document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236179>Question 236179</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I don't understand the inverse operations when fractions are involved\r<BR>\n" );
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document.write( "the problem I am working on is:\r<BR>\n" );
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document.write( "x/12 +8=105\r<BR>\n" );
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document.write( "I started:  105-8 = 97,<BR>\n" );
document.write( "but I don't know the next step should I multiply or divide by 12?\r<BR>\n" );
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document.write( "thanks for your help,<BR>\n" );
document.write( "Katie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173881 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173881\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F12=97 ALIGN=MIDDLE  ALT=\"x%2F12=97\"   DISABLED_style= \"max-width:90%; height:auto;\" >, you're saying: \"some number <u>divided</u> by 12 equals 97\"\r<BR>\n" );
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document.write( "In order to isolate 'x', you need to \"undo\" every operation that is being done on 'x'. So in this case, you need to undo that division (note: in the first step, you undid the addition of 8 by subtracting 8 from both sides). Since the opposite of division is multiplication, this means you need to multiply both sides by 12 like so:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cross%2812%29%28x%2Fcross%2812%29%29=97%2A12 ALIGN=MIDDLE  ALT=\"cross%2812%29%28x%2Fcross%2812%29%29=97%2A12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1164 ALIGN=MIDDLE  ALT=\"x=1164\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=1164 ALIGN=MIDDLE  ALT=\"x=1164\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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