document.write( "Question 854202: Ana is 5 times as old as Beth and 2 2/3 times as old as Cathy. What fraction of Cathy's age is Beth's? \n" ); document.write( "
Algebra.Com's Answer #514518 by josmiceli(19441)\"\" \"About 
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\"+a+=+5b+\"
\n" ); document.write( "\"+a+=+%288%2F3%29%2Ac+\"
\n" ); document.write( "Find \"+b%2Fc+\"
\n" ); document.write( "\"+b+=+a%2F5+\"
\n" ); document.write( "\"+c+=+%283%2F8%29%2Aa+\"
\n" ); document.write( "---------------------
\n" ); document.write( "\"+b%2Fc+=+%28+a%2F5+%29+%2F+%28+%283%2F8%29%2Aa+%29+\"
\n" ); document.write( "Multiply top and bottom by \"+40%2Fa+\"
\n" ); document.write( "\"+b%2Fc+=+8+%2F+15+\"
\n" ); document.write( "Beth is 8/15 Cathy's age
\n" ); document.write( "check:
\n" ); document.write( "\"+a+=+5b+\"
\n" ); document.write( "\"+a+=+5%2A%288%2F15%29%2Ac+\"
\n" ); document.write( "\"+a+=+%288%2F3%29%2Ac+\"
\n" ); document.write( "OK\r
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