document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=893352>Question 893352</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "Not sure how to find the solution to this:  The number 297 is 24 3/4% of which number?  The answer is 1,200.  I just have no idea how it was solved!   Can someone please tell me how to solve a problem like this step by step?  \r<BR>\n" );
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document.write( "Thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541216 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39617)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=541216\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824.75%2F100%29%2Aq=297 ALIGN=MIDDLE  ALT=\"%2824.75%2F100%29%2Aq=297\"   DISABLED_style= \"max-width:90%; height:auto;\" >, the percent used as a fraction for part per onehundred.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=297%28100%2F24.75%29 ALIGN=MIDDLE  ALT=\"q=297%28100%2F24.75%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and you could try to reduce or simplify the fraction.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=297%28100%2F24.75%29%284%2F4%29 ALIGN=MIDDLE  ALT=\"q=297%28100%2F24.75%29%284%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=297%28400%2F99%29 ALIGN=MIDDLE  ALT=\"297%28400%2F99%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833%2A9%2A400%29%2F%283%2A3%2A11%29 ALIGN=MIDDLE  ALT=\"%2833%2A9%2A400%29%2F%283%2A3%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833%2A9%2A400%29%2F%289%2A11%29 ALIGN=MIDDLE  ALT=\"%2833%2A9%2A400%29%2F%289%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833%2A400%29%2F11 ALIGN=MIDDLE  ALT=\"%2833%2A400%29%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2A400 ALIGN=MIDDLE  ALT=\"3%2A400\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1200=q ALIGN=MIDDLE  ALT=\"1200=q\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<b>Some confusion still reported.</b><BR>\n" );
document.write( "Turn the description around some:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24%263%2F4 ALIGN=MIDDLE  ALT=\"24%263%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > percent of the number q is 297.  What is q?\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2824%263%2F4%29%2F100%29%2Aq=297 ALIGN=MIDDLE  ALT=\"%28%2824%263%2F4%29%2F100%29%2Aq=297\"   DISABLED_style= \"max-width:90%; height:auto;\" >, translation into an equation, using meaning of PERCENT.  This is an equation.<BR>\n" );
document.write( "We can begin simplifying the equation using the RECIPROCAL of the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2824%263%2F4%29%2F%28100%29 ALIGN=MIDDLE  ALT=\"%2824%263%2F4%29%2F%28100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "A number multiplied by its reciprocal is 1; and 1 multiplied by a number is still the number being multiplied.\r<BR>\n" );
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document.write( " <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2824%263%2F4%29%2F100%29%2Aq%28100%2F%2824%263%2F4%29%29=297%28100%2F%2824%263%2F4%29%29 ALIGN=MIDDLE  ALT=\"%28%2824%263%2F4%29%2F100%29%2Aq%28100%2F%2824%263%2F4%29%29=297%28100%2F%2824%263%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, still an equality because multiplied BOTH sides by same number.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2824%263%2F4%29%2F100%29%28100%2F%2824%263%2F4%29%29q=297%28100%2F%2824%263%2F4%29%29 ALIGN=MIDDLE  ALT=\"%28%2824%263%2F4%29%2F100%29%28100%2F%2824%263%2F4%29%29q=297%28100%2F%2824%263%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, factors in a product can be moved to other positions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Aq=297%28100%2F%2824%263%2F4%29%29 ALIGN=MIDDLE  ALT=\"1%2Aq=297%28100%2F%2824%263%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, fraction multiplied by its reciprocal equals 1.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=297%28100%2F%2824%263%2F4%29%29 ALIGN=MIDDLE  ALT=\"q=297%28100%2F%2824%263%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, same thing; multiplication by 1.<BR>\n" );
document.write( "This is where you became stuck.<BR>\n" );
document.write( "Simplify that complex fraction factor.<BR>\n" );
document.write( "Note the denominator within the denominator, is 4.  AGAIN perform a multiplication by 1 on the<BR>\n" );
document.write( "right side, in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F4 ALIGN=MIDDLE  ALT=\"4%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  This will not change the meaning.  It will only allow<BR>\n" );
document.write( "simplification of the fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=297%28100%2F%2824%2B3%2F4%29%29%284%2F4%29 ALIGN=MIDDLE  ALT=\"q=297%28100%2F%2824%2B3%2F4%29%29%284%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, which might still not be the best form for you, since you maybe are not<BR>\n" );
document.write( "yet familiar with the distributive property; but I continue this way...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=297%28%28100%2A4%29%2F%284%2824%2B3%2F4%29%29%29 ALIGN=MIDDLE  ALT=\"q=297%28%28100%2A4%29%2F%284%2824%2B3%2F4%29%29%29\"   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=q=297%28%28400%29%2F%284%2A24%2B4%2A3%2F4%29%29 ALIGN=MIDDLE  ALT=\"q=297%28%28400%29%2F%284%2A24%2B4%2A3%2F4%29%29\"   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=q=297%28400%2F%2896%2B3%29%29 ALIGN=MIDDLE  ALT=\"q=297%28400%2F%2896%2B3%29%29\"   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=highlight_green%28q=297%28400%2F99%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28q=297%28400%2F99%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "What comes next is just simplification; looking for factors common to both numerator and denominator<BR>\n" );
document.write( "and eliminating those which form factors of 1.  Use you standard elementary divisibility rules.<BR>\n" );
document.write( "You will find that 297 is a product of 9.  99 is also a product of 9.\r<BR>\n" );
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document.write( "ALMOST Complete Prime Factorization of the expression for q:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2833%2A9%2A400%29%2F%289%2A11%29 ALIGN=MIDDLE  ALT=\"%2833%2A9%2A400%29%2F%289%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2A11%2A3%2A3%2A400%29%2F%283%2A3%2A11%29 ALIGN=MIDDLE  ALT=\"%283%2A11%2A3%2A3%2A400%29%2F%283%2A3%2A11%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Across%2811%2A3%2A3%29%2A400%29%2F%28cross%283%2A3%2A11%29%29 ALIGN=MIDDLE  ALT=\"%283%2Across%2811%2A3%2A3%29%2A400%29%2F%28cross%283%2A3%2A11%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%283%2A400=highlight%281200%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%283%2A400=highlight%281200%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "(I did this WITHOUT a calculator except for factorizing the 297). </SPAN>\n" );
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