+ ALIGN=MIDDLE  ALT=\"42%28x%2B5%29%28x%2B3%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, multiply the first fraction by 6(x+3) and the second fraction by (x+5):\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2F%287%28x%2B5%29%29%29%2A%28%286%28x%2B3%29%29%2F%286%28x%2B3%29%29%29+%2B%281%2F%2842%28x%2B3%29%29%29%2A%28%28x%2B5%29%2F%28x%2B5%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, the LCD is 42(x+3)(x+5), and that becomes the denominator of the fraction.  The numerator of the fraction becomes the sum of the numerators.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2830%28x%2B3%29+%2B+%28x%2B5%29+%29+%2F%2842%28x%2B3%29%28x%2B5%29%29+ ALIGN=MIDDLE  ALT=\"+%2830%28x%2B3%29+%2B+%28x%2B5%29+%29+%2F%2842%28x%2B3%29%28x%2B5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "NOW DON'T DIVIDE ANY OF THESE OUT!!  They look like factors, but they are NOT factors!!  Multiply out the numerators.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2830%28x%2B3%29+%2B+%28x%2B5%29+%29+%2F%2842%28x%2B3%29%28x%2B5%29%29+ ALIGN=MIDDLE  ALT=\"+%2830%28x%2B3%29+%2B+%28x%2B5%29+%29+%2F%2842%28x%2B3%29%28x%2B5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2830x%2B90+%2B+x%2B5%29%2F%2842%28x%2B3%29%28x%2B5%29%29+ ALIGN=MIDDLE  ALT=\"+%2830x%2B90+%2B+x%2B5%29%2F%2842%28x%2B3%29%28x%2B5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2831x%2B95+%29%2F%2842%28x%2B3%29%28x%2B5%29%29+ ALIGN=MIDDLE  ALT=\"+%2831x%2B95+%29%2F%2842%28x%2B3%29%28x%2B5%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "R^2 at SCC\r<BR>\n" );
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document.write( " </SPAN>\n" );
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