document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6385>Question 6385</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am having trouble with this question, Add the fractions        q<BR>\n" );
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document.write( "                                                               q^2+5q+6<BR>\n" );
document.write( "and      1<BR>\n" );
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document.write( "     q^2+3q+2   \r<BR>\n" );
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document.write( "Can somone please help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3448 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3448\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> add the fractions 1/2 and 1/3...the \"simplest\" way is to do the following:\r<BR>\n" );
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document.write( "--> multiply both fractions by 1, so they are unchanged but note my choice of \"1\"...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29%2A%283%2F3%29+%2B+%281%2F3%29%2A%282%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29%2A%283%2F3%29+%2B+%281%2F3%29%2A%282%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > doing this now lets me convert the denominators to the same number in both parts of the sum:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F6+%2B+2%2F6 ALIGN=MIDDLE  ALT=\"3%2F6+%2B+2%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be added as 5/6\r<BR>\n" );
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document.write( "The critical thing was \"how to get the fraction version of \"1\"\"...we get these by looking at what number each denominator should be multiplied with to make the denominators the same number. This is a convoluted explanation, to something you may well understand, but the same thoughts are used in algebraic fractions:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2F%28q%5E2%2B5q%2B6%29%29+%2B+%281%2F%28q%5E2%2B3q%2B2%29%29 ALIGN=MIDDLE  ALT=\"%28q%2F%28q%5E2%2B5q%2B6%29%29+%2B+%281%2F%28q%5E2%2B3q%2B2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >... same problem...what \"number\" do we need?\r<BR>\n" );
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document.write( "well, lets write the 2 fractions in the following way:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2F%28%28q%2B3%29%28q%2B2%29%29%29+%2B+%281%2F%28%28q%2B2%29%28q%2B1%29%29%29 ALIGN=MIDDLE  ALT=\"%28q%2F%28%28q%2B3%29%28q%2B2%29%29%29+%2B+%281%2F%28%28q%2B2%29%28q%2B1%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "see if you understand my next step of multiplying both fractions by \"1\":\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2F%28%28q%2B2%29%28q%2B3%29%29%29%2A%28%28q%2B1%29%2F%28q%2B1%29%29+%2B+%281%2F%28%28q%2B1%29%28q%2B2%29%29%29%2A%28%28q%2B3%29%2F%28q%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "doing this makes the denominator on both parts the same, namely (q+1)(q+2)(q+3)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%28q%2B1%29%29%2F%28%28q%2B1%29%28q%2B2%29%28q%2B3%29%29+%2B+%28q%2B3%29%2F%28%28q%2B1%29%28q%2B2%29%28q%2B3%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We can now add to give:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%5E2%2Bq%2Bq%2B3%29%2F%28%28q%2B1%29%28q%2B2%29%28q%2B3%29%29+ ALIGN=MIDDLE  ALT=\"%28q%5E2%2Bq%2Bq%2B3%29%2F%28%28q%2B1%29%28q%2B2%29%28q%2B3%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "jon.<BR>\n" );
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