132

<body topmargin=0 leftmargin=0 marginheight=0 marginwidth=0> <table cellpadding=0 cellspacing=0 border=0><tr> <td valign="top" colspan=3 height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div> <FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>M</B></FONT><FONT SIZE="4" COLOR="#FFFFFF" FACE="Georgia" ><B>atemáticas de la U</B></FONT><B> (MatU)  | </B><A HREF="http://www.jcbmat.com/" TARGET="_top" TITLE="http://www.jcbmat.com/"><U><B>Home</B></U></A><B> | </B><A HREF="index.htm" TARGET="_top" TITLE="Álgebra de Baldor"><U><B>Algebra de Baldor</B></U></A><B> |  </B><A HREF="id1076.htm" TARGET="_top" TITLE="Índice temático"><U><B>Índice temático</B></U></A><B>  |  </B><A HREF="id1073.htm" TARGET="_top" TITLE="Lista"><U><B>Lista de Ejercicios</B></U></A><B> |</B></div> </td> </tr><tr> <td valign="top" rowspan="2" width=165 BGCOLOR="#FFFFFF" TEXT="#080000"> <bR> <div> <B> <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:160px;height:600px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="3073775660"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </B></div> </td> <td valign="top" height=432 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <B>132</B></div> <div> <B>Operaciones con fracciones</B></div> <div> <B>Multilplicación de fracciones</B></div> <bR> <div>  <script async src="//pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:728px;height:90px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="5388515922"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <B>P r o c e d i m i e n t o :</B></div> <div> <B>1.</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" >  Se factorizan las expresiones en los numeradores y denominadores</FONT></div> <div> <B>2.</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" >  Se simplifica, cancelando los factores comunes en numeradores y denominadores</FONT></div> <div> <B>3.</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" >  Se multiplican entre sí las expresiones ubicadas en los numeradores, el resultado será el numerador de la fracción producto; asimismo, se multiplican entre sí las expresiones escritas en los denominadores, este producto será el denominador de la fracción resultado.  </FONT></div> <div> <B>Consejo:</B><FONT SIZE="3" COLOR="#000000" FACE="Bell MT" > Para realizar los ejercicios siguientes es indispensable dominar por completo la factorización, por lo cual recomiendo que se estudie primero, concienzudamente, los 10 casos de factorización (Ejercicios 89 a 110).</FONT></div> <DIV ALIGN="LEFT"></DIV> <div> <TABLE BORDER="2" CELLPADDING="2" CELLSPACING="1" WIDTH="464" BORDERCOLORLIGHT="#C0C0C0" BORDERCOLORDARK="#808080" FRAME="BOX" RULES="ALL" ALIGN="BOTTOM" HSPACE="0" VSPACE="0" > <tR> <tD VALIGN=TOP COLSPAN=3 HEIGHT= 37 ><NOBR><div> <B>V</B><FONT SIZE="4" COLOR="#000000" FACE="Bell MT" >ideos e imágenes sobre la solución de los ejercicios:</FONT></div> </NOBR></tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>1</B></FONT>:</div> <div> <A HREF="#1" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>2</B></FONT>:</div> <div> <A HREF="#2" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>3</B></FONT>:</div> <div> <A HREF="#3" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>4</B></FONT>:</div> <div> <A HREF="#4" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>5</B></FONT>:</div> <div> <A HREF="#5" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>6</B></FONT>:</div> <div> <A HREF="#6" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>7</B></FONT>:</div> <div> <A HREF="#7" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>8</B></FONT>:</div> <div> <A HREF="#8" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>9</B></FONT>:</div> <div> <A HREF="#9" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> <tR> <tD VALIGN=TOP HEIGHT= 81 WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>10</B></FONT>:</div> <div> <A HREF="#10" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>26</B></FONT>:</div> <div> <A HREF="#26" TITLE="132"><U><IMG SRC="591f30300.jpg" border=0 width="48" height="48" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> <tD VALIGN=TOP WIDTH="146"><div> <FONT SIZE="5" COLOR="#0099CC" FACE="Times New Roman" ><B>E</B></FONT>jercicio <FONT SIZE="3" COLOR="#FF0000" FACE="Times New Roman" ><B>27</B></FONT><B>:</B></div> <div> <A HREF="http://youtu.be/6c0-PRtwRsk" TARGET="_top" TITLE="http://youtu.be/6c0-PRtwRsk"><U><IMG SRC="58f3302e0.gif" border=0 width="48" height="46" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> </tD> </tR> </TABLE></div> <bR> <div> <B>S </B><FONT SIZE="3" COLOR="#000000" FACE="Times New Roman" >i m p l i f i c a r :</FONT></div> <div>  <A NAME="1"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>1</div> <div> <IMG SRC="5e42899d0.gif" border=0 width="393" height="157" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="2"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>2</div> <div> <IMG SRC="5e95c59d0.gif" border=0 width="453" height="157" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="3"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>3</div> <div> <IMG SRC="5e96dca80.gif" border=0 width="476" height="168" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="4"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>4</div> <div> <IMG SRC="5e978f980.gif" border=0 width="399" height="152" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="5"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>5</div> <div> <IMG SRC="5e43cfa80.gif" border=0 width="463" height="168" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="6"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>6</div> <div> <IMG SRC="5e98cf9d0.gif" border=0 width="463" height="157" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="7"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>7</div> <div> <IMG SRC="5e99b4cf0.gif" border=0 width="436" height="207" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="8"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>8</div> <div> <IMG SRC="5e9ac8c70.gif" border=0 width="456" height="199" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="9"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>9</div> <div> <IMG SRC="5e440bd30.gif" border=0 width="523" height="211" ALT="MathType 5.