document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=509148>Question 509148</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How would you simplify 5/6+2/3*3/4-1/4*2/5 to equal 37/30? I tried it and got 82/30. <BR>\n" );
document.write( "This is how I did it:\r<BR>\n" );
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document.write( "5/6+2/3*3/4-1/4*2/5<BR>\n" );
document.write( "I canceled the threes out and got 1*2 then I also cross cancelled the 2 and 4 making it a 1 and 2, I did that again to the 1/4 and the 2/5 leaving me with this.<BR>\n" );
document.write( "5/6+2-1/10<BR>\n" );
document.write( "after that I found the lcd which is 30<BR>\n" );
document.write( "I Plug that in leaving me with this <BR>\n" );
document.write( "5/6=25/30<BR>\n" );
document.write( "2/1=60/30<BR>\n" );
document.write( "1/10=3/30<BR>\n" );
document.write( "when you plug those in to the equation they equal 82/30<BR>\n" );
document.write( "the answer is suppose to be 37/30 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #341279 by </B><A HREF=/tutors/aboutme.mpl?userid=swincher4391><B>swincher4391(1107)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=swincher4391><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=swincher4391><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=341279\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let's add some parenthesis to emphasize order of operations here.\r<BR>\n" );
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document.write( "5/6+(2/3*3/4)-(1/4*2/5)\r<BR>\n" );
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document.write( "Left most parenthesis:\r<BR>\n" );
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document.write( "(2/3) * (3/4)  cancel out the threes to get (2/4) which reduces to 1/2.\r<BR>\n" );
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document.write( "Right most parenthesis\r<BR>\n" );
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document.write( "(1/4) * (2/5)  cancel out the 2, reduce the 4 to a 2  to get  (1/(2*5)) = 1/10.\r<BR>\n" );
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document.write( "so we have  (5/6) + (1/2) - (1/10)\r<BR>\n" );
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document.write( "Least Common Multiple of 6,12 and 10 is 60.\r<BR>\n" );
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document.write( "(50/60) + (30/60) - (6/60) =  74/60 (reduces to)  37/30 <---- Answer </SPAN>\n" );
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