document.write( "Question 1185156: Express as a fraction in simplest form:\r
\n" ); document.write( "\n" ); document.write( "8+16+24+…+784/6+12+18+…+588
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Algebra.Com's Answer #815928 by MathLover1(20855)\"\" \"About 
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Express as a fraction in simplest form:
\n" ); document.write( "\"8%2B16%2B24\"+…+\"784\"/\"6%2B12%2B18\"+…+\"588\"\r
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\n" ); document.write( "\n" ); document.write( "numerator is:\r
\n" ); document.write( "\n" ); document.write( "\"8%2B16%2B24\"+…+\"784\"-> find nth term formula\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=8%2B8%28n-1%29\"
\n" ); document.write( "\"a%5Bn%5D=8%2B8n-8\"
\n" ); document.write( "\"a%5Bn%5D=8n\"\r
\n" ); document.write( "\n" ); document.write( "last term is \"784\", so \"n\" is\r
\n" ); document.write( "\n" ); document.write( "\"784=8n\"
\n" ); document.write( "\"n=784%2F8\"
\n" ); document.write( "\"n=98\"\r
\n" ); document.write( "\n" ); document.write( "denominator is:\r
\n" ); document.write( "\n" ); document.write( "\"6%2B12%2B18\"+…+\"588\"\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=6%2B6%28n-1%29\"
\n" ); document.write( "\"a%5Bn%5D=6%2B6n-6\"
\n" ); document.write( "\"a%5Bn%5D=6n\"\r
\n" ); document.write( "\n" ); document.write( "last term is \"588\", so\"+n\" is
\n" ); document.write( "\"588=6n\"
\n" ); document.write( "\"n=98\"-> there are \"98\" terms in both numerator and denominator\r
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\n" ); document.write( "\n" ); document.write( "then sum of each sequence is:\r
\n" ); document.write( "\n" ); document.write( "\"sum%288n%2C+n=1%2C98%29=+38808\"\r
\n" ); document.write( "\n" ); document.write( "\"sum%28+6n%2Cn=1%2C98%29+=+29106\"\r
\n" ); document.write( "\n" ); document.write( "finally, you have \r
\n" ); document.write( "\n" ); document.write( "\"38808%2F29106=4%2F3\"\r
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