Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{11}{-10}\right)+\left(\frac{-2}{-5}\right)\\= \frac{11}{10}+\frac{2}{5}\\=\frac{11+2}{10}\\=\frac{13}{10}\)
2. \(-\left(\frac{6}{5}\right)+\left(\frac{5}{-2}\right)\\= \frac{-6}{5}-\frac{5}{2}\\=\frac{-12}{10}-\frac{25}{10}\\=\frac{-12-25}{10}\\=\frac{-37}{10}\)
3. \(-\left(\frac{-7}{-6}\right)-\left(\frac{13}{12}\right)\\= \frac{-7}{6}-\frac{13}{12}\\=\frac{-14}{12}-\frac{13}{12}\\=\frac{-14-13}{12}\\=\frac{-27}{12}\\=\frac{-9}{4}\)
4. \(+\left(\frac{-6}{-5}\right)-\left(\frac{10}{7}\right)\\= \frac{6}{5}-\frac{10}{7}\\=\frac{42}{35}-\frac{50}{35}\\=\frac{42-50}{35}\\=\frac{-8}{35}\)
5. \(+\left(\frac{15}{11}\right)+\left(\frac{4}{9}\right)\\= \frac{15}{11}+\frac{4}{9}\\=\frac{135}{99}+\frac{44}{99}\\=\frac{135+44}{99}\\=\frac{179}{99}\)
6. \(+\left(\frac{5}{2}\right)-\left(\frac{7}{-9}\right)\\= \frac{5}{2}+\frac{7}{9}\\=\frac{45}{18}+\frac{14}{18}\\=\frac{45+14}{18}\\=\frac{59}{18}\)
7. \(+\left(\frac{6}{-7}\right)+\left(\frac{6}{-5}\right)\\= \frac{-6}{7}-\frac{6}{5}\\=\frac{-30}{35}-\frac{42}{35}\\=\frac{-30-42}{35}\\=\frac{-72}{35}\)
8. \(+\left(\frac{8}{-9}\right)-\left(\frac{7}{3}\right)\\= \frac{-8}{9}-\frac{7}{3}\\=\frac{-8-7}{9}\\=\frac{-15}{9}\\=\frac{-5}{3}\)
9. \(+\left(\frac{-4}{-3}\right)-\left(\frac{10}{-11}\right)\\= \frac{4}{3}+\frac{10}{11}\\=\frac{44}{33}+\frac{30}{33}\\=\frac{44+30}{33}\\=\frac{74}{33}\)
10. \(+\left(\frac{-15}{14}\right)+\left(\frac{-14}{-3}\right)\\= \frac{-15}{14}+\frac{14}{3}\\=\frac{-45}{42}+\frac{196}{42}\\=\frac{-45+196}{42}\\=\frac{151}{42}\)
11. \(+\left(\frac{-8}{11}\right)+\left(\frac{-15}{-11}\right)\\= \frac{-8}{11}+\frac{15}{11}\\=\frac{-8+15}{11}\\=\frac{7}{11}\)
12. \(-\left(\frac{11}{10}\right)+\left(\frac{9}{-2}\right)\\= \frac{-11}{10}-\frac{9}{2}\\=\frac{-11-9}{10}\\=\frac{-20}{10}\\=\frac{-2}{1}\)