document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=170722>Question 170722</A>: <I><SPAN STYLE=\"word-break: break-all;\"> My questions are...what are the multiplicative inverse of these numbers:<BR>\n" );
document.write( "3/7<BR>\n" );
document.write( "-4/11<BR>\n" );
document.write( "7/2<BR>\n" );
document.write( "9/5<BR>\n" );
document.write( "-5<BR>\n" );
document.write( "6 1/3<BR>\n" );
document.write( "4 1/9<BR>\n" );
document.write( "17 1/2<BR>\n" );
document.write( "-15 2/3\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #126028 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=126028\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For ANY number of the form <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the multiplicative inverse is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa ALIGN=MIDDLE  ALT=\"b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" >. In other words, to find the find the multiplicative inverse of any fraction, simply flip the fraction.\r<BR>\n" );
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document.write( "Note: if you multiply the number <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" > by the the multiplicative inverse <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=b%2Fa ALIGN=MIDDLE  ALT=\"b%2Fa\"   DISABLED_style= \"max-width:90%; height:auto;\" > you will get 1 since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29%28b%2Fa%29=%28a%2Ab%29%2F%28b%2Aa%29=%28cross%28a%29%2Across%28b%29%29%2F%28cross%28b%29%2Across%28a%29%29=1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the multiplicative inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F7 ALIGN=MIDDLE  ALT=\"3%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7%2F3 ALIGN=MIDDLE  ALT=\"7%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The multiplicative inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-4%2F11 ALIGN=MIDDLE  ALT=\"-4%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-11%2F4 ALIGN=MIDDLE  ALT=\"-11%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll let you do the rest of the problems involving a simple fraction\r<BR>\n" );
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document.write( "To find the multiplicative inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%261%2F3 ALIGN=MIDDLE  ALT=\"6%261%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we need to convert this mixed fraction into an improper fraction.\r<BR>\n" );
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document.write( "To do that, multiply the denominator 3 by the whole number 6 to get 18. Now add 18 to the numerator 1 to get 19. So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%261%2F3=%286%2A3%2B1%29%2F3=%2818%2B1%29%2F3=19%2F3 ALIGN=MIDDLE  ALT=\"6%261%2F3=%286%2A3%2B1%29%2F3=%2818%2B1%29%2F3=19%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the multiplicative inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=19%2F3 ALIGN=MIDDLE  ALT=\"19%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F19 ALIGN=MIDDLE  ALT=\"3%2F19\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-----------------------------------\r<BR>\n" );
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document.write( "Here's another example:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%261%2F9=%284%2A9%2B1%29%2F9=%2836%2B1%29%2F9=37%2F9 ALIGN=MIDDLE  ALT=\"4%261%2F9=%284%2A9%2B1%29%2F9=%2836%2B1%29%2F9=37%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the multiplicative inverse of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=37%2F9 ALIGN=MIDDLE  ALT=\"37%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2F37 ALIGN=MIDDLE  ALT=\"9%2F37\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "I'll let you do the rest of the problems involving a mixed fraction </SPAN>\n" );
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