1.2 Övningar

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Versionen från 28 april 2007 kl. 12.09 (redigera)
Ossiang (Diskussion | bidrag)
(Övning 1.2:4)
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Nuvarande version (26 mars 2008 kl. 09.32) (redigera) (ogör)
KTH.SE:u1rp004j (Diskussion | bidrag)
(Övning 1.2:2)
 
(26 mellanliggande versioner visas inte.)
Rad 4: Rad 4:
<table width="100%" cellspacing="10px"> <table width="100%" cellspacing="10px">
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{a) }$</td>+<td class="ntext">a)</td>
-<td class="ntext"> $\displaystyle \frac{7}{4}+\frac{11}{7}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{7}{4}+\frac{11}{7}$</td>
-<td class="ntext">$\textrm{b) }$</td>+<td class="ntext">b)</td>
-<td class="ntext">$\displaystyle \frac{2}{7}-\frac{1}{5}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{2}{7}-\frac{1}{5}$</td>
-<td class="ntext">$\textrm{c) }$</td>+<td class="ntext">c)</td>
-<td class="ntext">$\displaystyle \frac{1}{6}-\frac{2}{5}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{1}{6}-\frac{2}{5}$</td>
</tr> </tr>
-<tr><td height="5px"/></tr> 
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{d) }$</td>+<td class="ntext">d)</td>
-<td class="ntext">$\displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5}$</td>
-<td class="ntext">$\textrm{e) }$</td>+<td class="ntext">e)</td>
-<td class="ntext">$\displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}$</td>
-<td class="ntext"></td>+
-<td class="ntext"></td>+
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 31: Rad 28:
<table width="100%" cellspacing="10px"> <table width="100%" cellspacing="10px">
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{a) }$</td>+<td class="ntext">a)</td>
-<td class="ntext"> $\displaystyle \frac{93}{28}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{93}{28}$</td>
-<td class="ntext">$\textrm{b) }$</td>+<td class="ntext">b)</td>
-<td class="ntext">$\displaystyle \frac{3}{35}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{3}{35}$</td>
-<td class="ntext">$\textrm{c) }$</td>+<td class="ntext">c)</td>
-<td class="ntext">$\displaystyle -\frac{7}{30}$</td>+<td class="ntext" width="33%">$\displaystyle -\frac{7}{30}$</td>
</tr> </tr>
-<tr><td height="5px"/></tr> 
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{d) }$</td>+<td class="ntext">d)</td>
-<td class="ntext">$\displaystyle \frac{47}{60}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{47}{60}$</td>
-<td class="ntext">$\textrm{e) }$</td>+<td class="ntext">e)</td>
-<td class="ntext">$\displaystyle \frac{47}{84}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{47}{84}$</td>
-<td class="ntext"></td>+
-<td class="ntext"></td>+
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 53: Rad 47:
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning a&nbsp;</div>+<div class=NavHead>L&ouml;sning a)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga a <br\>[[Bild:1_2_1a.gif]]+Lösning till delfråga a)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_1a.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning b&nbsp;</div>+<div class=NavHead>L&ouml;sning b)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga b <br\>[[Bild:1_2_1b.gif]]+Lösning till delfråga b)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_1b.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning c&nbsp;</div>+<div class=NavHead>L&ouml;sning c)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga c <br\>[[Bild:1_2_1c.gif]]+Lösning till delfråga c)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_1c.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning d&nbsp;</div>+<div class=NavHead>L&ouml;sning d)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga d <br\>[[Bild:1_2_1d.gif]]+Lösning till delfråga d)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_1d.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning e&nbsp;</div>+<div class=NavHead>L&ouml;sning e)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga e <br\>[[Bild:1_2_1e.gif]]+Lösning till delfråga e)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_1e.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
Rad 92: Rad 121:
<table width="100%" cellspacing="10px"> <table width="100%" cellspacing="10px">
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{a) }$</td>+<td class="ntext">a)</td>
-<td class="ntext"> $\displaystyle \frac{1}{6}+\frac{1}{10}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{1}{6}+\frac{1}{10}$</td>
-<td class="ntext">$\textrm{b) }$</td>+<td class="ntext">b)</td>
-<td class="ntext">$\displaystyle \frac{1}{4}-\frac{1}{8}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{1}{4}-\frac{1}{8}$</td>
</tr> </tr>
-<tr><td height="5px"/></tr> 
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{c) }$</td>+<td class="ntext">c)</td>
-<td class="ntext">$\displaystyle \frac{1}{12}-\frac{2}{14}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{1}{12}-\frac{1}{14}$</td>
-<td class="ntext">$\textrm{d) }$</td>+<td class="ntext">d)</td>
-<td class="ntext">$\displaystyle \frac{2}{45}+\frac{1}{75}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{2}{45}+\frac{1}{75}$</td>
