document.write( "Question 23495: I don't know how or if I should convert these fractions to solve this word problem. Could you explan it to me?\r
\n" ); document.write( "\n" ); document.write( " 2/3 of the people working at Happy Homes Realty are sales agents and the rest are clerical workers. If 5/8 of the agents are women and 4/7 of the clerical workers are men, find the fraction of the people in the office who are male agents, female agents, male clerical workers, and female clerical workers.\r
\n" ); document.write( "\n" ); document.write( " My mom thinks that I have to change the fractions into percents, then when I find the answer that I have to convert them back to fractions. Do I?\r
\n" ); document.write( "\n" ); document.write( " Yours Truly,
\n" ); document.write( " Confused\r
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Algebra.Com's Answer #12280 by longjonsilver(2297)\"\" \"About 
You can put this solution on YOUR website!
Fractions, decimals and % are all the same.... does not matter which you use. Seeing as how the Q is in fractions, stick to this (plus it is less work to do..why bother converting to % just to convert back again? Madness :-) )\r
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\n" ); document.write( "\n" ); document.write( "So, think of a tree:\r
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\n" ); document.write( "\n" ); document.write( "Agents (2/3) --> 5/8 Women
\n" ); document.write( "Agents (2/3) --> 3/8 Men\r
\n" ); document.write( "\n" ); document.write( "Clerical (1/3) --> 3/7 Women
\n" ); document.write( "Clerical (1/3) --> 4/7 Men\r
\n" ); document.write( "\n" ); document.write( "So,
\n" ); document.write( "agents AND women --> (2/3)*(5/8) = 5/12
\n" ); document.write( "agents AND men --> (2/3)*(3/8) = 1/4\r
\n" ); document.write( "\n" ); document.write( "clerical AND women --> (1/3)*(3/7) = 1/7
\n" ); document.write( "clerical AND men --> (1/3)*(4/7) = 4/21\r
\n" ); document.write( "\n" ); document.write( "Add up all the 4 final fractions on a calculator..should equal to 1..ie EVERYBODY :-)\r
\n" ); document.write( "\n" ); document.write( "jon.\r
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