document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208605>Question 1208605</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If 1/8 + 1/3 = 1/N, what is the value of N?\r<BR>\n" );
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document.write( "I have worked on this problem and so far I have gotten to the point where 1/8 +1/3 =11/24 and I am stuck on where to go from here. I also need to write a formal solution for this so any insight regarding how to write a formal solution would also be greatly appreciated. </SPAN>\n" );
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document.write( "There are at least two methods to solve this.\r<BR>\n" );
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document.write( "Method 1<BR>\n" );
document.write( "1/8 + 1/3 = 1/N<BR>\n" );
document.write( "3/24 + 8/24 = 1/N<BR>\n" );
document.write( "(3+8)/24 = 1/N<BR>\n" );
document.write( "11/24 = 1/N ........... this is what you have so far<BR>\n" );
document.write( "11N = 24 ........... cross multiply<BR>\n" );
document.write( "<font color=red>N = 24/11</font>\r<BR>\n" );
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document.write( "Method 2<BR>\n" );
document.write( "1/8 + 1/3 = 1/N<BR>\n" );
document.write( "24N*(1/8 + 1/3) = 24N(1/N) ........... multiply both sides by LCD to clear out fractions<BR>\n" );
document.write( "24N*(1/8) + 24N*(1/3) = 24N(1/N)<BR>\n" );
document.write( "3N + 8N = 24<BR>\n" );
document.write( "11N = 24<BR>\n" );
document.write( "<font color=red>N = 24/11</font>\r<BR>\n" );
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document.write( "Side note:<BR>\n" );
document.write( "24/11 = 2.181818... <BR>\n" );
document.write( "the \"18\" repeats forever.<BR>\n" );
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