document.write( "Question 1793: solve 3p/2 - 5p/3=1/5 \n" ); document.write( "
Algebra.Com's Answer #630 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
this starts as a fractions question ten finishes as a simple algebra problem.\r
\n" ); document.write( "\n" ); document.write( "Fractions...we need to multiply every term (all 3) by the same number, so that the 2, the 3 and 5 in the denominators all cancel with it, so we get rid of the fractions. That number is the lowest common multiple of 2,3 and 5...namely 30!\r
\n" ); document.write( "\n" ); document.write( "so, we get \"%2830%283p%2F2%29%29+-+%2830%285p%2F3%29%29+=+%2830%281%2F5%29%29\"\r
\n" ); document.write( "\n" ); document.write( "cancelling, we get \"45p+-+50p+=+6\", which cancels further to -5p = 6.\r
\n" ); document.write( "\n" ); document.write( "Hence p = -\"6%2F5\"\r
\n" ); document.write( "\n" ); document.write( "Looking at this, the far simpler solution would be to just combine the 2 fractions on the lefthand side first...\r
\n" ); document.write( "\n" ); document.write( "\"%289p-10p%29%2F%286%29+=+1%2F5\"
\n" ); document.write( "\"-%28p%2F6%29+=+1%2F5\"\r
\n" ); document.write( "\n" ); document.write( "therefore p = -\"6%2F5\"\r
\n" ); document.write( "\n" ); document.write( "that is much more elegant a solution :-)\r
\n" ); document.write( "\n" ); document.write( "cheers
\n" ); document.write( "Jon.
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