document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=104029>Question 104029</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One recipe calls for 1/4 teaspoon vanilla.  A second recipe requires for 1/8  teaspoon vanilla flour, and a third recipe calls for 1/2 teaspoon vanilla.  How much vanilla is required to make all three recipes? Help. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #75703 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=75703\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> To find out how many teaspoons are needed, simply add all of the fractions together\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4%2B1%2F8%2B1%2F2 ALIGN=MIDDLE  ALT=\"1%2F4%2B1%2F8%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given expression\r<BR>\n" );
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document.write( "We need to get every denominator to the same number. So let's get every denominator to the LCM. So the LCM of 4, 8, and 12 is 24 (note: if you need help with finding the LCM, check out this <a  rel=nofollow HREF=http://www.algebra.com/algebra/homework/divisibility/least-common-multiple.solver>solver</a>)                                                                                                  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F4%29%286%2F6%29%2B1%2F8%2B1%2F2 ALIGN=MIDDLE  ALT=\"%281%2F4%29%286%2F6%29%2B1%2F8%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4 ALIGN=MIDDLE  ALT=\"1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F6 ALIGN=MIDDLE  ALT=\"6%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > this will get the denominator equal to 24\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24%2B1%2F8%2B1%2F2 ALIGN=MIDDLE  ALT=\"6%2F24%2B1%2F8%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24%2B%283%2F3%29%281%2F8%29%2B1%2F2 ALIGN=MIDDLE  ALT=\"6%2F24%2B%283%2F3%29%281%2F8%29%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F8 ALIGN=MIDDLE  ALT=\"1%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F3 ALIGN=MIDDLE  ALT=\"3%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > this will get the denominator equal to 24\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24%2B3%2F24%2B1%2F2 ALIGN=MIDDLE  ALT=\"6%2F24%2B3%2F24%2B1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24%2B3%2F24%2B%2812%2F12%29%281%2F2%29 ALIGN=MIDDLE  ALT=\"6%2F24%2B3%2F24%2B%2812%2F12%29%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F2 ALIGN=MIDDLE  ALT=\"1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12%2F12 ALIGN=MIDDLE  ALT=\"12%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" > this will get the denominator equal to 24\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2F24%2B3%2F24%2B12%2F24 ALIGN=MIDDLE  ALT=\"6%2F24%2B3%2F24%2B12%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "Now that every denominator is equal to twelve, we can add the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%286%2B3%2B12%29%2F24 ALIGN=MIDDLE  ALT=\"%286%2B3%2B12%29%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F24 ALIGN=MIDDLE  ALT=\"21%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the numerators\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4%2B1%2F8%2B1%2F2=21%2F24 ALIGN=MIDDLE  ALT=\"1%2F4%2B1%2F8%2B1%2F2=21%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So all three recipes need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F24 ALIGN=MIDDLE  ALT=\"21%2F24\"   DISABLED_style= \"max-width:90%; height:auto;\" > teaspoon of vanilla  </SPAN>\n" );
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