document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1173893>Question 1173893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 7 + 4/5a - 2/3a + 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "              this is a simplifying questions </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #799215 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=799215\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> expression is:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7 + 4/5 * a - 2/3 * a + 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "put both fractions under the common denominator of 15 to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "7 + 12/15 * a - 10/15 * a + 2\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "combine like terms to get:\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "9 + 2/15 * a.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "confirm by assigning a random value to a and evaluate both the original expression and the final expression to see if they provide the same value.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "i chose 35 as my random value.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "original expression of 7 + 4/5 * a - 2/3 * a + 2 becomes:<BR>\n" );
document.write( "7 + 4/5 * 35 - 2/3 * 35 + 2 = 13 and 2/3.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "final expression of 9 + 2/3 * a becomes:<BR>\n" );
document.write( "9 + 2/15 * 35 = 13 and 2/3\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "they're the same, confirming the simplified expression provides the same value as the original expression.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );