1.2 Övningar
Förberedande kurs i matematik 1
(Skillnad mellan versioner)
| Rad 56: | Rad 56: | ||
|width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}</math> | |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}}</math> | ||
|b) | |b) | ||
| - | |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}</math> | + | |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}}</math> |
|c) | |c) | ||
|width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}</math> | |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}</math> | ||
| Rad 70: | Rad 70: | ||
|width="33%"| <math>\displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}}</math> | |width="33%"| <math>\displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}}</math> | ||
|b) | |b) | ||
| - | |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2 | + | |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}}</math> |
|c) | |c) | ||
|width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}</math> | |width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}</math> | ||
Versionen från 20 mars 2008 kl. 11.53
Övning 1.2:1
Skriv på gemensamt bråkstreck
| a) | \displaystyle \displaystyle \frac{7}{4}+\frac{11}{7} | b) | \displaystyle \displaystyle \frac{2}{7}-\frac{1}{5} | c) | \displaystyle \displaystyle \frac{2}{7}-\frac{1}{5} |
| d) | \displaystyle \displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5} | e) | \displaystyle \displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3} |
Svar
Hämtar...
Lösning a
Lösning b
Lösning c
Lösning d
Lösning e
Övning 1.2:2
Bestäm minsta gemensamma nämnare
| a) | \displaystyle \displaystyle \frac{1}{6}+\frac{1}{10} | b) | \displaystyle \displaystyle \frac{1}{4}-\frac{1}{8} |
| c) | \displaystyle \displaystyle \frac{1}{12}-\frac{1}{14} | d) | \displaystyle \displaystyle \frac{2}{45}+\frac{1}{75} |
Svar
Lösning a
Lösning b
Lösning c
Lösning d
Övning 1.1:3
Beräkna följande uttryck genom att använda minsta gemensamma nämnare:
| a) | \displaystyle \displaystyle\frac{3}{20}+\frac{7}{50}-\frac{1}{10} | b) | \displaystyle \displaystyle\frac{1}{24}+\frac{1}{40}-\frac{1}{16} |
Övning 1.1:4
Förenkla följande uttryck genom att skriva på gemensamt bråkstreck. Bråket ska vara färdigförkortat.
| a) | \displaystyle \displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}} | b) | \displaystyle \displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}} | c) | \displaystyle \displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}} |
Övning 1.1:5
Förenkla följande uttryck genom att skriva på gemensamt bråkstreck. Bråket ska vara färdigförkortat.
| a) | \displaystyle \displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}} | b) | \displaystyle \displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}} | c) | \displaystyle \displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}} |
Övning 1.1:6
Förenkla \displaystyle \ \,\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}}}
Svar
Lösning
