Övningar 1.2
Sommarmatte 1
(Skillnad mellan versioner)
| Versionen från 16 juli 2007 kl. 08.01 (redigera) KTH.SE:u1zpa8nw (Diskussion | bidrag) (Ny sida: __NOTOC__ ==Övning 1.2:1== <div class="ovning"> Skriv på gemensamt bråkstreck <table width="100%" cellspacing="10px"> <tr align="left"> <td class="ntext">a)</td> <td class="nt...) ← Gå till föregående ändring |
Nuvarande version (17 juli 2007 kl. 10.53) (redigera) (ogör) KTH.SE:u1zpa8nw (Diskussion | bidrag) |
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| (11 mellanliggande versioner visas inte.) | |||
| Rad 1: | Rad 1: | ||
| __NOTOC__ | __NOTOC__ | ||
| - | ==Övning 1.2:1== | + | '''Övning 1.2:1''' |
| - | <div class="ovning"> | + | <div class="ovning" style="margin-top:-25px; margin-bottom:-10px;"> |
| Skriv på gemensamt bråkstreck | Skriv på gemensamt bråkstreck | ||
| - | <table width="100%" cellspacing="10px"> | + | <table width="100%"> |
| <tr align="left"> | <tr align="left"> | ||
| - | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">$\displaystyle \frac{7}{4}+\frac{11}{7}$</td> | <td class="ntext" width="33%">$\displaystyle \frac{7}{4}+\frac{11}{7}$</td> | ||
| - | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="33%">$\displaystyle \frac{2}{7}-\frac{1}{5}$</td> | <td class="ntext" width="33%">$\displaystyle \frac{2}{7}-\frac{1}{5}$</td> | ||
| - | <td class="ntext">c)</td> | + | <td class="ntext">c) </td> |
| <td class="ntext" width="33%">$\displaystyle \frac{1}{6}-\frac{2}{5}$</td> | <td class="ntext" width="33%">$\displaystyle \frac{1}{6}-\frac{2}{5}$</td> | ||
| </tr> | </tr> | ||
| <tr align="left"> | <tr align="left"> | ||
| - | <td class="ntext">d)</td> | + | <td class="ntext">d) </td> |
| <td class="ntext" width="33%">$\displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5}$</td> | <td class="ntext" width="33%">$\displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5}$</td> | ||
| - | <td class="ntext">e)</td> | + | <td class="ntext">e) </td> |
| <td class="ntext" width="33%">$\displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}$</td> | <td class="ntext" width="33%">$\displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}$</td> | ||
| </tr> | </tr> | ||
| Rad 22: | Rad 22: | ||
| </div> | </div> | ||
| - | + | '''Övning 1.2:2''' | |
| - | ==Övning 1.2:2== | + | <div class="ovning" style="margin-top:-25px; margin-bottom:-10px;"> |
| - | <div class="ovning"> | + | |
| Bestäm minsta gemensamma nämnare | Bestäm minsta gemensamma nämnare | ||
| - | <table width="100%" cellspacing="10px"> | + | <table width="100%"> |
| - | <tr align="left"> | + | |
| - | <td class="ntext">a)</td> | + | |
| - | <td class="ntext" width="50%">$\displaystyle \frac{1}{6}+\frac{1}{10}$</td> | + | |
| - | <td class="ntext">b)</td> | + | |
| - | <td class="ntext" width="50%">$\displaystyle \frac{1}{4}-\frac{1}{8}$</td> | + | |
| - | </tr> | + | |
| <tr align="left"> | <tr align="left"> | ||
| - | <td class="ntext">c)</td> | + | <td class="ntext">a) </td> |
| - | <td class="ntext" width="50%">$\displaystyle \frac{1}{12}-\frac{1}{14}$</td> | + | <td class="ntext" width="25%">$\displaystyle \frac{1}{6}+\frac{1}{10}$</td> |
| - | <td class="ntext">d)</td> | + | <td class="ntext">b) </td> |
| - | <td class="ntext" width="50%">$\displaystyle \frac{2}{45}+\frac{1}{75}$</td> | + | <td class="ntext" width="25%">$\displaystyle \frac{1}{4}-\frac{1}{8}$</td> |
| + | <td class="ntext">c) </td> | ||
| + | <td class="ntext" width="25%">$\displaystyle \frac{1}{12}-\frac{1}{14}$</td> | ||
| + | <td class="ntext">d) </td> | ||
| + | <td class="ntext" width="25%">$\displaystyle \frac{2}{45}+\frac{1}{75}$</td> | ||
| </tr> | </tr> | ||
| <tr><td height="5px"/></tr> | <tr><td height="5px"/></tr> | ||
| Rad 43: | Rad 40: | ||
| </div> | </div> | ||
| - | ==Övning 1.2:3== | + | '''Övning 1.2:3''' |
| - | <div class="ovning"> | + | <div class="ovning" style="margin-top:-25px; margin-bottom:-10px;"> |
