document.write( "Question 29060: write decimal as a fraction: 3.4 the 4 has a line on top for repeating \n" ); document.write( "
Algebra.Com's Answer #16010 by Earlsdon(6294)\"\" \"About 
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Write as a fraction: 3.444...\r
\n" ); document.write( "\n" ); document.write( "First, write it as a mixed number by changing the decimal part to a fraction.
\n" ); document.write( "Here's how you do that:\r
\n" ); document.write( "\n" ); document.write( "Change 0.444... to a fraction.
\n" ); document.write( "Let n = 0.444... Multiply both sides by 10
\n" ); document.write( "10n = 4.444... Now subtract n from 10n
\n" ); document.write( "10-n = 4.444... - 0.444... = 4, so:
\n" ); document.write( "10n-n = 9n = 4 Divide both sides by 9
\n" ); document.write( "9n/9 = 4/9
\n" ); document.write( "n = 4/9 But n = 0.444..., so
\n" ); document.write( "0.444... = 4/9\r
\n" ); document.write( "\n" ); document.write( "The mixed number is: 3 4/9 Now if you want this as an improper fraction, then:\r
\n" ); document.write( "\n" ); document.write( "3 4/9 = 31/9 Check this answer on your calculator.
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