Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-11}{6}\right)-\left(\frac{10}{-9}\right)\\= \frac{-11}{6}+\frac{10}{9}\\=\frac{-33}{18}+\frac{20}{18}\\=\frac{-33+20}{18}\\=\frac{-13}{18}\)
2. \(-\left(\frac{-9}{7}\right)-\left(\frac{-5}{-2}\right)\\= \frac{9}{7}-\frac{5}{2}\\=\frac{18}{14}-\frac{35}{14}\\=\frac{18-35}{14}\\=\frac{-17}{14}\)
3. \(+\left(\frac{15}{-11}\right)-\left(\frac{7}{2}\right)\\= \frac{-15}{11}-\frac{7}{2}\\=\frac{-30}{22}-\frac{77}{22}\\=\frac{-30-77}{22}\\=\frac{-107}{22}\)
4. \(-\left(\frac{-11}{2}\right)-\left(\frac{6}{5}\right)\\= \frac{11}{2}-\frac{6}{5}\\=\frac{55}{10}-\frac{12}{10}\\=\frac{55-12}{10}\\=\frac{43}{10}\)
5. \(-\left(\frac{10}{11}\right)+\left(\frac{-12}{5}\right)\\= \frac{-10}{11}-\frac{12}{5}\\=\frac{-50}{55}-\frac{132}{55}\\=\frac{-50-132}{55}\\=\frac{-182}{55}\)
6. \(-\left(\frac{5}{2}\right)-\left(\frac{2}{3}\right)\\= \frac{-5}{2}-\frac{2}{3}\\=\frac{-15}{6}-\frac{4}{6}\\=\frac{-15-4}{6}\\=\frac{-19}{6}\)
7. \(+\left(\frac{10}{11}\right)-\left(\frac{-7}{-2}\right)\\= \frac{10}{11}-\frac{7}{2}\\=\frac{20}{22}-\frac{77}{22}\\=\frac{20-77}{22}\\=\frac{-57}{22}\)
8. \(-\left(\frac{-12}{11}\right)-\left(\frac{-9}{5}\right)\\= \frac{12}{11}+\frac{9}{5}\\=\frac{60}{55}+\frac{99}{55}\\=\frac{60+99}{55}\\=\frac{159}{55}\)
9. \(+\left(\frac{14}{5}\right)+\left(\frac{14}{-9}\right)\\= \frac{14}{5}-\frac{14}{9}\\=\frac{126}{45}-\frac{70}{45}\\=\frac{126-70}{45}\\=\frac{56}{45}\)
10. \(-\left(\frac{-8}{-11}\right)-\left(\frac{-7}{9}\right)\\= \frac{-8}{11}+\frac{7}{9}\\=\frac{-72}{99}+\frac{77}{99}\\=\frac{-72+77}{99}\\=\frac{5}{99}\)
11. \(-\left(\frac{-11}{3}\right)+\left(\frac{2}{7}\right)\\= \frac{11}{3}+\frac{2}{7}\\=\frac{77}{21}+\frac{6}{21}\\=\frac{77+6}{21}\\=\frac{83}{21}\)
12. \(-\left(\frac{-2}{13}\right)+\left(\frac{-11}{12}\right)\\= \frac{2}{13}-\frac{11}{12}\\=\frac{24}{156}-\frac{143}{156}\\=\frac{24-143}{156}\\=\frac{-119}{156}\)