Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-3}{14}\right)-\left(\frac{-14}{5}\right)\\= \frac{-3}{14}+\frac{14}{5}\\=\frac{-15}{70}+\frac{196}{70}\\=\frac{-15+196}{70}\\=\frac{181}{70}\)
2. \(-\left(\frac{12}{-5}\right)+\left(\frac{10}{-7}\right)\\= \frac{12}{5}-\frac{10}{7}\\=\frac{84}{35}-\frac{50}{35}\\=\frac{84-50}{35}\\=\frac{34}{35}\)
3. \(-\left(\frac{-2}{11}\right)+\left(\frac{8}{5}\right)\\= \frac{2}{11}+\frac{8}{5}\\=\frac{10}{55}+\frac{88}{55}\\=\frac{10+88}{55}\\=\frac{98}{55}\)
4. \(-\left(\frac{-7}{-10}\right)-\left(\frac{-5}{-9}\right)\\= \frac{-7}{10}-\frac{5}{9}\\=\frac{-63}{90}-\frac{50}{90}\\=\frac{-63-50}{90}\\=\frac{-113}{90}\)
5. \(+\left(\frac{8}{5}\right)-\left(\frac{4}{13}\right)\\= \frac{8}{5}-\frac{4}{13}\\=\frac{104}{65}-\frac{20}{65}\\=\frac{104-20}{65}\\=\frac{84}{65}\)
6. \(+\left(\frac{4}{7}\right)+\left(\frac{13}{-2}\right)\\= \frac{4}{7}-\frac{13}{2}\\=\frac{8}{14}-\frac{91}{14}\\=\frac{8-91}{14}\\=\frac{-83}{14}\)
7. \(+\left(\frac{3}{4}\right)-\left(\frac{9}{8}\right)\\= \frac{3}{4}-\frac{9}{8}\\=\frac{6}{8}-\frac{9}{8}\\=\frac{6-9}{8}\\=\frac{-3}{8}\)
8. \(+\left(\frac{-15}{14}\right)-\left(\frac{7}{-3}\right)\\= \frac{-15}{14}+\frac{7}{3}\\=\frac{-45}{42}+\frac{98}{42}\\=\frac{-45+98}{42}\\=\frac{53}{42}\)
9. \(+\left(\frac{12}{5}\right)-\left(\frac{-2}{-9}\right)\\= \frac{12}{5}-\frac{2}{9}\\=\frac{108}{45}-\frac{10}{45}\\=\frac{108-10}{45}\\=\frac{98}{45}\)
10. \(+\left(\frac{12}{-5}\right)-\left(\frac{15}{13}\right)\\= \frac{-12}{5}-\frac{15}{13}\\=\frac{-156}{65}-\frac{75}{65}\\=\frac{-156-75}{65}\\=\frac{-231}{65}\)
11. \(+\left(\frac{4}{-11}\right)+\left(\frac{13}{-14}\right)\\= \frac{-4}{11}-\frac{13}{14}\\=\frac{-56}{154}-\frac{143}{154}\\=\frac{-56-143}{154}\\=\frac{-199}{154}\)
12. \(-\left(\frac{2}{7}\right)-\left(\frac{-6}{-7}\right)\\= \frac{-2}{7}-\frac{6}{7}\\=\frac{-2-6}{7}\\=\frac{-8}{7}\)