Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{-11}\right)-\left(\frac{-15}{-11}\right)\\= \frac{-12}{11}-\frac{15}{11}\\=\frac{-12-15}{11}\\=\frac{-27}{11}\)
2. \(-\left(\frac{3}{8}\right)+\left(\frac{-5}{-6}\right)\\= \frac{-3}{8}+\frac{5}{6}\\=\frac{-9}{24}+\frac{20}{24}\\=\frac{-9+20}{24}\\=\frac{11}{24}\)
3. \(-\left(\frac{-15}{4}\right)-\left(\frac{7}{-5}\right)\\= \frac{15}{4}+\frac{7}{5}\\=\frac{75}{20}+\frac{28}{20}\\=\frac{75+28}{20}\\=\frac{103}{20}\)
4. \(-\left(\frac{-2}{11}\right)+\left(\frac{-14}{-5}\right)\\= \frac{2}{11}+\frac{14}{5}\\=\frac{10}{55}+\frac{154}{55}\\=\frac{10+154}{55}\\=\frac{164}{55}\)
5. \(+\left(\frac{-10}{11}\right)+\left(\frac{-8}{-7}\right)\\= \frac{-10}{11}+\frac{8}{7}\\=\frac{-70}{77}+\frac{88}{77}\\=\frac{-70+88}{77}\\=\frac{18}{77}\)
6. \(+\left(\frac{4}{11}\right)+\left(\frac{-14}{11}\right)\\= \frac{4}{11}-\frac{14}{11}\\=\frac{4-14}{11}\\=\frac{-10}{11}\)
7. \(+\left(\frac{14}{-9}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-14}{9}-\frac{6}{5}\\=\frac{-70}{45}-\frac{54}{45}\\=\frac{-70-54}{45}\\=\frac{-124}{45}\)
8. \(+\left(\frac{7}{-2}\right)+\left(\frac{-2}{9}\right)\\= \frac{-7}{2}-\frac{2}{9}\\=\frac{-63}{18}-\frac{4}{18}\\=\frac{-63-4}{18}\\=\frac{-67}{18}\)
9. \(-\left(\frac{5}{-6}\right)-\left(\frac{-6}{11}\right)\\= \frac{5}{6}+\frac{6}{11}\\=\frac{55}{66}+\frac{36}{66}\\=\frac{55+36}{66}\\=\frac{91}{66}\)
10. \(-\left(\frac{3}{14}\right)+\left(\frac{-7}{11}\right)\\= \frac{-3}{14}-\frac{7}{11}\\=\frac{-33}{154}-\frac{98}{154}\\=\frac{-33-98}{154}\\=\frac{-131}{154}\)
11. \(+\left(\frac{13}{-2}\right)-\left(\frac{-6}{5}\right)\\= \frac{-13}{2}+\frac{6}{5}\\=\frac{-65}{10}+\frac{12}{10}\\=\frac{-65+12}{10}\\=\frac{-53}{10}\)
12. \(+\left(\frac{-5}{-8}\right)+\left(\frac{14}{-9}\right)\\= \frac{5}{8}-\frac{14}{9}\\=\frac{45}{72}-\frac{112}{72}\\=\frac{45-112}{72}\\=\frac{-67}{72}\)