document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=596333>Question 596333</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hi,\r<BR>\n" );
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document.write( "Need help with a fraction problem:<BR>\n" );
document.write( "x+2 over 2 = 14 over 16\r<BR>\n" );
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document.write( "Would you explain the steps the arrive at the answer?<BR>\n" );
document.write( "Thank you!<BR>\n" );
document.write( "Carrie </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #377673 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><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=377673\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Your problem is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+2%29%2F2+=+14%2F16 ALIGN=MIDDLE  ALT=\"%28x+%2B+2%29%2F2+=+14%2F16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "It's not necessary to do this now, but let's begin by simplifying the right side of the equation. The fraction of 14 over 16 can be reduced to 7 over 8 by dividing both the numerator and the denominator by 2 to reduce the equation to:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28x+%2B+2%29%2F2+=+7%2F8 ALIGN=MIDDLE  ALT=\"%28x+%2B+2%29%2F2+=+7%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "We can now get rid of all the denominators by multiplying both the left and right sides of this equation by 8, which is a common denominator because the denominator 2 on the left side is also a factor of 8. Multiplying both sides by 8 results in:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2A%28x+%2B+2%29%29%2F2+=+%288%2A7%29%2F8 ALIGN=MIDDLE  ALT=\"%288%2A%28x+%2B+2%29%29%2F2+=+%288%2A7%29%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the right side of the equal sign the 8 in the numerator cancels with the 8 in the denominator as follows:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2A%28x+%2B+2%29%29%2F2+=+%28cross%288%29%2A7%29%2Fcross%288%29 ALIGN=MIDDLE  ALT=\"%288%2A%28x+%2B+2%29%29%2F2+=+%28cross%288%29%2A7%29%2Fcross%288%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "and we are left with just 7 on the right side as follows:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%288%2A%28x+%2B+2%29%29%2F2+=+7 ALIGN=MIDDLE  ALT=\"%288%2A%28x+%2B+2%29%29%2F2+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Then on the left side we can divide the 2 in the denominator into the 8 in the numerator. The result of this division is 4 and the left side reduces as shown below:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2A%28x+%2B+2%29+=+7 ALIGN=MIDDLE  ALT=\"4%2A%28x+%2B+2%29+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Do the distributed multiplication on the left side by multiplying the 4 times each of the terms in the parentheses to get:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+8+=+7 ALIGN=MIDDLE  ALT=\"4x+%2B+8+=+7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Get rid of the 8 on the left side by subtracting 8 from both sides as shown:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+%2B+8+-+8+=+7+-+8 ALIGN=MIDDLE  ALT=\"4x+%2B+8+-+8+=+7+-+8\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "On the left side the +8 and the -8 cancel each other. And on the right side the 7 and the -8 combine to give -1. The result is:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4x+=+-1 ALIGN=MIDDLE  ALT=\"4x+=+-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Finally, we can solve for x by dividing both sides by 4. On the left side this results in the 4x becoming just 4 and on the right side we get the fraction as shown:<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+-1%2F4 ALIGN=MIDDLE  ALT=\"x+=+-1%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "And that is the answer to this problem. I hope this helps you to understand the problem a little better and you can see a process by which it can be solved. </SPAN>\n" );
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