document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=471803>Question 471803</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (3/4)(5/7)<BR>\n" );
document.write( "-5+3/5<BR>\n" );
document.write( "2/3-3/5<BR>\n" );
document.write( "(2/5)/5\r<BR>\n" );
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document.write( "show that the following are rational numbers </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323571 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323571\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Any number that is to 1 in the same ratio as two natural numbers, is called a rational number.  A rational number, then, is any number that we could write as a fraction.\r<BR>\n" );
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document.write( "We have seen that EVERY FRACTION   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%2Fb ALIGN=MIDDLE  ALT=\"a%2Fb\"   DISABLED_style= \"max-width:90%; height:auto;\" >  has the same ratio to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"1\"   DISABLED_style= \"max-width:90%; height:auto;\" > as the numerator has to the denominator: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28a%2Fb%29+%3A+1++=++a+%3A+b ALIGN=MIDDLE  ALT=\"%28a%2Fb%29+%3A+1++=++a+%3A+b\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2F4%29%285%2F7%29=3%2A5%2F4%2A7=15%2F28 ALIGN=MIDDLE  ALT=\"%283%2F4%29%285%2F7%29=3%2A5%2F4%2A7=15%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "proof:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2F28%29%3A1=15%3A28 ALIGN=MIDDLE  ALT=\"%2815%2F28%29%3A1=15%3A28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2F28%29%2F%281%2F1%29=15%2F28 ALIGN=MIDDLE  ALT=\"%2815%2F28%29%2F%281%2F1%29=15%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2815%2A1%2F28%2A1%29=15%2F28 ALIGN=MIDDLE  ALT=\"%2815%2A1%2F28%2A1%29=15%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=15%2F28=15%2F28 ALIGN=MIDDLE  ALT=\"15%2F28=15%2F28\"   DISABLED_style= \"max-width:90%; height:auto;\" >........rational\r<BR>\n" );
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document.write( "use same way to prove the following problems\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-5%2B3%2F5=-25%2F5%2B3%2F5=-22%2F5 ALIGN=MIDDLE  ALT=\"-5%2B3%2F5=-25%2F5%2B3%2F5=-22%2F5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2F3-3%2F5=2%2A5%2F3%2A5-3%2A3%2F5%2A3=10%2F15-9%2F15=1%2F15 ALIGN=MIDDLE  ALT=\"2%2F3-3%2F5=2%2A5%2F3%2A5-3%2A3%2F5%2A3=10%2F15-9%2F15=1%2F15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2F5%29%2F5=%282%2F5%29%2F%285%2F1%29=2%2A5%2F5%2A1=2%2F1 ALIGN=MIDDLE  ALT=\"%282%2F5%29%2F5=%282%2F5%29%2F%285%2F1%29=2%2A5%2F5%2A1=2%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so, all are rational numbers\r<BR>\n" );
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document.write( " </SPAN>\n" );
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