document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=124423>Question 124423</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you solve for 3/4 - 3m/4m+6 = 8? \r<BR>\n" );
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document.write( "I'm really struggling with this problem, can you help me? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #91276 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=91276\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you solve for 3/4 - 3m/4m+6 = 8? <BR>\n" );
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document.write( "Assume the problem is:<BR>\n" );
document.write( "<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;\" > - <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283m%29%2F%28%284m%2B6%29%29 ALIGN=MIDDLE  ALT=\"%283m%29%2F%28%284m%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 8<BR>\n" );
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document.write( "We can see the common denominator is 4(4m+6); multiply thru by that:<BR>\n" );
document.write( "4(4m+6)*<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;\" > - 4(4m+6)*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283m%29%2F%28%284m%2B6%29%29 ALIGN=MIDDLE  ALT=\"%283m%29%2F%28%284m%2B6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = 4(4m+6)*8<BR>\n" );
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document.write( "Cancel out the denominators and you have:<BR>\n" );
document.write( "3(4m+6) - 4(3m) = 32(4m+6)<BR>\n" );
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document.write( "Multiply what is inside the brackets:<BR>\n" );
document.write( "12m + 18 - 12m = 128m + 192<BR>\n" );
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document.write( "Combine the \"m&m's\" on the left and the numbers on the right<BR>\n" );
document.write( "12m - 12m - 128m = 192 - 18<BR>\n" );
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document.write( "-128m = +174<BR>\n" );
document.write( "m = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=174%2F%28-128%29 ALIGN=MIDDLE  ALT=\"174%2F%28-128%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-87%2F64 ALIGN=MIDDLE  ALT=\"-87%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" >; reduced the fraction<BR>\n" );
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document.write( "This first thing one thinks when you get an answer like -87/64, is where did I go wrong?<BR>\n" );
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document.write( "Well maybe that is the right answer. Take the time to substitute this for m in the original equation<BR>\n" );
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document.write( "First the numerator; 3m: 3*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-87%2F64%29 ALIGN=MIDDLE  ALT=\"-87%2F64%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-261%2F64 ALIGN=MIDDLE  ALT=\"-261%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Then the denominator; 4*<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-87%2F74 ALIGN=MIDDLE  ALT=\"-87%2F74\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-348%2F64 ALIGN=MIDDLE  ALT=\"-348%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" > + 6 = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-348%2F64+%2B+394%2F64 ALIGN=MIDDLE  ALT=\"-348%2F64+%2B+394%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" > = +<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36%2F64 ALIGN=MIDDLE  ALT=\"36%2F64\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "When dividing fractions invert the dividing fraction and multiply so we have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-261%2F64%29+%2A+%2864%2F36%29 ALIGN=MIDDLE  ALT=\"%28-261%2F64%29+%2A+%2864%2F36%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-261%2F36 ALIGN=MIDDLE  ALT=\"-261%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" >; Canceled 64<BR>\n" );
document.write( "the decimal equiv of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-261%2F36 ALIGN=MIDDLE  ALT=\"-261%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > = -7.25 and decimal of <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;\" > = .75<BR>\n" );
document.write( "so we have:<BR>\n" );
document.write( ".75 - (-7.25) = (minus a minus is a plus)<BR>\n" );
document.write( ".75 + 7.25 = +8!!!, we are right, that is the solution<BR>\n" );
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document.write( "Did all this make sense to you, (perhaps lessen the struggle). Any questions? </SPAN>\n" );
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