document.write( "Question 855645: 2.27 express the repeating number as a quotient of two integers \n" ); document.write( "
Algebra.Com's Answer #515488 by Edwin McCravy(20060)\"\" \"About 
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2.27 express the repeating number as a quotient of two integers
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document.write( "I assume you mean 2.272727272727···\r\n" );
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document.write( "let \r\n" );
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document.write( "  x = 2.272727272727···  write the repeating digits several times:\r\n" );
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document.write( "Multiply that equation by 100 put the one above under it, and\r\n" );
document.write( "subtract:\r\n" );
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document.write( "100x = 227.2727272727··· \r\n" );
document.write( "   x =   2.272727272727···\r\n" );
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document.write( " 99x = 225 the repeating decimals cancel out when you subtract them.\r\n" );
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document.write( "  x = 225/99 which reduces to 25/11\r\n" );
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document.write( "Answer 25/11:\r\n" );
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document.write( "Checking:\r\n" );
document.write( "         2.2727···\r\n" );
document.write( "     11)25.0000···\r\n" );
document.write( "        22\r\n" );
document.write( "         3 0\r\n" );
document.write( "         2 2\r\n" );
document.write( "           80\r\n" );
document.write( "           77\r\n" );
document.write( "            30\r\n" );
document.write( "            22\r\n" );
document.write( "             80     \r\n" );
document.write( "             77\r\n" );
document.write( "              3···\r\n" );
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document.write( "Edwin
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