Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{12}\right)+\left(\frac{4}{-5}\right)\\= \frac{11}{12}-\frac{4}{5}\\=\frac{55}{60}-\frac{48}{60}\\=\frac{55-48}{60}\\=\frac{7}{60}\)
2. \(-\left(\frac{6}{11}\right)+\left(\frac{-11}{-12}\right)\\= \frac{-6}{11}+\frac{11}{12}\\=\frac{-72}{132}+\frac{121}{132}\\=\frac{-72+121}{132}\\=\frac{49}{132}\)
3. \(+\left(\frac{-10}{-3}\right)+\left(\frac{-7}{13}\right)\\= \frac{10}{3}-\frac{7}{13}\\=\frac{130}{39}-\frac{21}{39}\\=\frac{130-21}{39}\\=\frac{109}{39}\)
4. \(+\left(\frac{-13}{-2}\right)-\left(\frac{2}{-3}\right)\\= \frac{13}{2}+\frac{2}{3}\\=\frac{39}{6}+\frac{4}{6}\\=\frac{39+4}{6}\\=\frac{43}{6}\)
5. \(-\left(\frac{7}{13}\right)+\left(\frac{-15}{2}\right)\\= \frac{-7}{13}-\frac{15}{2}\\=\frac{-14}{26}-\frac{195}{26}\\=\frac{-14-195}{26}\\=\frac{-209}{26}\)
6. \(+\left(\frac{-14}{-5}\right)+\left(\frac{-5}{11}\right)\\= \frac{14}{5}-\frac{5}{11}\\=\frac{154}{55}-\frac{25}{55}\\=\frac{154-25}{55}\\=\frac{129}{55}\)
7. \(-\left(\frac{12}{11}\right)-\left(\frac{-6}{5}\right)\\= \frac{-12}{11}+\frac{6}{5}\\=\frac{-60}{55}+\frac{66}{55}\\=\frac{-60+66}{55}\\=\frac{6}{55}\)
8. \(-\left(\frac{2}{11}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-2}{11}-\frac{6}{5}\\=\frac{-10}{55}-\frac{66}{55}\\=\frac{-10-66}{55}\\=\frac{-76}{55}\)
9. \(-\left(\frac{-3}{8}\right)-\left(\frac{-13}{-9}\right)\\= \frac{3}{8}-\frac{13}{9}\\=\frac{27}{72}-\frac{104}{72}\\=\frac{27-104}{72}\\=\frac{-77}{72}\)
10. \(-\left(\frac{8}{9}\right)+\left(\frac{6}{5}\right)\\= \frac{-8}{9}+\frac{6}{5}\\=\frac{-40}{45}+\frac{54}{45}\\=\frac{-40+54}{45}\\=\frac{14}{45}\)
11. \(-\left(\frac{-12}{5}\right)+\left(\frac{-10}{13}\right)\\= \frac{12}{5}-\frac{10}{13}\\=\frac{156}{65}-\frac{50}{65}\\=\frac{156-50}{65}\\=\frac{106}{65}\)
12. \(+\left(\frac{-4}{3}\right)+\left(\frac{14}{9}\right)\\= \frac{-4}{3}+\frac{14}{9}\\=\frac{-12}{9}+\frac{14}{9}\\=\frac{-12+14}{9}\\=\frac{2}{9}\)