document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=222971>Question 222971</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How to solve linear equations with fractions step by step? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #166825 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=166825\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> easiest thing to do normally is to multiply both sides of the equation by a factor that will result in the removal of the fractions.\r<BR>\n" );
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document.write( "example:\r<BR>\n" );
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document.write( "(5/8)*x + (3/15) * y = 70\r<BR>\n" );
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document.write( "multiply both sides of this equation by (8*15) to get:\r<BR>\n" );
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document.write( "(5/8)*8*15*x + (3/15)*8*15*y = 70*8*15\r<BR>\n" );
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document.write( "this results in:\r<BR>\n" );
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document.write( "5*15*x + 3*8*y = 70*8*15\r<BR>\n" );
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document.write( "simplify and then solve.\r<BR>\n" );
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document.write( "another way is to get a common denominator so you can combine the fractions.\r<BR>\n" );
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document.write( "this should result in the same equation above.\r<BR>\n" );
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document.write( "original equation is again:\r<BR>\n" );
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document.write( "(5/8)*x + (3/15) * y = 70\r<BR>\n" );
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document.write( "this equation is the same as:\r<BR>\n" );
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document.write( "5*x/8 + 3*y/15 = 70\r<BR>\n" );
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document.write( "multiply numerator and denominator of the first fraction by 15/15 and multiply the numerator and denominator of the second fraction by 8/8 to get:\r<BR>\n" );
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document.write( "(5*x*15)/(8*15) + (3*y*8)/(8*15) = 70\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "(5*x*15 + 3*y*8) / (8*15) = 70\r<BR>\n" );
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document.write( "multiply both sides of this equation by 8*15 to get:\r<BR>\n" );
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document.write( "5*15*x + 3*8*y = 70*8*15\r<BR>\n" );
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document.write( "I prefer to multiply both sides of the equation by a common factor to get rid of the denominators but you can do it either way.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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