document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=140909>Question 140909</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What fraction of 4 2/3 is 4/9? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #102589 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=102589\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> First convert 4 2/3 to 1/3 's<BR>\n" );
document.write( "There are [3] 1/3's in 1<BR>\n" );
document.write( "There are [3*4] 1/3's in 4<BR>\n" );
document.write( "So, 4 2/3 = 12/3 + 2/3<BR>\n" );
document.write( "12/3 + 2/3 = 14/3<BR>\n" );
document.write( "Now the question becomes, What fraction of 14/3 is 4/9?<BR>\n" );
document.write( "Now convert 14/3 to 1/9's. Multiply top and bottom by 3<BR>\n" );
document.write( "14/3 * 3/3 = 42/9<BR>\n" );
document.write( "Now the question becomes, What fraction of 42/9 is 4/9?<BR>\n" );
document.write( "(4/9) / (42/9) = 4/42<BR>\n" );
document.write( "4/42 = 2/21 answer<BR>\n" );
document.write( "You can check by converting to decimals<BR>\n" );
document.write( "4 2/3 = 4.6666...<BR>\n" );
document.write( "4/9 = .4444...<BR>\n" );
document.write( ".4444/4.6666 = .09523<BR>\n" );
document.write( "2/21 = .09523<BR>\n" );
document.write( "OK </SPAN>\n" );
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