Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(-\left(\frac{-4}{-7}\right)+\left(\frac{3}{2}\right)\)
2. \(+\left(\frac{8}{9}\right)-\left(\frac{2}{11}\right)\)
3. \(+\left(\frac{11}{-10}\right)-\left(\frac{-4}{3}\right)\)
4. \(-\left(\frac{-13}{14}\right)+\left(\frac{9}{10}\right)\)
5. \(+\left(\frac{-11}{6}\right)-\left(\frac{7}{11}\right)\)
6. \(+\left(\frac{3}{-13}\right)-\left(\frac{7}{-8}\right)\)
7. \(-\left(\frac{7}{-11}\right)-\left(\frac{7}{4}\right)\)
8. \(-\left(\frac{-4}{-9}\right)+\left(\frac{3}{2}\right)\)
9. \(-\left(\frac{-4}{-5}\right)-\left(\frac{3}{2}\right)\)
10. \(-\left(\frac{-8}{-9}\right)-\left(\frac{-14}{-13}\right)\)
11. \(-\left(\frac{-5}{-6}\right)+\left(\frac{-9}{11}\right)\)
12. \(-\left(\frac{2}{-9}\right)+\left(\frac{-15}{14}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{-4}{-7}\right)+\left(\frac{3}{2}\right)\\= \frac{-4}{7}+\frac{3}{2}\\=\frac{-8}{14}+\frac{21}{14}\\=\frac{-8+21}{14}\\=\frac{13}{14}\)
2. \(+\left(\frac{8}{9}\right)-\left(\frac{2}{11}\right)\\= \frac{8}{9}-\frac{2}{11}\\=\frac{88}{99}-\frac{18}{99}\\=\frac{88-18}{99}\\=\frac{70}{99}\)
3. \(+\left(\frac{11}{-10}\right)-\left(\frac{-4}{3}\right)\\= \frac{-11}{10}+\frac{4}{3}\\=\frac{-33}{30}+\frac{40}{30}\\=\frac{-33+40}{30}\\=\frac{7}{30}\)
4. \(-\left(\frac{-13}{14}\right)+\left(\frac{9}{10}\right)\\= \frac{13}{14}+\frac{9}{10}\\=\frac{65}{70}+\frac{63}{70}\\=\frac{65+63}{70}\\=\frac{128}{70}\\=\frac{64}{35}\)
5. \(+\left(\frac{-11}{6}\right)-\left(\frac{7}{11}\right)\\= \frac{-11}{6}-\frac{7}{11}\\=\frac{-121}{66}-\frac{42}{66}\\=\frac{-121-42}{66}\\=\frac{-163}{66}\)
6. \(+\left(\frac{3}{-13}\right)-\left(\frac{7}{-8}\right)\\= \frac{-3}{13}+\frac{7}{8}\\=\frac{-24}{104}+\frac{91}{104}\\=\frac{-24+91}{104}\\=\frac{67}{104}\)
7. \(-\left(\frac{7}{-11}\right)-\left(\frac{7}{4}\right)\\= \frac{7}{11}-\frac{7}{4}\\=\frac{28}{44}-\frac{77}{44}\\=\frac{28-77}{44}\\=\frac{-49}{44}\)
8. \(-\left(\frac{-4}{-9}\right)+\left(\frac{3}{2}\right)\\= \frac{-4}{9}+\frac{3}{2}\\=\frac{-8}{18}+\frac{27}{18}\\=\frac{-8+27}{18}\\=\frac{19}{18}\)
9. \(-\left(\frac{-4}{-5}\right)-\left(\frac{3}{2}\right)\\= \frac{-4}{5}-\frac{3}{2}\\=\frac{-8}{10}-\frac{15}{10}\\=\frac{-8-15}{10}\\=\frac{-23}{10}\)
10. \(-\left(\frac{-8}{-9}\right)-\left(\frac{-14}{-13}\right)\\= \frac{-8}{9}-\frac{14}{13}\\=\frac{-104}{117}-\frac{126}{117}\\=\frac{-104-126}{117}\\=\frac{-230}{117}\)
11. \(-\left(\frac{-5}{-6}\right)+\left(\frac{-9}{11}\right)\\= \frac{-5}{6}-\frac{9}{11}\\=\frac{-55}{66}-\frac{54}{66}\\=\frac{-55-54}{66}\\=\frac{-109}{66}\)
12. \(-\left(\frac{2}{-9}\right)+\left(\frac{-15}{14}\right)\\= \frac{2}{9}-\frac{15}{14}\\=\frac{28}{126}-\frac{135}{126}\\=\frac{28-135}{126}\\=\frac{-107}{126}\)