document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=188275>Question 188275</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Multiply and write in simplest form 4 1/5 x 10/21 x 9/20? I have no clue on where to begin. Thank you.\r<BR>\n" );
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document.write( "Michelle </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #141174 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=141174\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> In order to multiply fractions, they must either be normal fractions like <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;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3 ALIGN=MIDDLE  ALT=\"2%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > or they must be improper fractions. \r<BR>\n" );
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document.write( "So we must convert <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%261%2F5 ALIGN=MIDDLE  ALT=\"4%261%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > into an improper fraction\r<BR>\n" );
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document.write( "Remember, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE a \ \frac{b}{c}=\frac{a\cdot c+b}{c}\"> where \"a\" is the whole part of the fraction, \"b\" is the numerator, and \"c\" is the denominator.\r<BR>\n" );
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document.write( "So this means that \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4 \frac{1}{5}=\frac{4\cdot5+1}{5}=\frac{20+1}{5}=\frac{21}{5}\">\r<BR>\n" );
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document.write( "In short <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4 \frac{1}{5}=\frac{21}{5}\"> which means that the mixed fraction 4 and one fifth is the same as the improper fraction <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F5 ALIGN=MIDDLE  ALT=\"21%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4 \frac{1}{5} \times \frac{10}{21} \times \frac{9}{20}\"> ... Start with the given expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{21}{5} \times \frac{10}{21} \times \frac{9}{20}\"> ... Replace <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%261%2F5 ALIGN=MIDDLE  ALT=\"4%261%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" > with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=21%2F5 ALIGN=MIDDLE  ALT=\"21%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{21}{5} \times \frac{10}{21} \times \frac{9}{2\cdot10}\"> ... Factor 20 into <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A10 ALIGN=MIDDLE  ALT=\"2%2A10\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{\sout{21}}{5} \times \frac{\sout{10}}{\sout{21}} \times \frac{9}{2\cdot\sout{10}}\"> ... Cancel out the common terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{5} \times \frac{1}{1} \times \frac{9}{2\cdot1}\"> ... Simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{1}{5} \times \frac{1}{1} \times \frac{9}{2}\"> ... Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{9}{5\cdot2}\"> ... Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \frac{9}{10}\"> ... Multiply\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 4 \frac{1}{5} \times \frac{10}{21} \times \frac{9}{20}=\frac{9}{10}\"> </SPAN>\n" );
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