-<td class="ntext"></td>+
-<td class="ntext"></td>+
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 113: Rad 139:
<div class=NavHead>Facit&nbsp;</div> <div class=NavHead>Facit&nbsp;</div>
<div class=NavContent> <div class=NavContent>
- +Facit till alla delfrågor
-Facit till alla delfrågorna+
<table width="100%" cellspacing="10px"> <table width="100%" cellspacing="10px">
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{a) }$</td>+<td class="ntext">a)</td>
-<td class="ntext"> $\displaystyle {30}$</td>+<td class="ntext" width="50%">$\displaystyle {30}$</td>
-<td class="ntext">$\textrm{b) }$</td>+<td class="ntext">b)</td>
-<td class="ntext">$\displaystyle {8}$</td>+<td class="ntext" width="50%">$\displaystyle {8}$</td>
</tr> </tr>
-<tr><td height="5px"/></tr> 
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{c) }$</td>+<td class="ntext">c)</td>
-<td class="ntext">$\displaystyle {84}$</td>+<td class="ntext" width="50%">$\displaystyle {84}$</td>
-<td class="ntext">$\textrm{d) }$</td>+<td class="ntext">d)</td>
-<td class="ntext">$\displaystyle {225}$</td>+<td class="ntext" width="50%">$\displaystyle {225}$</td>
-<td class="ntext"></td>+
-<td class="ntext"></td>+
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 137: Rad 159:
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning a&nbsp;</div>+<div class=NavHead>L&ouml;sning a)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga a <br\>[[Bild:1_2_2a.gif]]+Lösning till delfråga a)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_2a.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning b&nbsp;</div>+<div class=NavHead>L&ouml;sning b)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga b <br\>[[Bild:1_2_2b.gif]]+Lösning till delfråga b)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_2b.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning c&nbsp;</div>+<div class=NavHead>L&ouml;sning c)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga c <br\>[[Bild:1_2_2c.gif]]+Lösning till delfråga c)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_2c.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning d&nbsp;</div>+<div class=NavHead>L&ouml;sning d)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga d <br\>[[Bild:1_2_2d.gif]]+Lösning till delfråga d)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_2d.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
- 
- 
==Övning 1.2:3== ==Övning 1.2:3==
Rad 170: Rad 218:
Beräkna följande uttryck genom att använda minsta gemensamma nämnare: Beräkna följande uttryck genom att använda minsta gemensamma nämnare:
<table width="100%" cellspacing="10px"> <table width="100%" cellspacing="10px">
-<tr><td height="5px"/></tr> 
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{a)}$</td>+<td class="ntext">a)</td>
-<td class="ntext">$\displaystyle \frac{3}{20}+\frac{7}{50}-\frac{1}{10}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{3}{20}+\frac{7}{50}-\frac{1}{10}$</td>
-<td class="ntext">$\textrm{b)}$</td>+<td class="ntext">b)</td>
-<td class="ntext">$\displaystyle \frac{1}{24}+\frac{1}{40}-\frac{1}{16}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{1}{24}+\frac{1}{40}-\frac{1}{16}$</td>
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 185: Rad 232:
<div class=NavContent> <div class=NavContent>
-Facit till alla delfrågorna+Facit till alla delfrågor
<table width="100%" cellspacing="10px"> <table width="100%" cellspacing="10px">
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
<tr align="left"> <tr align="left">
-<td class="ntext">$\textrm{a)}$</td>+<td class="ntext">a)</td>
-<td class="ntext">$\displaystyle \frac{19}{100}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{19}{100}$</td>
-<td class="ntext">$\textrm{b)}$</td>+<td class="ntext">b)</td>
-<td class="ntext">$\displaystyle \frac{1}{240}$</td>+<td class="ntext" width="50%">$\displaystyle \frac{1}{240}$</td>
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 202: Rad 249:
<div class=NavHead>L&ouml;sning a&nbsp;</div> <div class=NavHead>L&ouml;sning a&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga a <br\>[[Bild:1_2_3a.gif]]+Lösning till delfråga a)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_3a.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning b&nbsp;</div>+<div class=NavHead>L&ouml;sning b)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga b <br\>[[Bild:1_2_3b.gif]]+Lösning till delfråga b)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_3b.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
Rad 215: Rad 276:
==Övning 1.2:4== ==Övning 1.2:4==
<div class="ovning"> <div class="ovning">
-<table width="100%" cellspacing="5px">+F&ouml;renkla f&ouml;ljande uttryck genom att skriva p&aring; gemensamt br&aring;kstreck. Br&aring;ket ska vara f&auml;rdigf&ouml;rkortat.
 +<table width="100%" cellspacing="10px">
 +<tr align="left">
 +<td class="ntext">a)</td>
 +<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}$</td>
 +<td class="ntext">b)</td>
 +<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}$</td>
 +<td class="ntext">c)</td>
 +<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}$</td>
