Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-8}\right)+\left(\frac{11}{-13}\right)\\= \frac{-7}{8}-\frac{11}{13}\\=\frac{-91}{104}-\frac{88}{104}\\=\frac{-91-88}{104}\\=\frac{-179}{104}\)
2. \(-\left(\frac{14}{9}\right)-\left(\frac{-11}{2}\right)\\= \frac{-14}{9}+\frac{11}{2}\\=\frac{-28}{18}+\frac{99}{18}\\=\frac{-28+99}{18}\\=\frac{71}{18}\)
3. \(+\left(\frac{6}{7}\right)+\left(\frac{12}{-11}\right)\\= \frac{6}{7}-\frac{12}{11}\\=\frac{66}{77}-\frac{84}{77}\\=\frac{66-84}{77}\\=\frac{-18}{77}\)
4. \(+\left(\frac{-2}{-5}\right)-\left(\frac{5}{-13}\right)\\= \frac{2}{5}+\frac{5}{13}\\=\frac{26}{65}+\frac{25}{65}\\=\frac{26+25}{65}\\=\frac{51}{65}\)
5. \(-\left(\frac{11}{-13}\right)-\left(\frac{3}{-7}\right)\\= \frac{11}{13}+\frac{3}{7}\\=\frac{77}{91}+\frac{39}{91}\\=\frac{77+39}{91}\\=\frac{116}{91}\)
6. \(+\left(\frac{11}{14}\right)-\left(\frac{-2}{-11}\right)\\= \frac{11}{14}-\frac{2}{11}\\=\frac{121}{154}-\frac{28}{154}\\=\frac{121-28}{154}\\=\frac{93}{154}\)
7. \(-\left(\frac{4}{-11}\right)+\left(\frac{10}{-7}\right)\\= \frac{4}{11}-\frac{10}{7}\\=\frac{28}{77}-\frac{110}{77}\\=\frac{28-110}{77}\\=\frac{-82}{77}\)
8. \(+\left(\frac{-11}{5}\right)+\left(\frac{-4}{-5}\right)\\= \frac{-11}{5}+\frac{4}{5}\\=\frac{-11+4}{5}\\=\frac{-7}{5}\)
9. \(+\left(\frac{5}{13}\right)-\left(\frac{-14}{-9}\right)\\= \frac{5}{13}-\frac{14}{9}\\=\frac{45}{117}-\frac{182}{117}\\=\frac{45-182}{117}\\=\frac{-137}{117}\)
10. \(+\left(\frac{5}{-11}\right)+\left(\frac{-12}{13}\right)\\= \frac{-5}{11}-\frac{12}{13}\\=\frac{-65}{143}-\frac{132}{143}\\=\frac{-65-132}{143}\\=\frac{-197}{143}\)
11. \(+\left(\frac{7}{-6}\right)-\left(\frac{-6}{-13}\right)\\= \frac{-7}{6}-\frac{6}{13}\\=\frac{-91}{78}-\frac{36}{78}\\=\frac{-91-36}{78}\\=\frac{-127}{78}\)
12. \(+\left(\frac{15}{-2}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-15}{2}+\frac{6}{5}\\=\frac{-75}{10}+\frac{12}{10}\\=\frac{-75+12}{10}\\=\frac{-63}{10}\)