document.write( "Question 680334: Two thirds of a number added to the reciprocal of the number yields 25/6. What is the number? \n" ); document.write( "
Algebra.Com's Answer #422297 by ReadingBoosters(3246)\"\" \"About 
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\"%282%2F3%29n+%2B+%281%2Fn%29+=+25%2F6\"
\n" ); document.write( "...
\n" ); document.write( "Multiply the entire equation by 6n to be rid of fractions
\n" ); document.write( "\"6n%282%2F3%29n+%2B+6n%281%2Fn%29+=+6n%2825%2F6%29\"
\n" ); document.write( "...
\n" ); document.write( "\"4n%5E2+%2B+6+=+25n\"
\n" ); document.write( "...
\n" ); document.write( "\"4n%5E2+-+25n+%2B+6+=+0\"
\n" ); document.write( "(4n - 1)(n - 6) = 0
\n" ); document.write( "n = 6
\n" ); document.write( "n = 1/4
\n" ); document.write( "...
\n" ); document.write( "The number can be \"highlight_green%286%29\" or \"highlight_green%28%281%2F4%29%29\"
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\n" ); document.write( "Check
\n" ); document.write( "\"%282%2F3%29%286%29+%2B+%281%2F6%29\" is \"12%2F3+%2B+1%2F6+=+24%2F6+%2B+1%2F6+=+25%2F6\" correct!
\n" ); document.write( "\"%282%2F3%29%281%2F4%29+%2B+4\" is \"2%2F12+%2B+4+=+2%2F12+%2B+48%2F12+=+50%2F12+=+25%2F6\" correct!
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