document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1122876>Question 1122876</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7/5+6/7+8/6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #739057 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=739057\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 7/5 + 6/7 + 8/6\r<BR>\n" );
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document.write( "our denominators are 5, 7, and 6<BR>\n" );
document.write( "you need to find the least common multiple, or any common multiple if you can't find that.\r<BR>\n" );
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document.write( "an easy way to find a common multiple, not necessarily the least common multiple, is to multiple the denominators together.\r<BR>\n" );
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document.write( "you will get 5 * 7 * 6 = 210\r<BR>\n" );
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document.write( "the recommended way is to break each number down into their prime factors.\r<BR>\n" );
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document.write( "for 5, that would be 5<BR>\n" );
document.write( "for 7, that would be 7<BR>\n" );
document.write( "for 6 that would be 2 * 3.\r<BR>\n" );
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document.write( "then multiply by the greatest number of prime factors in each number.\r<BR>\n" );
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document.write( "that would be 5 * 7 * 2 * 3 = 210\r<BR>\n" );
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document.write( "it turns out the least common multiple is simply 5 * 7 * 6 = 210 for the denominator of the fractions.\r<BR>\n" );
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document.write( "here's a reference on how to find the least common multiple.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.math.com/school/subject1/lessons/S1U3L3DP.html\" target = \"_blank\">http://www.math.com/school/subject1/lessons/S1U3L3DP.html</a>\r<BR>\n" );
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document.write( "so, your least common denominator is 210.\r<BR>\n" );
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document.write( "your fractions are, once again:\r<BR>\n" );
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document.write( "7/5 + 6/7 + 8/6\r<BR>\n" );
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document.write( "your common denominator is 210.\r<BR>\n" );
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document.write( "for 7/5, divide 210 by 5 to get 42.<BR>\n" );
document.write( "multiply 7/5 by 42/42 to get 294/210\r<BR>\n" );
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document.write( "for 6/7, divide 210 by 7 to get 30<BR>\n" );
document.write( "multiply 6/7 by 30/30 to get 180/210\r<BR>\n" );
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document.write( "for 8/6, divide 210 by 6 to get 35<BR>\n" );
document.write( "multiply 8/6 by 35/35 to get 280/210\r<BR>\n" );
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document.write( "now add 294/210 + 180/210 + 280/210<BR>\n" );
document.write( "since they all have the same common denominator, then just add the numerators and keep the common denominator on the bottom.\r<BR>\n" );
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document.write( "you will get 294 + 180 + 280 = 754 / 210\r<BR>\n" );
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document.write( "this fraction can be reduced to 377 / 105 by dividing both numerator and denominator by 2.\r<BR>\n" );
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document.write( "it does not appear to be able to be reduced any further.\r<BR>\n" );
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document.write( "your final answer is therefore 377 / 105.\r<BR>\n" );
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document.write( "to see if this is correct, simply use your calculator to do the following.\r<BR>\n" );
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document.write( "in your calculator, enter 7/5 + 6/7 + 8/6 and hit enter to get 3.59047619\r<BR>\n" );
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document.write( "enter 377/105 and hit enter to get 3.59047619\r<BR>\n" );
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document.write( "since they're the same, you can be sure that 377 / 105 is the same value as 7/5 + 6/7 + 8/6.\r<BR>\n" );
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document.write( "this means you did it right.\r<BR>\n" );
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