Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{15}{-7}\right)-\left(\frac{-12}{11}\right)\\= \frac{-15}{7}+\frac{12}{11}\\=\frac{-165}{77}+\frac{84}{77}\\=\frac{-165+84}{77}\\=\frac{-81}{77}\)
2. \(+\left(\frac{4}{-9}\right)-\left(\frac{6}{5}\right)\\= \frac{-4}{9}-\frac{6}{5}\\=\frac{-20}{45}-\frac{54}{45}\\=\frac{-20-54}{45}\\=\frac{-74}{45}\)
3. \(-\left(\frac{-11}{-4}\right)-\left(\frac{5}{-8}\right)\\= \frac{-11}{4}+\frac{5}{8}\\=\frac{-22}{8}+\frac{5}{8}\\=\frac{-22+5}{8}\\=\frac{-17}{8}\)
4. \(-\left(\frac{15}{-13}\right)-\left(\frac{4}{-15}\right)\\= \frac{15}{13}+\frac{4}{15}\\=\frac{225}{195}+\frac{52}{195}\\=\frac{225+52}{195}\\=\frac{277}{195}\)
5. \(+\left(\frac{9}{2}\right)-\left(\frac{-11}{-4}\right)\\= \frac{9}{2}-\frac{11}{4}\\=\frac{18}{4}-\frac{11}{4}\\=\frac{18-11}{4}\\=\frac{7}{4}\)
6. \(+\left(\frac{10}{-7}\right)-\left(\frac{-15}{-11}\right)\\= \frac{-10}{7}-\frac{15}{11}\\=\frac{-110}{77}-\frac{105}{77}\\=\frac{-110-105}{77}\\=\frac{-215}{77}\)
7. \(-\left(\frac{-7}{-3}\right)-\left(\frac{5}{6}\right)\\= \frac{-7}{3}-\frac{5}{6}\\=\frac{-14}{6}-\frac{5}{6}\\=\frac{-14-5}{6}\\=\frac{-19}{6}\)
8. \(+\left(\frac{14}{3}\right)+\left(\frac{7}{11}\right)\\= \frac{14}{3}+\frac{7}{11}\\=\frac{154}{33}+\frac{21}{33}\\=\frac{154+21}{33}\\=\frac{175}{33}\)
9. \(+\left(\frac{4}{-11}\right)+\left(\frac{9}{-4}\right)\\= \frac{-4}{11}-\frac{9}{4}\\=\frac{-16}{44}-\frac{99}{44}\\=\frac{-16-99}{44}\\=\frac{-115}{44}\)
10. \(+\left(\frac{13}{-3}\right)+\left(\frac{5}{14}\right)\\= \frac{-13}{3}+\frac{5}{14}\\=\frac{-182}{42}+\frac{15}{42}\\=\frac{-182+15}{42}\\=\frac{-167}{42}\)
11. \(-\left(\frac{2}{13}\right)-\left(\frac{-5}{8}\right)\\= \frac{-2}{13}+\frac{5}{8}\\=\frac{-16}{104}+\frac{65}{104}\\=\frac{-16+65}{104}\\=\frac{49}{104}\)
12. \(-\left(\frac{-5}{2}\right)+\left(\frac{4}{3}\right)\\= \frac{5}{2}+\frac{4}{3}\\=\frac{15}{6}+\frac{8}{6}\\=\frac{15+8}{6}\\=\frac{23}{6}\)