document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=980537>Question 980537</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi there! \r<BR>\n" );
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document.write( "My question is: Find 83 2/3 % of 12.6\r<BR>\n" );
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document.write( "This website shows how to do this problem, but I am having trouble understanding it. Could anyone please break it down and explain step by step what the process is without the usage of a calculator.\r<BR>\n" );
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document.write( "It is example 4 on this page: <BR>\n" );
document.write( "http://amby.com/educate/math/4-2_prop.html\r<BR>\n" );
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document.write( "What I don't understand most is how they got 126/10 and 251/3. Where are the denominators of those fractions coming from? I do know how 251 came about (from the 83 & 2/3). What I have done is set up my equation exactly like the site has however I thought you have  to multiply 12.6 (251) divided by 100 to get x. Please help!\r<BR>\n" );
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document.write( "Thanks in advance!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #601664 by </B><A HREF=/tutors/aboutme.mpl?userid=macston><B>macston(5194)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=macston><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=macston><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=601664\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "Using given method:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F12.6=%2883%2B2%2F3%29%2F100 ALIGN=MIDDLE  ALT=\"x%2F12.6=%2883%2B2%2F3%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
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document.write( "Convert mixed fractions and decimals to improper fractions.<BR>\n" );
document.write( "12.6 = 12 6/10 = 126/10 This denominator from tenths in the decimal.<BR>\n" );
document.write( "83 2/3 = 251/3 This denominator from thirds in the percent.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%2F%28126%2F10%29=%28251%2F3%29%2F100 ALIGN=MIDDLE  ALT=\"x%2F%28126%2F10%29=%28251%2F3%29%2F100\"   DISABLED_style= \"max-width:90%; height:auto;\" > Cross multiply<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x=%28126%2F10%29%28251%2F3%29 ALIGN=MIDDLE  ALT=\"100x=%28126%2F10%29%28251%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=100x=31626%2F30 ALIGN=MIDDLE  ALT=\"100x=31626%2F30\"   DISABLED_style= \"max-width:90%; height:auto;\" > Divide each side by 100.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=31626%2F3000 ALIGN=MIDDLE  ALT=\"x=31626%2F3000\"   DISABLED_style= \"max-width:90%; height:auto;\" > Convert right side to thousands,<BR>\n" );
document.write( "multiply by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F3%29%2F%281%2F3%29 ALIGN=MIDDLE  ALT=\"%281%2F3%29%2F%281%2F3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (equivalent to 1) to make it easier<BR>\n" );
document.write( "to convert to decimal.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10542%2F1000 ALIGN=MIDDLE  ALT=\"x=10542%2F1000\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=10.542 ALIGN=MIDDLE  ALT=\"x=10.542\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Even by hand (without calculator), I find it quicker to use:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28.8367%29%2812.6%29=10.542 ALIGN=MIDDLE  ALT=\"%28.8367%29%2812.6%29=10.542\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "though the first method avoids any error from rounding.\r<BR>\n" );
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