Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{-11}\right)+\left(\frac{2}{-5}\right)\\= \frac{15}{11}-\frac{2}{5}\\=\frac{75}{55}-\frac{22}{55}\\=\frac{75-22}{55}\\=\frac{53}{55}\)
2. \(+\left(\frac{-8}{-7}\right)-\left(\frac{-8}{-5}\right)\\= \frac{8}{7}-\frac{8}{5}\\=\frac{40}{35}-\frac{56}{35}\\=\frac{40-56}{35}\\=\frac{-16}{35}\)
3. \(-\left(\frac{5}{6}\right)+\left(\frac{-9}{10}\right)\\= \frac{-5}{6}-\frac{9}{10}\\=\frac{-25}{30}-\frac{27}{30}\\=\frac{-25-27}{30}\\=\frac{-52}{30}\\=\frac{-26}{15}\)
4. \(-\left(\frac{4}{-9}\right)+\left(\frac{-14}{5}\right)\\= \frac{4}{9}-\frac{14}{5}\\=\frac{20}{45}-\frac{126}{45}\\=\frac{20-126}{45}\\=\frac{-106}{45}\)
5. \(+\left(\frac{11}{-3}\right)+\left(\frac{2}{-9}\right)\\= \frac{-11}{3}-\frac{2}{9}\\=\frac{-33}{9}-\frac{2}{9}\\=\frac{-33-2}{9}\\=\frac{-35}{9}\)
6. \(-\left(\frac{-10}{7}\right)+\left(\frac{6}{7}\right)\\= \frac{10}{7}+\frac{6}{7}\\=\frac{10+6}{7}\\=\frac{16}{7}\)
7. \(-\left(\frac{14}{-5}\right)+\left(\frac{-8}{3}\right)\\= \frac{14}{5}-\frac{8}{3}\\=\frac{42}{15}-\frac{40}{15}\\=\frac{42-40}{15}\\=\frac{2}{15}\)
8. \(-\left(\frac{9}{10}\right)+\left(\frac{-7}{2}\right)\\= \frac{-9}{10}-\frac{7}{2}\\=\frac{-9-7}{10}\\=\frac{-16}{10}\\=\frac{-8}{5}\)
9. \(-\left(\frac{-10}{-11}\right)-\left(\frac{-6}{7}\right)\\= \frac{-10}{11}+\frac{6}{7}\\=\frac{-70}{77}+\frac{66}{77}\\=\frac{-70+66}{77}\\=\frac{-4}{77}\)
10. \(+\left(\frac{4}{3}\right)-\left(\frac{-14}{9}\right)\\= \frac{4}{3}+\frac{14}{9}\\=\frac{12}{9}+\frac{14}{9}\\=\frac{12+14}{9}\\=\frac{26}{9}\)
11. \(-\left(\frac{2}{5}\right)+\left(\frac{4}{9}\right)\\= \frac{-2}{5}+\frac{4}{9}\\=\frac{-18}{45}+\frac{20}{45}\\=\frac{-18+20}{45}\\=\frac{2}{45}\)
12. \(-\left(\frac{10}{-9}\right)-\left(\frac{12}{-13}\right)\\= \frac{10}{9}+\frac{12}{13}\\=\frac{130}{117}+\frac{108}{117}\\=\frac{130+108}{117}\\=\frac{238}{117}\)