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <div>  <A NAME="10"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>10</div> <div> <IMG SRC="5e9b07d80.gif" border=0 width="519" height="216" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <div>  <A NAME="26"><IMG BORDER="0" SRC="1x1.gif" HEIGHT="1" ALIGN="bottom" WIDTH="1" HSPACE="0" VSPACE="0" ></A>26</div> <div> <IMG SRC="5e9c94ed0.gif" border=0 width="660" height="237" ALT="MathType 6.0 Equation" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></div> <bR> <bR> <DIV ALIGN="LEFT"></DIV> <div> <A HREF="http://twitter.com/Calculo21" TARGET="_top" TITLE="http://twitter.com/Calculo21"><U><IMG SRC="2fc828280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="http://www.facebook.com/juan.beltran.58511" TARGET="_top" TITLE="http://www.facebook.com/juan.beltran.585"><U><IMG SRC="76fa28280.gif" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A><A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><IMG SRC="2fca28280.jpg" border=0 width="40" height="40" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></U></A></div> <bR> <div> Por: <FONT SIZE="4" COLOR="#FF9900" FACE="Times New Roman" >Juan Carlos </FONT><FONT SIZE="4" COLOR="#0000FF" FACE="Times New Roman" >Beltrán</FONT> <FONT SIZE="4" COLOR="#FF0000" FACE="Times New Roman" >Beltrán </FONT></div> <bR> <div>  <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js"></script>  <ins class="adsbygoogle" style="display:inline-block;width:970px;height:250px" data-ad-client="ca-pub-1578463498418701" data-ad-slot="8553279920"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script>  </div> <bR> <div> <A HREF="http://jcbmat.com/" TARGET="_top" TITLE="http://jcbmat.com/"><U><B><IMG SRC="76fee5530.gif" border=0 width="741" height="83" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <div> | <A HREF="http://www.aritmetica.jcbmat.com/" TARGET="_top" TITLE="http://www.aritmetica.jcbmat.com/"><U>Aritmética</U></A> | <A HREF="http://www.algebra.jcbmat.com/index.htm" TARGET="_top" TITLE="http://www.algebra.jcbmat.com/index.htm"><U>Álgebra de Baldor</U></A> | <A HREF="http://www.precalculo.jcbmat.com/" TARGET="_top" TITLE="http://www.precalculo.jcbmat.com/"><U>Precálculo</U></A> |</div> <div> | <A HREF="http://www.calculo.jcbmat.com/" TARGET="_top" TITLE="http://www.calculo.jcbmat.com/"><U>Cálculo de una variable</U></A> | </div> <div> | <A HREF="http://www.ecuacionesdiferenciales.jcbmat.com/index.htm" TARGET="_top" TITLE="http://www.ecuacionesdiferenciales.jcbma"><U>Ecuaciones diferenciales</U></A> | <A HREF="http://www.matu.jcbmat.com/id1383.htm" TARGET="_top" TITLE="http://www.matu.jcbmat.com/id1383.htm"><U>Análisis complejo</U></A> |</div> <div> | <A HREF="http://www.algebralineal.jcbmat.com/index.htm" TARGET="_top" TITLE="http://www.algebralineal.jcbmat.com/inde"><U>Álgebra lineal</U></A> | <A HREF="http://www.jcbmat.com/id63.htm" TARGET="_top" TITLE="http://www.jcbmat.com/id63.htm"><U>Administración y economía</U></A> | <A HREF="http://www.geometrianalitica.jcbmat.com/" TARGET="_top" TITLE="http://www.geometrianalitica.jcbmat.com/"><U>Geometría analítica</U></A> |  </div> <bR> <div> | <A HREF="http://calculo21.blogspot.com/" TARGET="_top" TITLE="http://calculo21.blogspot.com/"><U>Blog Cálculo21</U></A> | <A HREF="http://videomate21.blogspot.com/" TARGET="_top" TITLE="http://videomate21.blogspot.com/"><U>Blog Algebra de Baldor</U></A> | <A HREF="http://equat21z.blogspot.com/" TARGET="_top" TITLE="http://equat21z.blogspot.com/"><U>Blog Ecuaciones diferenciales</U></A> | <A HREF="http://bancomate.blogspot.com.co/" TARGET="_top" TITLE="http://bancomate.blogspot.com.co/"><U>Blog Banco de matemáticas</U></A> |</div> <div> | <A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U>Canal de YouTube</U></A> |</div> <bR> </td> <td valign="top" rowspan="2" width=105 BGCOLOR="#FFFFFF" TEXT="#080000"> <div> <A HREF="https://www.youtube.com/user/MatematicaAplicadas" TARGET="_top" TITLE="https://www.youtube.com/user/MatematicaA"><U><B><IMG SRC="76f464580.gif" border=0 width="100" height="600" ALIGN="BOTTOM" HSPACE="0" VSPACE="0"></B></U></A></div> <bR> <bR> </td> </tr><tr> <td valign="top" height=24 BGCOLOR="#003333" TEXT="#F7F7FF"> <div>  <form action="http://www.google.com.co" id="cse-search-box" target="_blank"> <div> <input type="hidden" name="cx" value="partner-pub-6266400581769473:6497222116" /> <input type="hidden" name="ie" value="UTF-8" /> <input type="text" name="q" size="64" /> <input type="submit" name="sa" value="Buscar en MatU" /> </div> </form> <script type="text/javascript" src="http://www.google.com.co/coop/cse/brand?form=cse-search-box&lang=es"></script>  </div> </td> </tr></table></body>