 +</tr><tr><td height="5px"/></tr>
 +</table>
 +</div>
 + 
 +<div class=NavFrame style="CLEAR: both">
 +<div class=NavHead>Facit&nbsp;</div>
 +<div class=NavContent>
 +Facit till alla delfrågor<br\>
 +<table width="100%" cellspacing="10px">
 +<tr align="left">
 +<td class="ntext">a)</td>
 +<td class="ntext" width="33%">$\displaystyle \frac{6}{7}$</td>
 +<td class="ntext">b)</td>
 +<td class="ntext" width="33%">$\displaystyle \frac{16}{21}$</td>
 +<td class="ntext">c)</td>
 +<td class="ntext" width="33%">$\displaystyle \frac{1}{6}$</td>
 +</tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
 +</table>
 +</div>
 +</div>
 +
 +<div class=NavFrame style="CLEAR: both">
 +<div class=NavHead>L&ouml;sning a)&nbsp;</div>
 +<div class=NavContent>
 +Lösning till delfråga a)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_4a.gif]]
 +</td>
 +</tr>
 +</table>
 +</div>
 +</div>
 +
 +<div class=NavFrame style="CLEAR: both">
 +<div class=NavHead>L&ouml;sning b)&nbsp;</div>
 +<div class=NavContent>
 +Lösning till delfråga b)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_4b.gif]]
 +</td>
 +</tr>
 +</table>
 +</div>
 +</div>
 +
 +<div class=NavFrame style="CLEAR: both">
 +<div class=NavHead>L&ouml;sning c)&nbsp;</div>
 +<div class=NavContent>
 +Lösning till delfråga c)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_4c-1(2).gif]]
 +</td>
 +</tr>
 +<tr align="center">
 +<td>
 +[[Bild:1_2_4c-2(2).gif]]
 +</td>
 +</tr>
 +</table>
 +</div>
 +</div>
 +
 +==&Ouml;vning 1.2:5==
 +<div class="ovning">
 +F&ouml;renkla f&ouml;ljande uttryck genom att skriva p&aring; gemensamt br&aring;kstreck. Br&aring;ket ska vara f&auml;rdigf&ouml;rkortat.
 +<table width="100%" cellspacing="10px">
<tr align="left"> <tr align="left">
<td class="ntext">a)</td> <td class="ntext">a)</td>
-<td class="ntext">$\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}}$</td>
<td class="ntext">b)</td> <td class="ntext">b)</td>
-<td class="ntext">$\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}$</td>+<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}}$</td>
<td class="ntext">c)</td> <td class="ntext">c)</td>
-<td class="ntext">$\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}$</td>+<td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}$</td>
</tr> </tr>
 +<tr><td height="5px"/></tr>
</table> </table>
</div> </div>
 +
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
<div class=NavHead>Facit&nbsp;</div> <div class=NavHead>Facit&nbsp;</div>
<div class=NavContent> <div class=NavContent>
- +Facit till alla delfrågor
-Facit till alla delfrågorna<br\>+<table width="100%" cellspacing="10px">
-<table width="100%" cellspacing="5px">+
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
<tr align="left"> <tr align="left">
<td class="ntext">a)</td> <td class="ntext">a)</td>
-<td class="ntext">$\displaystyle \frac{6}{7}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{105}{4}$</td>
<td class="ntext">b)</td> <td class="ntext">b)</td>
-<td class="ntext">$\displaystyle \frac{16}{21}$</td>+<td class="ntext" width="33%">$-5$</td>
<td class="ntext">c)</td> <td class="ntext">c)</td>
-<td class="ntext">$\displaystyle \frac{1}{6}$</td>+<td class="ntext" width="33%">$\displaystyle \frac{8}{55}$</td>
</tr> </tr>
<tr><td height="5px"/></tr> <tr><td height="5px"/></tr>
Rad 249: Rad 391:
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning a&nbsp;</div>+<div class=NavHead>L&ouml;sning a)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga a <br\>[[Bild:1_2_4a.gif]]+Lösning till delfråga a)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_5a.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning b&nbsp;</div>+<div class=NavHead>L&ouml;sning b)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga b <br\>[[Bild:1_2_4b.gif]]+Lösning till delfråga b)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_5b.gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>
<div class=NavFrame style="CLEAR: both"> <div class=NavFrame style="CLEAR: both">
-<div class=NavHead>L&ouml;sning c&nbsp;</div>+<div class=NavHead>L&ouml;sning c)&nbsp;</div>
<div class=NavContent> <div class=NavContent>
-Lösning till delfråga c <br\>[[Bild:1_2_4c-1(2).gif]]<br\>[[Bild:1_2_4c-2(2).gif]]+Lösning till delfråga c)
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_5c-1(2).gif]]
 +</td>
 +</tr>
 +<tr>
 +<td>
 +[[Bild:1_2_5c-2(2).gif]]
 +</td>
 +</tr>
 +</table>
 +</div>
 +</div>
 + 
 +==Övning 1.2:6==
 + 
 +<div class="ovning">
 +F&ouml;renkla $\ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}$
 +</div>
 + 
 +<div class=NavFrame style="CLEAR: both">
 +<div class=NavHead>Facit&nbsp;</div>
 +<div class=NavContent>
 +<table align="center" width="100%"><tr><td class="ntext" align="center">$\displaystyle \frac{152}{35}$</td></tr></table>
 +</div>
 +</div>
 + 
 +<div class=NavFrame style="CLEAR: both">
 +<div class=NavHead>L&ouml;sning &nbsp;</div>
 +<div class=NavContent>
 +<table width="100%" cellspacing="10px">
 +<tr>
 +<td align="center">
 +[[Bild:1_2_6-1(2).gif]]
 +</td>
 +</tr>
 +<tr>
 +<td align="center">
 +[[Bild:1_2_6-2(2).gif]]
 +</td>
 +</tr>
 +</table>
</div> </div>
</div> </div>

