document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=201635>Question 201635</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good day.Could you please hape me to solve this question.I lernt the wey of your answers but I can not receive to the same answer as the lecture note.\r<BR>\n" );
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document.write( "Dan said Jeff:\"I'm thinking of a certain fraction whose denominator is 1 less than twice its numerator.If I add 7 to both its numerator and its denominator,I obtain the number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F4 ALIGN=MIDDLE  ALT=\"3%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >. What is the fraction of which I'm thinking?\r<BR>\n" );
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document.write( "This is my way :<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%2F%282x-1%2B7%29=3%2F4+ ALIGN=MIDDLE  ALT=\"%28x%2B7%29%2F%282x-1%2B7%29=3%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" >      So: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%294=%282x%2B6%293 ALIGN=MIDDLE  ALT=\"%28x%2B7%294=%282x%2B6%293\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This was the solver way:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x%2B7%29%2F%282x-1%2B7%29-3%2F4=0 ALIGN=MIDDLE  ALT=\"%28x%2B7%29%2F%282x-1%2B7%29-3%2F4=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "I always use of the first way but now I'm not sure about that! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #151870 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=151870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'm thinking of a certain fraction whose denominator is 1 less than twice its numerator.If I add 7 to both its numerator and its denominator,I obtain the number 3/4. What is the fraction of which I'm thinking?<BR>\n" );
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document.write( "Original = x/(2x-1)<BR>\n" );
document.write( "Add 7 --> (x+7)/(2x+6)<BR>\n" );
document.write( "(x+7)/(2x+6) = 3/4<BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "4(x+7) = 3(2x+6)<BR>\n" );
document.write( "4x+28 = 6x+18<BR>\n" );
document.write( "2x = 10<BR>\n" );
document.write( "x = 5<BR>\n" );
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document.write( "Original = 5/9<BR>\n" );
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document.write( "Adding 7's --> 12/16 = 3/4<BR>\n" );
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document.write( "Note that 5/9 is the smallest positive number that satisfies the conditions.  There are an infinite number of solutions, eg<BR>\n" );
document.write( "17/25, 293/393, 1193/1593, etc.<BR>\n" );
document.write( "Multiply 3/4 by any factor and subtract 7's from the result.<BR>\n" );
document.write( "Even -1/1 fits.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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