Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-9}{11}\right)-\left(\frac{-14}{9}\right)\\= \frac{9}{11}+\frac{14}{9}\\=\frac{81}{99}+\frac{154}{99}\\=\frac{81+154}{99}\\=\frac{235}{99}\)
2. \(+\left(\frac{4}{11}\right)-\left(\frac{-6}{11}\right)\\= \frac{4}{11}+\frac{6}{11}\\=\frac{4+6}{11}\\=\frac{10}{11}\)
3. \(-\left(\frac{-14}{-9}\right)+\left(\frac{9}{8}\right)\\= \frac{-14}{9}+\frac{9}{8}\\=\frac{-112}{72}+\frac{81}{72}\\=\frac{-112+81}{72}\\=\frac{-31}{72}\)
4. \(-\left(\frac{-15}{-8}\right)-\left(\frac{-5}{2}\right)\\= \frac{-15}{8}+\frac{5}{2}\\=\frac{-15+5}{8}\\=\frac{-10}{8}\\=\frac{-5}{4}\)
5. \(+\left(\frac{-14}{3}\right)+\left(\frac{11}{-5}\right)\\= \frac{-14}{3}-\frac{11}{5}\\=\frac{-70}{15}-\frac{33}{15}\\=\frac{-70-33}{15}\\=\frac{-103}{15}\)
6. \(+\left(\frac{11}{-2}\right)+\left(\frac{11}{14}\right)\\= \frac{-11}{2}+\frac{11}{14}\\=\frac{-77}{14}+\frac{11}{14}\\=\frac{-77+11}{14}\\=\frac{-66}{14}\\=\frac{-33}{7}\)
7. \(+\left(\frac{-14}{11}\right)-\left(\frac{11}{10}\right)\\= \frac{-14}{11}-\frac{11}{10}\\=\frac{-140}{110}-\frac{121}{110}\\=\frac{-140-121}{110}\\=\frac{-261}{110}\)
8. \(+\left(\frac{9}{8}\right)-\left(\frac{-4}{11}\right)\\= \frac{9}{8}+\frac{4}{11}\\=\frac{99}{88}+\frac{32}{88}\\=\frac{99+32}{88}\\=\frac{131}{88}\)
9. \(-\left(\frac{-2}{-15}\right)+\left(\frac{11}{-3}\right)\\= \frac{-2}{15}-\frac{11}{3}\\=\frac{-2-11}{15}\\=\frac{-13}{15}\)
10. \(-\left(\frac{-10}{3}\right)-\left(\frac{-12}{5}\right)\\= \frac{10}{3}+\frac{12}{5}\\=\frac{50}{15}+\frac{36}{15}\\=\frac{50+36}{15}\\=\frac{86}{15}\)
11. \(-\left(\frac{-2}{13}\right)+\left(\frac{-7}{-2}\right)\\= \frac{2}{13}+\frac{7}{2}\\=\frac{4}{26}+\frac{91}{26}\\=\frac{4+91}{26}\\=\frac{95}{26}\)
12. \(+\left(\frac{-2}{-9}\right)-\left(\frac{2}{3}\right)\\= \frac{2}{9}-\frac{2}{3}\\=\frac{2-2}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)