document.write( "Question 909300: How to derived an expression in the form p/q where p and q are integers for the recurring decimal 4.312121212 \n" ); document.write( "

Algebra.Com's Answer #552041 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"X=4.312121212\"$
\n" ); document.write( " $\"10X=43.12121212\"$
\n" ); document.write( " $\"1000X=4312.12121212\"$
\n" ); document.write( "Then $\"1000X-10X=4312.121212-43.121212\"$
\n" ); document.write( " $\"990X=4312-43\"$
\n" ); document.write( " $\"990X=4269\"$
\n" ); document.write( " $\"X=4269%2F990\"$
\n" ); document.write( " $\"X=1423%2F330\"$ \n" ); document.write( "

\n" );