Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{-3}\right)-\left(\frac{-8}{5}\right)\\= \frac{14}{3}+\frac{8}{5}\\=\frac{70}{15}+\frac{24}{15}\\=\frac{70+24}{15}\\=\frac{94}{15}\)
2. \(+\left(\frac{-15}{-7}\right)-\left(\frac{12}{5}\right)\\= \frac{15}{7}-\frac{12}{5}\\=\frac{75}{35}-\frac{84}{35}\\=\frac{75-84}{35}\\=\frac{-9}{35}\)
3. \(-\left(\frac{13}{-8}\right)+\left(\frac{-7}{-8}\right)\\= \frac{13}{8}+\frac{7}{8}\\=\frac{13+7}{8}\\=\frac{20}{8}\\=\frac{5}{2}\)
4. \(+\left(\frac{14}{-9}\right)+\left(\frac{-11}{5}\right)\\= \frac{-14}{9}-\frac{11}{5}\\=\frac{-70}{45}-\frac{99}{45}\\=\frac{-70-99}{45}\\=\frac{-169}{45}\)
5. \(-\left(\frac{-12}{11}\right)-\left(\frac{4}{7}\right)\\= \frac{12}{11}-\frac{4}{7}\\=\frac{84}{77}-\frac{44}{77}\\=\frac{84-44}{77}\\=\frac{40}{77}\)
6. \(+\left(\frac{-2}{11}\right)+\left(\frac{-9}{7}\right)\\= \frac{-2}{11}-\frac{9}{7}\\=\frac{-14}{77}-\frac{99}{77}\\=\frac{-14-99}{77}\\=\frac{-113}{77}\)
7. \(-\left(\frac{11}{10}\right)+\left(\frac{-7}{12}\right)\\= \frac{-11}{10}-\frac{7}{12}\\=\frac{-66}{60}-\frac{35}{60}\\=\frac{-66-35}{60}\\=\frac{-101}{60}\)
8. \(+\left(\frac{5}{-2}\right)+\left(\frac{-4}{13}\right)\\= \frac{-5}{2}-\frac{4}{13}\\=\frac{-65}{26}-\frac{8}{26}\\=\frac{-65-8}{26}\\=\frac{-73}{26}\)
9. \(+\left(\frac{2}{7}\right)+\left(\frac{-6}{-7}\right)\\= \frac{2}{7}+\frac{6}{7}\\=\frac{2+6}{7}\\=\frac{8}{7}\)
10. \(+\left(\frac{-15}{2}\right)+\left(\frac{14}{5}\right)\\= \frac{-15}{2}+\frac{14}{5}\\=\frac{-75}{10}+\frac{28}{10}\\=\frac{-75+28}{10}\\=\frac{-47}{10}\)
11. \(+\left(\frac{-15}{-11}\right)+\left(\frac{-5}{11}\right)\\= \frac{15}{11}-\frac{5}{11}\\=\frac{15-5}{11}\\=\frac{10}{11}\)
12. \(+\left(\frac{-11}{-13}\right)-\left(\frac{-11}{-12}\right)\\= \frac{11}{13}-\frac{11}{12}\\=\frac{132}{156}-\frac{143}{156}\\=\frac{132-143}{156}\\=\frac{-11}{156}\)