| 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%"> |
| <tr align="left"> | <tr align="left"> | ||
| - | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="50%">$\displaystyle \frac{3}{20}+\frac{7}{50}-\frac{1}{10}$</td> | <td class="ntext" width="50%">$\displaystyle \frac{3}{20}+\frac{7}{50}-\frac{1}{10}$</td> | ||
| - | <td class="ntext">b)</td> | + | <td class="ntext">b) </td> |
| <td class="ntext" width="50%">$\displaystyle \frac{1}{24}+\frac{1}{40}-\frac{1}{16}$</td> | <td class="ntext" width="50%">$\displaystyle \frac{1}{24}+\frac{1}{40}-\frac{1}{16}$</td> | ||
| </tr> | </tr> | ||
| Rad 57: | Rad 54: | ||
| </div> | </div> | ||
| - | ==Övning 1.2:4== | + | '''Övning 1.2:4''' |
| - | <div class="ovning"> | + | <div class="ovning" style="margin-top:-25px; margin-bottom:-10px;"> |
| - | Förenkla följande uttryck genom att skriva på gemensamt bråkstreck. Bråket ska vara färdigförkortat. | + | Förenkla följande uttryck så långt som möjligt. |
| - | <table width="100%" cellspacing="10px"> | + | <table width="100%"> |
| <tr align="left"> | <tr align="left"> | ||
| - | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}$</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">b) </td> |
| <td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}$</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">c) </td> |
| <td class="ntext" width="33%">$\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}$</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> | </tr><tr><td height="5px"/></tr> | ||
| Rad 72: | Rad 69: | ||
| </div> | </div> | ||
| - | ==Övning 1.2:5== | + | '''Övning 1.2:5''' |
| - | <div class="ovning"> | + | <div class="ovning" style="margin-top:-25px; margin-bottom:-10px;"> |
| - | Förenkla följande uttryck genom att skriva på gemensamt bråkstreck. Bråket ska vara färdigförkortat. | + | Förenkla följande uttryck så långt som möjligt. |
| - | <table width="100%" cellspacing="10px"> | + | <table width="100%"> |
| <tr align="left"> | <tr align="left"> | ||
| - | <td class="ntext">a)</td> | + | <td class="ntext">a) </td> |
| <td class="ntext" width="33%">$\displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}}$</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" width="33%">$\displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}}$</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" width="33%">$\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}$</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> | ||
| Rad 88: | Rad 85: | ||
| </div> | </div> | ||
| - | ==Övning 1.2:6== | + | '''Övning 1.2:6''' |
| - | <div class="ovning"> | + | <div class="ovning" style="margin-top:-25px; margin-bottom:-10px;"> |
| - | Förenkla $\ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}$ | + | Förenkla $\ \quad\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}$ |
| </div> | </div> | ||
| + | |||
| + | <br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> | ||
| + | <br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br><br> | ||
Nuvarande version
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) | $\displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}$ | ||
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) | $\displaystyle \frac{2}{45}+\frac{1}{75}$ |
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) | $\displaystyle \frac{1}{24}+\frac{1}{40}-\frac{1}{16}$ |
Övning 1.2:4
Förenkla följande uttryck så långt som möjligt.
| a) | $\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}$ | b) | $\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}$ | c) | $\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}$ |
Övning 1.2:5
Förenkla följande uttryck så långt som möjligt.
| 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) | $\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}$ |
Övning 1.2:6
Förenkla $\ \quad\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}$