Nuvarande version

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[redigera] Övning 1.2:1

Skriv på gemensamt bråkstreck

a) $\displaystyle \frac{7}{4}+\frac{11}{7}$ b) $\displaystyle \frac{2}{7}-\frac{1}{5}$ c) $\displaystyle \frac{1}{6}-\frac{2}{5}$
d) $\displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5}$ e) $\displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}$

[redigera] Övning 1.2:2

Bestäm minsta gemensamma nämnare

a) $\displaystyle \frac{1}{6}+\frac{1}{10}$ b) $\displaystyle \frac{1}{4}-\frac{1}{8}$
c) $\displaystyle \frac{1}{12}-\frac{1}{14}$ d) $\displaystyle \frac{2}{45}+\frac{1}{75}$

[redigera] Övning 1.2:3

Beräkna följande uttryck genom att använda minsta gemensamma nämnare:

a) $\displaystyle \frac{3}{20}+\frac{7}{50}-\frac{1}{10}$ b) $\displaystyle \frac{1}{24}+\frac{1}{40}-\frac{1}{16}$

[redigera] Övning 1.2:4

Förenkla följande uttryck genom att skriva på gemensamt bråkstreck. Bråket ska vara färdigförkortat.

a) $\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}$ b) $\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}$ c) $\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}$

[redigera] Övning 1.2:5

Förenkla följande uttryck genom att skriva på gemensamt bråkstreck. Bråket ska vara färdigförkortat.

a) $\displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}}$ b) $\displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}}$ c) $\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}$


[redigera] Övning 1.2:6

Förenkla $\ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}$

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