document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1085450>Question 1085450</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Why is 4 over 5 greater than 2 over 3? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #699530 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=699530\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> to compare fractions, put them both under the same denominator.\r<BR>\n" );
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document.write( "your fractions are 4/5 and 2/3\r<BR>\n" );
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document.write( "5 and 3 have a common multiple of 15, so make both fractions have a denominator of 15.\r<BR>\n" );
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document.write( "you do this by:\r<BR>\n" );
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document.write( "multiplying 4/5 by 3/3 to get 12/15\r<BR>\n" );
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document.write( "multiplying 2/3 by 5/5 to get 10/15\r<BR>\n" );
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document.write( "12/15 is greater than 10/15.\r<BR>\n" );
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document.write( "why can you multiply by 3/3 or 5/5 and not change the fraction?\r<BR>\n" );
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document.write( "because 3/3 is equal to 1 and 5/5 is equal to 1 and multiplying any number by 1 gives you the same number.\r<BR>\n" );
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document.write( "another way to do it physically is to cut strips of paper the same length and then divide one strip into 3 equal parts and the divide the other strip into 5 equal parts.\r<BR>\n" );
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document.write( "then put 2 of the 3 strips together and compare them to 4 of the 5 strips together.\r<BR>\n" );
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document.write( "you will see that the 4/5 strip is larger than the 2/3 strip.\r<BR>\n" );
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document.write( "most of the time when you compare fractions, you put them under the same denominator.\r<BR>\n" );
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document.write( "you do this to add them together and to subtract them from each other as well.\r<BR>\n" );
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document.write( "not sure what grade you're in, but there are other methods, such as setting up an inequality and then solving that inequality to see if it's true.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "4/5 > 2/3 means 4/5 is greater than 2/3.\r<BR>\n" );
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document.write( "multiply both sides of this inequality by 15 and you get 12 > 10 which is true, therefore confirming that 4/5 truly is greater than 2/3.\r<BR>\n" );
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document.write( "if you haven't learned that yet, don't worry about it; you will eventually.\r<BR>\n" );
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