document.write( "Question 1132164: Express 0.0038(8 repeating) as a fraction in lowest terms and give the sum of the numerator and denominator. \n" ); document.write( "
Algebra.Com's Answer #749100 by Theo(13342)\"\" \"About 
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the fraction in decimal form is .003888888888...... (the 8 repeats endlessly).\r
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\n" ); document.write( "\n" ); document.write( "let n = the number.\r
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\n" ); document.write( "\n" ); document.write( "therefore, n= .03888888888........\r
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\n" ); document.write( "\n" ); document.write( "multiply n by 10,000 to get 10,000 * n = 38.888888888.....\r
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\n" ); document.write( "\n" ); document.write( "multiply n by 1,000 to get 1,000 * n = 3.88888888......\r
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\n" ); document.write( "\n" ); document.write( "subtract 1,000 * n from 10,000 * n to get 9,000 * n = 35\r
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\n" ); document.write( "\n" ); document.write( "divide both sides of this equation by 9,000 to get n = 35 / 9,000\r
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\n" ); document.write( "\n" ); document.write( "divide numerator and denominator by 5 to get n = 7 / 1800.\r
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\n" ); document.write( "\n" ); document.write( "that's your fraction in simplified form.\r
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\n" ); document.write( "\n" ); document.write( "the sum of the simplified numerator and the denominator is 1807.\r
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\n" ); document.write( "\n" ); document.write( "you can confirm by dividing 7 by 1800 in your calculator.\r
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\n" ); document.write( "\n" ); document.write( "the answer will be .00388888888.....\r
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