document.write( "Question 49213: Represent each repeating decimal as the quotient of two intergers.
\n" ); document.write( " _
\n" ); document.write( "0.5 =0.5555\r
\n" ); document.write( "\n" ); document.write( "Thank you, Michelle
\n" ); document.write( "

Algebra.Com's Answer #32632 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
Represent each repeating decimal as the quotient of two intergers. \r\n" );
document.write( "  _\r\n" );
document.write( "0.5 =0.5555 \r\n" );
document.write( "Thank you, Michelle\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let \r\n" );
document.write( "\r\n" );
document.write( "(1)       N = 0.5555···\r\n" );
document.write( "\r\n" );
document.write( "and label that \"equation (1)\"\r\n" );
document.write( "Multiply both sides of equation (1) by 10\r\n" );
document.write( "\r\n" );
document.write( "(2)     10N = 5.5555···\r\n" );
document.write( "\r\n" );
document.write( "Now multiply both sides of equation (1) by -1\r\n" );
document.write( "\r\n" );
document.write( "(3)      -N = -0.5555···\r\n" );
document.write( "\r\n" );
document.write( "Now write equation (3) underneath equation (2),\r\n" );
document.write( "draw a line and subtract:\r\n" );
document.write( "\r\n" );
document.write( "(2)     10N =  5.5555···\r\n" );
document.write( "(3)      -N = -0.5555···\r\n" );
document.write( "      -------------------\r\n" );
document.write( "         9N =  5   (Note how the repeating decimals cancel out)\r\n" );
document.write( "\r\n" );
document.write( "          N = 5/9\r\n" );
document.write( "\r\n" );
document.write( "That's the answer, 5/9\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );