document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1208620>Question 1208620</A>: <I><SPAN STYLE=\"word-break: break-all;\"> On the number line x= 2/9 and y= 17/18. The point z divides the segment from x to y into two parts such that the distance from x to z is 5/9 of the distance from z to y. Find the distance from z to y. </SPAN>\n" );
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document.write( "The distance from x to z is 5/9 of the distance from z to y.<br><BR>\n" );
document.write( "That means the total distance from x to y is divided in two parts in the ratio 5:9.  So the distance from x to z is 5/14 of the total distance from x to y and the distance from z to y is 9/14 of the total distance from x to y.<br><BR>\n" );
document.write( "The distance from x to y is 17/18 - 2/9 = 17/18 - 4/18 = 13/18.<br><BR>\n" );
document.write( "So the distance from y to z is (9/14) of (13/18):<br><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F14%2A13%2F18=%289%2A13%29%2F%2814%2A18%29=13%2F%2814%2A2%29=13%2F28 ALIGN=MIDDLE  ALT=\"9%2F14%2A13%2F18=%289%2A13%29%2F%2814%2A18%29=13%2F%2814%2A2%29=13%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" ><br><BR>\n" );
document.write( "ANSWER: 13/28<br><BR>\n" );
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