document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=341402>Question 341402</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is 1 1/4 times 3/4 divided by 3 1/2 times 2 1/4? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #244460 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=244460\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You have:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281+%2B+1%2F4%29+%2A+%283%2F4%29%29+%2F+%28%283+%2B+1%2F2%29+%2A+%282+%2B+1%2F4%29%29 ALIGN=MIDDLE  ALT=\"%28%281+%2B+1%2F4%29+%2A+%283%2F4%29%29+%2F+%28%283+%2B+1%2F2%29+%2A+%282+%2B+1%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "By the calculator, the answer should be equal to .119047619.\r<BR>\n" );
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document.write( "First you would want to make improper fractions out of the composite integers plus proper fractions.\r<BR>\n" );
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document.write( "1 + 1/4 is equivalent to 5/4 because 1 is equivalent to 4/4 and 4/4 + 1/4 = 5/4.\r<BR>\n" );
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document.write( "3 + 1/2 is equivalent to 7/2 because 3 is equivalent to 6/2 and 6/2 + 1/2 = 7/2.\r<BR>\n" );
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document.write( "2 + 1/4 is equivalent to 9/4 because 2 is equivalent to 8/4 and 8/4 + 1/4 = 9/4.\r<BR>\n" );
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document.write( "Your equation of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%281+%2B+1%2F4%29+%2A+%283%2F4%29%29+%2F+%28%283+%2B+1%2F2%29+%2A+%282+%2B+1%2F4%29%29 ALIGN=MIDDLE  ALT=\"%28%281+%2B+1%2F4%29+%2A+%283%2F4%29%29+%2F+%28%283+%2B+1%2F2%29+%2A+%282+%2B+1%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > becomes equivalent to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%285%2F4%29+%2A+%283%2F4%29%29+%2F+%28%287%2F2%29+%2A+%289%2F4%29%29 ALIGN=MIDDLE  ALT=\"%28%285%2F4%29+%2A+%283%2F4%29%29+%2F+%28%287%2F2%29+%2A+%289%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since (5/4) * (3/4) is equal to (5*3)/(4*3) which is equal to (15/16), and since (7/2) * (9/4) is equal to (7*9)/(2*4) which is equal to (63/8), then your equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2815%2F16%29%29+%2F+%28%2863%2F8%29%29 ALIGN=MIDDLE  ALT=\"%28%2815%2F16%29%29+%2F+%28%2863%2F8%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since (a/b) / (c/d) is the same as (a/b) * (d/c), then your equation becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2815%2F16%29%29+%2A+%28%288%2F63%29%29 ALIGN=MIDDLE  ALT=\"%28%2815%2F16%29%29+%2A+%28%288%2F63%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "This is also equivalent to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2A8%29%2F%2816%2A63%29 ALIGN=MIDDLE  ALT=\"%2815%2A8%29%2F%2816%2A63%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Since 8 goes into 8 and 16, and since 3 goes into 15 and 63, then this can be further simplified to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%2A1%29%2F%282%2A21%29 ALIGN=MIDDLE  ALT=\"%285%2A1%29%2F%282%2A21%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > which can be further simplified to:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%2F%2842%29 ALIGN=MIDDLE  ALT=\"%285%29%2F%2842%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "If you take 5 and divide it by 42, then you get .119047619.\r<BR>\n" );
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document.write( "Since this is the same number that we generated using the calculator, you can assume that it's good.\r<BR>\n" );
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document.write( "Your answer would be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%285%29%2F%2842%29 ALIGN=MIDDLE  ALT=\"%285%29%2F%2842%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because that fraction cannot be simplified any further.\r<BR>\n" );
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