document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1164487>Question 1164487</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a fraction is divided by 1 ¼ and them<BR>\n" );
document.write( "subtracted from 2 ½ gives the result<BR>\n" );
document.write( "of 1 7/10, what is the value of the<BR>\n" );
document.write( "fractions? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #788903 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13200)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=788903\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "The language used in the statement of the problem is very poor, leading to different possible interpretations of the problem.<br><BR>\n" );
document.write( "\"If a fraction is divided by 1 ¼ and them (sic) subtracted from 2 ½ gives the result of 1 7/10, what is the value of the fractions?\"<br><BR>\n" );
document.write( "Rewrite like this:<br><BR>\n" );
document.write( "A fraction is divided by 1 ¼ and the result is subtracted from 2 ½, giving the result of 1 7/10.  What is the fraction?<br><BR>\n" );
document.write( "Dividing a number by 1 1/4 = 5/4 is equivalent to multiplying it by 4/5.  So after dividing by 1 1/4, the fraction is 4/5 of its original value.<br><BR>\n" );
document.write( "So 2 1/2, minus 4/5 of the original fraction, is equal to 1 7/10.<br><BR>\n" );
document.write( "Then 4/5 of the original fraction is 2 1/2 minus 1 7/10, or 8/10, or 4/5.<br><BR>\n" );
document.write( "It is then obvious that the original fraction was 1.<br><BR>\n" );
document.write( "ANSWER: The original fraction was 1.<br><BR>\n" );
document.write( "CHECK:<BR>\n" );
document.write( "1 divided by 1 1/4 = 1 times 4/5 = 4/5.<br><BR>\n" );
document.write( "2 1/2 - 4/5 = 2 5/10 = 8/10 = 1 7/10.<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );