document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665756>Question 665756</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If both the numerator and the denominator of a certain fraction are increased by 1, it becomes 5/6.if both the numerator and denominator are each decreased by 1 it becomes 4/5.find the original fraction </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414116 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414116\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If both the numerator and the denominator of a certain fraction are increased by<BR>\n" );
document.write( " 1, it becomes 5/6.if both the numerator and denominator are each decreased by 1<BR>\n" );
document.write( " it becomes 4/5.find the original fraction<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\"If both the numerator and the denominator of a certain fraction are increased by 1, it becomes 5/6.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n%2B1%29%29%2F%28%28d%2B1%29%29 ALIGN=MIDDLE  ALT=\"%28%28n%2B1%29%29%2F%28%28d%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5%2F6 ALIGN=MIDDLE  ALT=\"5%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "6(n+1) = 5(d+1)<BR>\n" );
document.write( "6n + 6 = 5d + 5<BR>\n" );
document.write( "6n - 5d = 5 - 6<BR>\n" );
document.write( "6n - 5d = -1<BR>\n" );
document.write( ":<BR>\n" );
document.write( "\" both the numerator and denominator are each decreased by 1 it becomes 4/5.\"<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28n-1%29%29%2F%28%28d-1%29%29 ALIGN=MIDDLE  ALT=\"%28%28n-1%29%29%2F%28%28d-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F5 ALIGN=MIDDLE  ALT=\"4%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Cross multiply<BR>\n" );
document.write( "5(n-1) = 4(d-1)<BR>\n" );
document.write( "5n - 5 = 4d - 4<BR>\n" );
document.write( "5n - 4d = -4 + 5<BR>\n" );
document.write( "5n - 4d = 1<BR>\n" );
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document.write( "We can use elimination here, Mult the 1st eq by 4, mult the 2nd eq by 5<BR>\n" );
document.write( "Subtract the 1st equation from the 2nd equation<BR>\n" );
document.write( "25n - 20d = 5<BR>\n" );
document.write( "24n - 20d = -4<BR>\n" );
document.write( "--------------- Subtraction eliminates d, find n<BR>\n" );
document.write( "n = 9<BR>\n" );
document.write( ":<BR>\n" );
document.write( "find d using 5n - 4d = 1<BR>\n" );
document.write( "5(9) - 4d = 1<BR>\n" );
document.write( "45 - 4d = 1<BR>\n" );
document.write( "-4d = 1 - 45<BR>\n" );
document.write( "-4d = 44<BR>\n" );
document.write( "d = +11<BR>\n" );
document.write( ":<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F11 ALIGN=MIDDLE  ALT=\"9%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the original equation, you check this for yourself </SPAN>\n" );
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