document.write( "Question 989509: Convert0.4444..... into rational number\r
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Algebra.Com's Answer #609798 by solver91311(24713) $\"\"$ $\"About$

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\n" ); document.write( "\n" ); document.write( "It already is a rational number. Any decimal number with a repeating pattern is rational. What I think you meant to ask, or what your instructor meant to ask is to express

as a quotient of integers.\r
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\n" ); document.write( "\n" ); document.write( "Let

. Then

.
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document.write( "     10a  =  4.4...\r\n" );
document.write( "    -  a  =  0.4...\r\n" );
document.write( "    ---------------\r\n" );
document.write( "      9a  =  4.0...\r\n" );
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\n" ); document.write( "Hence

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\n" ); document.write( "\n" ); document.write( "Commit these to memory: 1 ninth is 0.111..., 2 ninths is 0.222..., and so on. \r
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\n" ); document.write( "\n" ); document.write( "John
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\n" ); document.write( "My calculator said it, I believe it, that settles it\r
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