Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-15}{11}\right)+\left(\frac{-3}{-10}\right)\\= \frac{15}{11}+\frac{3}{10}\\=\frac{150}{110}+\frac{33}{110}\\=\frac{150+33}{110}\\=\frac{183}{110}\)
2. \(-\left(\frac{7}{10}\right)-\left(\frac{14}{13}\right)\\= \frac{-7}{10}-\frac{14}{13}\\=\frac{-91}{130}-\frac{140}{130}\\=\frac{-91-140}{130}\\=\frac{-231}{130}\)
3. \(+\left(\frac{6}{-11}\right)+\left(\frac{13}{12}\right)\\= \frac{-6}{11}+\frac{13}{12}\\=\frac{-72}{132}+\frac{143}{132}\\=\frac{-72+143}{132}\\=\frac{71}{132}\)
4. \(+\left(\frac{-10}{-9}\right)+\left(\frac{10}{-11}\right)\\= \frac{10}{9}-\frac{10}{11}\\=\frac{110}{99}-\frac{90}{99}\\=\frac{110-90}{99}\\=\frac{20}{99}\)
5. \(+\left(\frac{15}{2}\right)+\left(\frac{-3}{10}\right)\\= \frac{15}{2}-\frac{3}{10}\\=\frac{75}{10}-\frac{3}{10}\\=\frac{75-3}{10}\\=\frac{72}{10}\\=\frac{36}{5}\)
6. \(-\left(\frac{3}{-13}\right)+\left(\frac{-14}{-13}\right)\\= \frac{3}{13}+\frac{14}{13}\\=\frac{3+14}{13}\\=\frac{17}{13}\)
7. \(-\left(\frac{-4}{-9}\right)+\left(\frac{-11}{-9}\right)\\= \frac{-4}{9}+\frac{11}{9}\\=\frac{-4+11}{9}\\=\frac{7}{9}\)
8. \(-\left(\frac{5}{-8}\right)-\left(\frac{-9}{13}\right)\\= \frac{5}{8}+\frac{9}{13}\\=\frac{65}{104}+\frac{72}{104}\\=\frac{65+72}{104}\\=\frac{137}{104}\)
9. \(-\left(\frac{14}{9}\right)-\left(\frac{13}{8}\right)\\= \frac{-14}{9}-\frac{13}{8}\\=\frac{-112}{72}-\frac{117}{72}\\=\frac{-112-117}{72}\\=\frac{-229}{72}\)
10. \(+\left(\frac{4}{-5}\right)+\left(\frac{4}{-9}\right)\\= \frac{-4}{5}-\frac{4}{9}\\=\frac{-36}{45}-\frac{20}{45}\\=\frac{-36-20}{45}\\=\frac{-56}{45}\)
11. \(+\left(\frac{-13}{4}\right)+\left(\frac{15}{-13}\right)\\= \frac{-13}{4}-\frac{15}{13}\\=\frac{-169}{52}-\frac{60}{52}\\=\frac{-169-60}{52}\\=\frac{-229}{52}\)
12. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-3}{8}\right)\\= \frac{-5}{11}-\frac{3}{8}\\=\frac{-40}{88}-\frac{33}{88}\\=\frac{-40-33}{88}\\=\frac{-73}{88}\)