document.write( "Question 474405: http://imageshack.us/photo/my-images/809/page656.jpg/
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document.write( "Thank you for spend time do my home work \n" );
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Algebra.Com's Answer #325409 by Theo(13342)![]() ![]() You can put this solution on YOUR website! here's a reference that looks like it can be used to find the solution to your problem. \n" ); document.write( "http://www.basic-mathematics.com/converting-repeating-decimals-to-fractions.html \n" ); document.write( "your first number is .27 repeating endlessly. \n" ); document.write( "put that number to the left of the decimal place to get 27.27 \n" ); document.write( "in order to do that you had to multiply the original number by 100. \n" ); document.write( "your modified equation is 100x = 27.27 \n" ); document.write( "your equation is x = .27... \n" ); document.write( "subtract x from 10x to get: \n" ); document.write( "100x - x = 27.27... - .27... \n" ); document.write( "combine like terms on both sides of this equation to get: \n" ); document.write( "99x = 27 \n" ); document.write( "divide both sides of this equation by 99 to get x = 27/99. \n" ); document.write( "reduce this equation to its simplest terms to get x = 3/11. \n" ); document.write( "that should be your fraction. \n" ); document.write( "use your calculator to see that 3/11 = .27272727... \n" ); document.write( "the ... means that the 27 repeats endlessly. \n" ); document.write( "it works !!!. \n" ); document.write( "solving your second problem should be just as easy. \n" ); document.write( "your second problem is .256... \n" ); document.write( "the repeating digits are 256. \n" ); document.write( "put them to the left of the decimal point to get 256.256... \n" ); document.write( "in order to do that, you had to multiply .256 by 1000, so your equations are: \n" ); document.write( "x = .256... \n" ); document.write( "1000x = 256.256... \n" ); document.write( "subtract x from 1000x to get: \n" ); document.write( "1000x - x = 256.256... - .256... \n" ); document.write( "combine like terms to get: \n" ); document.write( "999x = 256 \n" ); document.write( "divide both sides of this equation by 999 to get: \n" ); document.write( "x = 256/999 \n" ); document.write( "user your calculator to show that 256/999 = .256256256...\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |