From Förberedande kurs i matematik 1

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__NOTOC__ ===Övning 1.2:1=== <div class="ovning"> Skriv på gemensamt bråkstreck {| width="100%" cellspacing="10px" |a) |width="33%" | <math>\displaystyle \frac{7}{4}+\frac{11}{7}</math> |b) |width="33%" | <math>\displaystyle \frac{2}{7}-\frac{1}{5}</math> |c) |width="33%" | <math>\displaystyle \frac{2}{7}-\frac{1}{5}</math> |- |d) || \displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5}</math> |e) || \displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}</math> |} </div>{{#NAVCONTENT:Svar|Svar 1.2:1|Lösning a|Lösning 1.2:1a|Lösning b|Lösning 1.2:1b|Lösning c|Lösning 1.2:1c|Lösning d|Lösning 1.2:1d|Lösning e|Lösning 1.2:1e}} ===Övning 1.2:2=== <div class="ovning"> Bestäm minsta gemensamma nämnare {| width="100%" cellspacing="10px" |a) |width="50%"| <math>\displaystyle \frac{1}{6}+\frac{1}{10}</math> |b) |width="50%"| <math>\displaystyle \frac{1}{4}-\frac{1}{8}</math> |- |c) || <math>\displaystyle \frac{1}{12}-\frac{1}{14}</math> |d) || \displaystyle \frac{2}{45}+\frac{1}{75}</math> |} </div>{{#NAVCONTENT:Svar|Svar 1.2:2|Lösning a|Lösning 1.2:2a|Lösning b|Lösning 1.2:2b|Lösning c|Lösning 1.2:2c|Lösning d|Lösning 1.2:2d}} ===Övning 1.1:3=== <div class="ovning"> Beräkna följande uttryck genom att använda minsta gemensamma nämnare: {| width="100%" cellspacing="10px" |a) |width="50%"| <math>\displaystyle\frac{3}{20}+\frac{7}{50}-\frac{1}{10}</math> |b) |width="50%"| <math>\displaystyle\frac{1}{24}+\frac{1}{40}-\frac{1}{16}</math> |} </div>{{#NAVCONTENT:Svar|Svar 1.2:3|Lösning a|Lösning 1.2:3a|Lösning b|Lösning 1.2:3b}} ===Övning 1.1:4=== <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. {| width="100%" cellspacing="10px" |a) |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}}</math> |b) |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}</math> |c) |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}</math> |} </div>{{#NAVCONTENT:Svar|Svar 1.2:4|Lösning a|Lösning 1.2:4a|Lösning b|Lösning 1.2:4b|Lösning c|Lösning 1.2:4c}} ===Övning 1.1:5=== <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. {| width="100%" cellspacing="10px" |a) |width="33%"| <math>\displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}}</math> |b) |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}}}</math> |c) |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}</math> |} </div>{{#NAVCONTENT:Svar|Svar 1.2:5|Lösning a|Lösning 1.2:5a|Lösning b|Lösning 1.2:5b|Lösning c|Lösning 1.2:5c}} ===Övning 1.1:6=== <div class="ovning"> F&ouml;renkla <math>\ \,\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}}}</math> </div>{{#NAVCONTENT:Svar|Svar 1.2:6|Lösning |Lösning 1.2:6}}

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