document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=283191>Question 283191</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Ok so im on adding and subtracting mixed numbers and Im so confused on how the numerator is changing with the denominator...I dont no if im making sense but here is an example...\r<BR>\n" );
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document.write( "9 3/4 + 8 5/6\r<BR>\n" );
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document.write( "the numerators changed to 9 9/12 and 8 10/12 so confused I understand how to find everything else but that! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #205586 by </B><A HREF=/tutors/aboutme.mpl?userid=oberobic><B>oberobic(2304)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=oberobic><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=205586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> When you're dealing with fractions you need to get everything to the same denominator.<BR>\n" );
document.write( "1/4 + 1/3 cannot be directly added using fractions.<BR>\n" );
document.write( "The least common multiple of 4 and 3 is 12, so they can have the same denominator of 12.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4+=+3%2F12 ALIGN=MIDDLE  ALT=\"1%2F4+=+3%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F3+=+4%2F12 ALIGN=MIDDLE  ALT=\"1%2F3+=+4%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F4%2B1%2F3+=+3%2F12%2B4%2F12+=+7%2F12 ALIGN=MIDDLE  ALT=\"1%2F4%2B1%2F3+=+3%2F12%2B4%2F12+=+7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "In this case, you're trying to add 9 3/4 + 8 5/6.<BR>\n" );
document.write( "The least common multiple of 4 and 6 is 12.  We can figure this out by multiplying 4*6=24, but we notice that 4=2*2 and 6=2*3, so 12 is the LEAST common multiple.<BR>\n" );
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document.write( "So...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=9%2B3%2F4+=+9%2B9%2F12 ALIGN=MIDDLE  ALT=\"9%2B3%2F4+=+9%2B9%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=8%2B5%2F6+=+8%2B10%2F12 ALIGN=MIDDLE  ALT=\"8%2B5%2F6+=+8%2B10%2F12\"   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=+%289%2B9%2F12%29+%2B+%288%2B10%2F12%29+=+17%2B19%2F12 ALIGN=MIDDLE  ALT=\"+%289%2B9%2F12%29+%2B+%288%2B10%2F12%29+=+17%2B19%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "But 19/12 is more than 1, it is <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+19%2F12+=+12%2F12+%2B+7%2F12+=+1%2B7%2F12 ALIGN=MIDDLE  ALT=\"+19%2F12+=+12%2F12+%2B+7%2F12+=+1%2B7%2F12\"   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=17%2B19%2F12+=+17+%2B+12%2F12+%2B+7%2F12+=+17+%2B+1+%2B+7%2F12+=+18%2B7%2F12 ALIGN=MIDDLE  ALT=\"17%2B19%2F12+=+17+%2B+12%2F12+%2B+7%2F12+=+17+%2B+1+%2B+7%2F12+=+18%2B7%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "How do we know that 3/4 = 9/12?<BR>\n" );
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document.write( "Well, remember the idea is the 'least common multiple'.<BR>\n" );
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document.write( "To change 3/4 to 9/12 you simply look at how many times 4 goes into 12.  12/4 = 3<BR>\n" );
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document.write( "So you multiply 3/4 by 3/3  (Remember, you can multiply any number by 1, in this case 1 is 3/3.)<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F3%29%2A%283%2F4%29+=+9%2F12 ALIGN=MIDDLE  ALT=\"%283%2F3%29%2A%283%2F4%29+=+9%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Similarly, how did 5/6 become 10/12?<BR>\n" );
document.write( "It is the same process:  12/6 = 2<BR>\n" );
document.write( "Multiply 5/6 by 1, which in this case is 2/2.<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F2%29%2A%285%2F6%29=10%2F12 ALIGN=MIDDLE  ALT=\"%282%2F2%29%2A%285%2F6%29=10%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Done </SPAN>\n" );
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