document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=782884>Question 782884</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A woman is 61(1/12) inches tall and her son is 59(1/9) inches tall. How much taller is the woman? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476599 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=476599\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The difference in their heights is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61%261%2F12-59%261%2F9 ALIGN=MIDDLE  ALT=\"61%261%2F12-59%261%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The result is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2635%2F36 ALIGN=MIDDLE  ALT=\"1%2635%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches of difference in their heights (almost 2 inches).<BR>\n" );
document.write( "The mother is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2635%2F36 ALIGN=MIDDLE  ALT=\"1%2635%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" > inches taller (almost 2 inches taller).<BR>\n" );
document.write( "That makes sense because the approximation, calculated dropping the timy <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F12 ALIGN=MIDDLE  ALT=\"1%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F9 ALIGN=MIDDLE  ALT=\"1%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > fractions is<BR>\n" );
document.write( "61 inches - 59 inches = 2 inches.<BR>\n" );
document.write( " <BR>\n" );
document.write( "When we have to add or subtract fractions, we need a common denominator.<BR>\n" );
document.write( "In this case, I would choose, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=36 ALIGN=MIDDLE  ALT=\"36\"   DISABLED_style= \"max-width:90%; height:auto;\" >, because it the smallest common multiple of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12 ALIGN=MIDDLE  ALT=\"12\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9 ALIGN=MIDDLE  ALT=\"9\"   DISABLED_style= \"max-width:90%; height:auto;\" >:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2A3=36 ALIGN=MIDDLE  ALT=\"12%2A3=36\"   DISABLED_style= \"max-width:90%; height:auto;\" >} and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2A4=36 ALIGN=MIDDLE  ALT=\"9%2A4=36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "THE HARD WAY:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61%261%2F12-59%261%2F9=61%2B1%2F12-%2859%2B1%2F9%29=61%2A12%2F12%2B1%2F12-%2859%2A9%2B1%2F12%29=732%2F12%2B1%2F12-%28531%2F9%2B1%2F9%29=733%2F12-532%2F9=733%2A3%2F%2812%2A3%29-532%2A4%2F%289%2A4%29=2199%2F36-2128%2F36=71%2F36 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "That result can be simplified;<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=71%2F36=%2836%2B35%29%2F36=36%2F36%2B35%2F36=1%2B35%2F36=1%2635%2F36 ALIGN=MIDDLE  ALT=\"71%2F36=%2836%2B35%29%2F36=36%2F36%2B35%2F36=1%2B35%2F36=1%2635%2F36\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "MY WAY:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=61%261%2F12-59%261%2F9=61%2B1%2F12-%2859%2B1%2F9%29=60%2B%281%2B1%2F12%29-59-1%2F9=60%2B13%2F12-59-1%2F9=60-59%2B13%2F12-1%2F9=1%2B13%2F12-1%2F9=1%2B13%2A3%2F%2812%2A3%29-1%2A4%2F%289%2A4%29=1%2B39%2F36-4%2F36=1%2B35%2F36=1%2635%2F36 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "Sadly, teachers will probably favor the \"HARD WAY\". <BR>\n" );
document.write( "It requires more complicated calculations, and mistakes are more likely, but students can memorize and (at least temporarily) remember a recipe to calculate the result. Understanding why such calculation are done that way; how and why calculations could be done differently, and/or how to estimate the result could be valuable bonuses. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );