document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=252641>Question 252641</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sarah needs to make a cake and some cookies. The cake requires 3/8 cup of sugar and the cookies require 3/5 cup of sugar. Sarah has 15/16 cups of sugar. Does she have enough sugar, or how much more does she need? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #184673 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=184673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Simply add the two fractions <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8 ALIGN=MIDDLE  ALT=\"3%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F5 ALIGN=MIDDLE  ALT=\"3%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F8%2B3%2F5=%283%2F8%29%285%2F5%29%2B%283%2F5%29%288%2F8%29=%283%2A5%29%2F%288%2A5%29%2B%283%2A8%29%2F%285%2A8%29=15%2F40%2B24%2F40=%2815%2B24%29%2F40=39%2F40 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So she'll need <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F40 ALIGN=MIDDLE  ALT=\"39%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > cups of sugar. Now the question is: which fraction is larger, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F16 ALIGN=MIDDLE  ALT=\"15%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F40 ALIGN=MIDDLE  ALT=\"39%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "To answer this question, first assume that they are equal:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F16=39%2F40 ALIGN=MIDDLE  ALT=\"15%2F16=39%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2A40=39%2A16 ALIGN=MIDDLE  ALT=\"15%2A40=39%2A16\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=600=624 ALIGN=MIDDLE  ALT=\"600=624\"   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=600%3C624 ALIGN=MIDDLE  ALT=\"600%3C624\"   DISABLED_style= \"max-width:90%; height:auto;\" > Now change the equal sign '=' to a less than sign '<' (since 600 is less than 624).\r<BR>\n" );
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document.write( "Because the left side is less than the right, this means that the left side of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F16=39%2F40 ALIGN=MIDDLE  ALT=\"15%2F16=39%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" > is smaller than the right. So change the '=' to a '<' to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F16%3C39%2F40 ALIGN=MIDDLE  ALT=\"15%2F16%3C39%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F16 ALIGN=MIDDLE  ALT=\"15%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" > is smaller than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F40 ALIGN=MIDDLE  ALT=\"39%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that she has less sugar than what she needs. So she does NOT have enough sugar.\r<BR>\n" );
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document.write( "How much does she need then? Well let's figure that out.\r<BR>\n" );
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document.write( "To find that out, just subtract the amount she has (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F16 ALIGN=MIDDLE  ALT=\"15%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" >) from the amount she needs (<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F40 ALIGN=MIDDLE  ALT=\"39%2F40\"   DISABLED_style= \"max-width:90%; height:auto;\" >) to get: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=39%2F40-15%2F16=%2839%2F40%29%282%2F2%29-%2815%2F16%29%285%2F5%29=%2839%2A2%29%2F%2840%2A2%29-%2815%2A5%29%2F%2816%2A5%29=78%2F80-75%2F80=%2878-75%29%2F80=3%2F80 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So she needs <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F80 ALIGN=MIDDLE  ALT=\"3%2F80\"   DISABLED_style= \"max-width:90%; height:auto;\" > of a cup of sugar. </SPAN>\n" );
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