document.write( "Question 49213: Represent each repeating decimal as the quotient of two intergers.
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document.write( "0.5 =0.5555\r
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document.write( "Thank you, Michelle \n" );
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Algebra.Com's Answer #32632 by AnlytcPhil(1806)![]() ![]() 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( " |