document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1198341>Question 1198341</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B++1%2F%28+b%2B2%2Fc+%29+=+17%2F5++ ALIGN=MIDDLE  ALT=\"+a+%2B++1%2F%28+b%2B2%2Fc+%29+=+17%2F5++\"   DISABLED_style= \"max-width:90%; height:auto;\" >, where a is the integer part of the mixed number, and c is the numerator of the fraction part of the mixed number when the mixed number is written in the least terms, find the product abc.\r<BR>\n" );
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document.write( "A) 9<BR>\n" );
document.write( "B) 18<BR>\n" );
document.write( "C) 6<BR>\n" );
document.write( "D) 30<BR>\n" );
document.write( "E) 3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #831919 by </B><A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><B>math_tutor2020(3817)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_tutor2020><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=831919\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "Rewrite the improper fraction 17/5 into its mixed number format.<BR>\n" );
document.write( "17/5 = (15+2)/5<BR>\n" );
document.write( "17/5 = (15/5)+(2/5)<BR>\n" );
document.write( "17/5 = 3+(2/5)<BR>\n" );
document.write( "17/5 = 3 & 2/5\r<BR>\n" );
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document.write( "'a' is the integer part, or whole part, of the mixed number.<BR>\n" );
document.write( "Therefore a = 3.\r<BR>\n" );
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document.write( "c is the numerator of the fractional part when the fraction is fully reduced. <BR>\n" );
document.write( "We have c = 2.\r<BR>\n" );
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document.write( "Let's simplify the left hand side of the given equation.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+a+%2B++1%2F%28+%28bc%29%2Fc%2B2%2Fc+%29+=+17%2F5++ ALIGN=MIDDLE  ALT=\"+a+%2B++1%2F%28+%28bc%29%2Fc%2B2%2Fc+%29+=+17%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/plot-formula.mpl?expression=+a+%2B++1%2F%28+%28bc%2B2%29%2Fc+%29+=+17%2F5++ ALIGN=MIDDLE  ALT=\"+a+%2B++1%2F%28+%28bc%2B2%29%2Fc+%29+=+17%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/plot-formula.mpl?expression=+a+%2B++c%2F%28bc%2B2%29+=+17%2F5++ ALIGN=MIDDLE  ALT=\"+a+%2B++c%2F%28bc%2B2%29+=+17%2F5++\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then plug in a = 3 and c = 2.<BR>\n" );
document.write( "Also, let's replace the 17/5 with 3 + 2/5 we found earlier.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+3+%2B++2%2F%28b%2A2%2B2%29+=+17%2F5++ ALIGN=MIDDLE  ALT=\"+3+%2B++2%2F%28b%2A2%2B2%29+=+17%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/plot-formula.mpl?expression=+3+%2B++2%2F%282b%2B2%29+=+17%2F5++ ALIGN=MIDDLE  ALT=\"+3+%2B++2%2F%282b%2B2%29+=+17%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/plot-formula.mpl?expression=+3+%2B++2%2F%282b%2B2%29+=+3+%2B+2%2F5++ ALIGN=MIDDLE  ALT=\"+3+%2B++2%2F%282b%2B2%29+=+3+%2B+2%2F5++\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "It's clear that the fractional part <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%282b%2B2%29 ALIGN=MIDDLE  ALT=\"2%2F%282b%2B2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be equal to 2/5. <BR>\n" );
document.write( "Furthermore, the denominator <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2b%2B2 ALIGN=MIDDLE  ALT=\"2b%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" > must be 5.\r<BR>\n" );
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document.write( "We'll use this fact to find b.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F%282b%2B2%29+=+2%2F5 ALIGN=MIDDLE  ALT=\"2%2F%282b%2B2%29+=+2%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/plot-formula.mpl?expression=2b%2B2+=+5 ALIGN=MIDDLE  ALT=\"2b%2B2+=+5\"   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=2b+=+5-2 ALIGN=MIDDLE  ALT=\"2b+=+5-2\"   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=2b+=+3 ALIGN=MIDDLE  ALT=\"2b+=+3\"   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=b+=+3%2F2 ALIGN=MIDDLE  ALT=\"b+=+3%2F2\"   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=b+=+1.5 ALIGN=MIDDLE  ALT=\"b+=+1.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Summary:<BR>\n" );
document.write( "a = 3<BR>\n" );
document.write( "b = 3/2 = 1.5<BR>\n" );
document.write( "c = 2\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Ab%2Ac+=+3%2A1.5%2A2+=+9 ALIGN=MIDDLE  ALT=\"a%2Ab%2Ac+=+3%2A1.5%2A2+=+9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer: <font color=red>Choice A) 9</font><BR>\n" );
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