document.write( "Question 349693: How do you convert a decimals into a fractions??? \n" ); document.write( "

Algebra.Com's Answer #249942 by Fombitz(32388) $\"\"$ $\"About$

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Multiply by powers of 10 as required then simplify.
\n" ); document.write( "Example,
\n" ); document.write( " $\"0.125=0.125%281000%29%2F%281000%29=125%2F1000=25%2F200=5%2F40=1%2F8\"$
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\n" ); document.write( "For repeating decimal, use a little more complicated procedure.
\n" ); document.write( " $\"0.11111\"$ repeating
\n" ); document.write( "Let $\"x=0.11111\"$ repeating, then $\"10x=1.11111\"$ repeating
\n" ); document.write( "Subtract,
\n" ); document.write( " $\"10x-x=1.11111-0.11111=1\"$
\n" ); document.write( " $\"9x=1\"$
\n" ); document.write( " $\"x=1%2F9=0.11111\"$ repeating
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