Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{12}{-7}\right)+\left(\frac{4}{-9}\right)\\= \frac{-12}{7}-\frac{4}{9}\\=\frac{-108}{63}-\frac{28}{63}\\=\frac{-108-28}{63}\\=\frac{-136}{63}\)
2. \(+\left(\frac{-11}{12}\right)+\left(\frac{-12}{11}\right)\\= \frac{-11}{12}-\frac{12}{11}\\=\frac{-121}{132}-\frac{144}{132}\\=\frac{-121-144}{132}\\=\frac{-265}{132}\)
3. \(+\left(\frac{-4}{7}\right)+\left(\frac{4}{-5}\right)\\= \frac{-4}{7}-\frac{4}{5}\\=\frac{-20}{35}-\frac{28}{35}\\=\frac{-20-28}{35}\\=\frac{-48}{35}\)
4. \(-\left(\frac{4}{5}\right)-\left(\frac{-9}{-4}\right)\\= \frac{-4}{5}-\frac{9}{4}\\=\frac{-16}{20}-\frac{45}{20}\\=\frac{-16-45}{20}\\=\frac{-61}{20}\)
5. \(+\left(\frac{-11}{2}\right)-\left(\frac{-6}{-7}\right)\\= \frac{-11}{2}-\frac{6}{7}\\=\frac{-77}{14}-\frac{12}{14}\\=\frac{-77-12}{14}\\=\frac{-89}{14}\)
6. \(+\left(\frac{-11}{-6}\right)+\left(\frac{14}{3}\right)\\= \frac{11}{6}+\frac{14}{3}\\=\frac{11+14}{6}\\=\frac{25}{6}\)
7. \(+\left(\frac{-7}{-9}\right)+\left(\frac{9}{-5}\right)\\= \frac{7}{9}-\frac{9}{5}\\=\frac{35}{45}-\frac{81}{45}\\=\frac{35-81}{45}\\=\frac{-46}{45}\)
8. \(+\left(\frac{-6}{-11}\right)+\left(\frac{-4}{9}\right)\\= \frac{6}{11}-\frac{4}{9}\\=\frac{54}{99}-\frac{44}{99}\\=\frac{54-44}{99}\\=\frac{10}{99}\)
9. \(+\left(\frac{-2}{-3}\right)-\left(\frac{11}{-7}\right)\\= \frac{2}{3}+\frac{11}{7}\\=\frac{14}{21}+\frac{33}{21}\\=\frac{14+33}{21}\\=\frac{47}{21}\)
10. \(-\left(\frac{15}{-4}\right)-\left(\frac{7}{-9}\right)\\= \frac{15}{4}+\frac{7}{9}\\=\frac{135}{36}+\frac{28}{36}\\=\frac{135+28}{36}\\=\frac{163}{36}\)
11. \(+\left(\frac{6}{7}\right)+\left(\frac{-12}{13}\right)\\= \frac{6}{7}-\frac{12}{13}\\=\frac{78}{91}-\frac{84}{91}\\=\frac{78-84}{91}\\=\frac{-6}{91}\)
12. \(-\left(\frac{13}{11}\right)-\left(\frac{13}{-2}\right)\\= \frac{-13}{11}+\frac{13}{2}\\=\frac{-26}{22}+\frac{143}{22}\\=\frac{-26+143}{22}\\=\frac{117}{22}\)