Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{6}{-7}\right)+\left(\frac{-8}{11}\right)\\= \frac{-6}{7}-\frac{8}{11}\\=\frac{-66}{77}-\frac{56}{77}\\=\frac{-66-56}{77}\\=\frac{-122}{77}\)
2. \(-\left(\frac{15}{-11}\right)+\left(\frac{5}{-12}\right)\\= \frac{15}{11}-\frac{5}{12}\\=\frac{180}{132}-\frac{55}{132}\\=\frac{180-55}{132}\\=\frac{125}{132}\)
3. \(+\left(\frac{-14}{13}\right)-\left(\frac{7}{13}\right)\\= \frac{-14}{13}-\frac{7}{13}\\=\frac{-14-7}{13}\\=\frac{-21}{13}\)
4. \(+\left(\frac{6}{-5}\right)+\left(\frac{-11}{-9}\right)\\= \frac{-6}{5}+\frac{11}{9}\\=\frac{-54}{45}+\frac{55}{45}\\=\frac{-54+55}{45}\\=\frac{1}{45}\)
5. \(-\left(\frac{6}{11}\right)-\left(\frac{2}{-13}\right)\\= \frac{-6}{11}+\frac{2}{13}\\=\frac{-78}{143}+\frac{22}{143}\\=\frac{-78+22}{143}\\=\frac{-56}{143}\)
6. \(-\left(\frac{-15}{-11}\right)-\left(\frac{8}{5}\right)\\= \frac{-15}{11}-\frac{8}{5}\\=\frac{-75}{55}-\frac{88}{55}\\=\frac{-75-88}{55}\\=\frac{-163}{55}\)
7. \(-\left(\frac{6}{-11}\right)-\left(\frac{3}{13}\right)\\= \frac{6}{11}-\frac{3}{13}\\=\frac{78}{143}-\frac{33}{143}\\=\frac{78-33}{143}\\=\frac{45}{143}\)
8. \(+\left(\frac{-8}{-13}\right)-\left(\frac{11}{4}\right)\\= \frac{8}{13}-\frac{11}{4}\\=\frac{32}{52}-\frac{143}{52}\\=\frac{32-143}{52}\\=\frac{-111}{52}\)
9. \(-\left(\frac{-7}{2}\right)-\left(\frac{4}{-3}\right)\\= \frac{7}{2}+\frac{4}{3}\\=\frac{21}{6}+\frac{8}{6}\\=\frac{21+8}{6}\\=\frac{29}{6}\)
10. \(+\left(\frac{3}{-10}\right)-\left(\frac{-2}{9}\right)\\= \frac{-3}{10}+\frac{2}{9}\\=\frac{-27}{90}+\frac{20}{90}\\=\frac{-27+20}{90}\\=\frac{-7}{90}\)
11. \(-\left(\frac{11}{-6}\right)+\left(\frac{-3}{-5}\right)\\= \frac{11}{6}+\frac{3}{5}\\=\frac{55}{30}+\frac{18}{30}\\=\frac{55+18}{30}\\=\frac{73}{30}\)
12. \(-\left(\frac{14}{-3}\right)-\left(\frac{3}{14}\right)\\= \frac{14}{3}-\frac{3}{14}\\=\frac{196}{42}-\frac{9}{42}\\=\frac{196-9}{42}\\=\frac{187}{42}\)