document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1199403>Question 1199403</A>: <I><SPAN STYLE=\"word-break: break-all;\"> say you divide 75.92 by 1.3<BR>\n" );
document.write( "I multiplied 75.92 by 100 so it becomes 7592<BR>\n" );
document.write( "I also multiplied 1.3 by 10 to get a whole number , 13<BR>\n" );
document.write( "Then, I divided the whole numbers (7592 division 13 ) and got 584<BR>\n" );
document.write( "Now, I divided 584 by 10 and 100 since I want to reverse the multiplication I did before and so I get : 0.584 <BR>\n" );
document.write( "But that is not the correct answer . So , then How do I work such problems please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #833274 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=833274\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font color=black size=3><BR>\n" );
document.write( "This is the original fraction you started with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875.92%29%2F%281.3%29 ALIGN=MIDDLE  ALT=\"%2875.92%29%2F%281.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You then multiplied the numerator by 100, and the denominator by 10<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875.92%2A100%29%2F%281.3%2A10%29 ALIGN=MIDDLE  ALT=\"%2875.92%2A100%29%2F%281.3%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "to end up with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7592%2F13 ALIGN=MIDDLE  ALT=\"7592%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You correctly found that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7592%2F13+=+584 ALIGN=MIDDLE  ALT=\"7592%2F13+=+584\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "The problem is that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875.92%29%2F%281.3%29 ALIGN=MIDDLE  ALT=\"%2875.92%29%2F%281.3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is NOT the same as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=7592%2F13 ALIGN=MIDDLE  ALT=\"7592%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The reason for that is because the factor (100/10) isn't 1, so you multiplied by some number larger than 1.<BR>\n" );
document.write( "Meaning that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875.92%29%2F%281.3%29+%3C+7592%2F13 ALIGN=MIDDLE  ALT=\"%2875.92%29%2F%281.3%29+%3C+7592%2F13\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Let's pull out those terms to form another fraction<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875.92%2A100%29%2F%281.3%2A10%29 ALIGN=MIDDLE  ALT=\"%2875.92%2A100%29%2F%281.3%2A10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2875.92%29%2F%281.3%29%29%2A%28100%2F10%29 ALIGN=MIDDLE  ALT=\"%28%2875.92%29%2F%281.3%29%29%2A%28100%2F10%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "In order to cancel out the 100/10, we need to multiply by 10/100. <BR>\n" );
document.write( "This is the reciprocal.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%2875.92%29%2F%281.3%29%29%2A%28100%2F10%29 ALIGN=MIDDLE  ALT=\"%28%2875.92%29%2F%281.3%29%29%2A%28100%2F10%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=%28%2875.92%29%2F%281.3%29%29%2A%28100%2F10%29%2A%2810%2F100%29 ALIGN=MIDDLE  ALT=\"%28%2875.92%29%2F%281.3%29%29%2A%28100%2F10%29%2A%2810%2F100%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then notice how 10/100 = 1/10 = 0.1<BR>\n" );
document.write( "This tells us to move the decimal point one spot to the left.<BR>\n" );
document.write( "This effectively corrects what happened when applying the factor (100/10).\r<BR>\n" );
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document.write( "You'll go from the result you got, 584, to <font color=red>58.4</font> after moving the decimal point one spot to the left.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875.92%29%2F%281.3%29+=+highlight%2858.4%29 ALIGN=MIDDLE  ALT=\"%2875.92%29%2F%281.3%29+=+highlight%2858.4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------\r<BR>\n" );
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document.write( "As the tutors have mentioned, it's best to move the decimal point the same number of spots for both numerator and denominator.<BR>\n" );
document.write( "If you were to move each decimal point one spot to the right for instance, then you're multiplying top and bottom by 10.<BR>\n" );
document.write( "This is the same as multiplying by 1 since 10/10 = 1.\r<BR>\n" );
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document.write( "In other words,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2875.92%29%2F%281.3%29+=+%28%2875.92%29%2F%281.3%29%29%2A1+=+%28%2875.92%29%2F%281.3%29%29%2A%2810%2F10%29+=+%2875.92%2A10%29%2F%281.3%2A10%29+=+%28759.2%29%2F%2813%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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