document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=956296>Question 956296</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What number must be subtracted from each of the terms of the fraction 13/22 and 17/32 so that the resulting fraction will be equal? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584242 by </B><A HREF=/tutors/aboutme.mpl?userid=ptaylor><B>ptaylor(2198)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ptaylor><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=ptaylor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=584242\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What number must be subtracted from each of the terms of the fraction 13/22 and 17/32 so that the resulting fraction will be equal?<BR>\n" );
document.write( "Let x=the number that needs to be subtracted from each term of the fractions so the resulting fractions will be equal.<BR>\n" );
document.write( "Soooo:<BR>\n" );
document.write( "(13-x)/(22-x)=(17-x)/(32-x) We can cross-multiply<BR>\n" );
document.write( "(13-x)(32-x)=(17-x)(22-x) expand using the FOIL (First,Outer, Inner, Last)method<BR>\n" );
document.write( "416-13x-32x+x^2=374-17x-22x+x^2<BR>\n" );
document.write( "416-45x+x^2=374-39x+x^2   collect like terms<BR>\n" );
document.write( "6x=42<BR>\n" );
document.write( "x=7<BR>\n" );
document.write( "CK<BR>\n" );
document.write( "(13-7)/(22-7)=(17-7)/32-7)<BR>\n" );
document.write( "6/15=10/25 or<BR>\n" );
document.write( "2/5=2/5\r<BR>\n" );
document.write( "\n" );
document.write( "Hope this helps----ptaylor </SPAN>\n" );
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