document.write( "Question 304802: what has the least value. 0.27, 1/4, 3/8, 2/11, 11% \n" ); document.write( "
Algebra.Com's Answer #218283 by Edwin McCravy(20055)\"\" \"About 
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0.27, 1/4, 3/8, 2/11, 11%
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document.write( "Change them all to fractions:\r\n" );
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document.write( "\"0.27\" means the fraction \"27%2F100\"\r\n" );
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document.write( "\"1%2F4\" is already a fraction\r\n" );
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document.write( "\"3%2F8\" is already a fraction \r\n" );
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document.write( "\"2%2F11\" is already a fraction \r\n" );
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document.write( "\"%2211%25%22\" means the fraction \"11%2F100\"\r\n" );
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document.write( "Now we line up the five fractions:\r\n" );
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document.write( "\"27%2F100\", \"1%2F4\", \"3%2F8\", \"2%2F11\", \"11%2F100\"\r\n" );
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document.write( "We get the LCD of all these, \r\n" );
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document.write( "100=2*2*5*5\r\n" );
document.write( "4 = 2*2\r\n" );
document.write( "8 = 2*2*2\r\n" );
document.write( "11= 11\r\n" );
document.write( "100=2*2*5*5\r\n" );
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document.write( "So the LCD must contain each factor the most number of times it\r\n" );
document.write( "occurs as a factor in any one of those, so the LCD must contain \r\n" );
document.write( "2 three times, because 2 occurs at most three times as a factor \r\n" );
document.write( "in 8. It must contain 5 two times because 5 occurs twice as a \r\n" );
document.write( "factor in 4 and 100, and it must contain 11 one time since 11 \r\n" );
document.write( "occurs at most one time in 11 itself.\r\n" );
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document.write( "So LCD=2*2*2*5*5*11=2200.\r\n" );
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document.write( "Now write them all with the common denominator of 2200:\r\n" );
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document.write( "\"0.27=27%2F100=%2827%2A22%29%2F%28100%2A22%29=594%2F2200\", \r\n" );
document.write( "\"1%2F4=+%281%2A550%29%2F%284%2A550%29=550%2F2200\",\r\n" );
document.write( "\"3%2F8=+%283%2A275%29%2F%288%2A275%29=825%2F2200\",\r\n" );
document.write( "\"2%2F11=%282%2A200%29%2F%2811%2A200%29=400%2F2200\",\r\n" );
document.write( "\"%2211%25%22=11%2F100=%2811%2A22%29%2F%28100%2A22%29=242%2F2200\".\r\n" );
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document.write( "The smallest of these is the one with the smallest\r\n" );
document.write( "numerator (when expressend with the same common\r\n" );
document.write( "denominator):\r\n" );
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document.write( "So \"%2211%25%22\" is the smallest of the five.\r\n" );
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document.write( "You might find it easier to convert them all to decimals\r\n" );
document.write( "instead of fractions:\r\n" );
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document.write( "\"0.27\" is already a decimal  \r\n" );
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document.write( "\"1%2F4=0.25\"\r\n" );
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document.write( "\"3%2F8=0.375\" \r\n" );
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document.write( "\"2%2F11=%220.1818181818%B7%B7%B7%22\"  \r\n" );
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document.write( "\"%2211%25%22=0.11\" \r\n" );
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document.write( "The smallest has the smallest tenths digit.\r\n" );
document.write( "The \"2%2F11\" and \"%2211%25%22\" both have smallest tenths \r\n" );
document.write( "digits of 1.  So it's between those two.  So we go for the \r\n" );
document.write( "one of those two with the smaller hundredths digit, and the \r\n" );
document.write( "hundredths digit of \"%2211%25%22\" is 1 while the hunmdredths \r\n" );
document.write( "digit of \"2%2F11\" is 8. So the smallest of the five is\r\n" );
document.write( "\"%2211%25%22\".\r\n" );
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document.write( "Edwin
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