document.write( "Question 252899: A business is owned by 3 men and 1 women, each of whom has an equal share . If one of the men sells 1/2 of his share to the woman, and another of the men keeps 2/3 of his share and sells the rest to the woman, what fraction of the business will the woman own ?\r
\n" ); document.write( "\n" ); document.write( "(A) 5/24 (B) 11/24 (C) 1/2 (D) 13/24 (E) 11/6
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Algebra.Com's Answer #185007 by Theo(13342)\"\" \"About 
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woman has 1/4 of the business.\r
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\n" ); document.write( "\n" ); document.write( "each man has 1/4 of the business.\r
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\n" ); document.write( "\n" ); document.write( "one man gives woman 1/2 * 1/4 = 1/8.\r
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\n" ); document.write( "\n" ); document.write( "another man gives woman 1/3 * 1/4 = 1/12.\r
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\n" ); document.write( "\n" ); document.write( "woman has 1/4 + 1/8 + 1/12 of the business.\r
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\n" ); document.write( "\n" ); document.write( "LCD (least common denominator) appears to be 24.\r
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\n" ); document.write( "\n" ); document.write( "1/4 * 6/6 = 6/24
\n" ); document.write( "1/8 * 3/3 = 3/24
\n" ); document.write( "1/12 * 2/2 = 2/24\r
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\n" ); document.write( "\n" ); document.write( "woman has 6/24 + 3/24 + 2/24 = 11/24 of the business.\r
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\n" ); document.write( "\n" ); document.write( "you can confirm this easily by assuming the business is worth 24 units.\r
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\n" ); document.write( "\n" ); document.write( "each has 1/4 which means each owns 6 units.\r
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\n" ); document.write( "\n" ); document.write( "woman has 6 units.\r
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\n" ); document.write( "\n" ); document.write( "one man gives her 1/2 of 6 = 3 units.\r
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\n" ); document.write( "\n" ); document.write( "another man gives her 1/3 of 6 = 2 units.\r
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\n" ); document.write( "\n" ); document.write( "the woman now owns 6 + 3 + 2 = 11 units out of the 24.\r
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\n" ); document.write( "\n" ); document.write( "your answer would be selection B (11/24).\r
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