document.write( "Question 961651: Make the following decimal 0.5555... into fraction Thanks :) \n" ); document.write( "

Algebra.Com's Answer #587585 by josgarithmetic(39625) $\"\"$ $\"About$

You can put this solution on YOUR website!
Fit this to geometric series.\r
\n" ); document.write( "\n" ); document.write( " $\"0.5555repeating=5%281%2F10%2B1%2F100%2B1%2F1000%2B1%2F10000%2Bcontinued%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%281%2F10%5E1%2B1%2F10%5E2%2B1%2F10%5E3%2B1%2F10%5E4%2Bcontinued%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%28%281%2F10%29%2F%281-1%2F10%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%28%281%2F10%29%2F%289%2F10%29%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"5%281%2F9%29\"$ \r
\n" ); document.write( "\n" ); document.write( "Perform the long division and you will find $\"1%2F9=0.11111repeating\"$ .
\n" ); document.write( "You could then see that $\"5%280.11111repeating%29=0.5555repeating\"$ .\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"highlight%285%281%2F9%29=highlight%285%2F9%29%29\"$ ;
\n" ); document.write( "You can check this through long multiplication again if you want to be sure.
\n" ); document.write( "5 divided by 9 will give 0.555555..... \n" ); document.write( "

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