Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-6}{-13}\right)-\left(\frac{-11}{12}\right)\\= \frac{6}{13}+\frac{11}{12}\\=\frac{72}{156}+\frac{143}{156}\\=\frac{72+143}{156}\\=\frac{215}{156}\)
2. \(-\left(\frac{10}{3}\right)-\left(\frac{-8}{3}\right)\\= \frac{-10}{3}+\frac{8}{3}\\=\frac{-10+8}{3}\\=\frac{-2}{3}\)
3. \(+\left(\frac{12}{-5}\right)+\left(\frac{-3}{10}\right)\\= \frac{-12}{5}-\frac{3}{10}\\=\frac{-24}{10}-\frac{3}{10}\\=\frac{-24-3}{10}\\=\frac{-27}{10}\)
4. \(-\left(\frac{-7}{11}\right)+\left(\frac{-11}{-10}\right)\\= \frac{7}{11}+\frac{11}{10}\\=\frac{70}{110}+\frac{121}{110}\\=\frac{70+121}{110}\\=\frac{191}{110}\)
5. \(-\left(\frac{13}{8}\right)+\left(\frac{-10}{3}\right)\\= \frac{-13}{8}-\frac{10}{3}\\=\frac{-39}{24}-\frac{80}{24}\\=\frac{-39-80}{24}\\=\frac{-119}{24}\)
6. \(-\left(\frac{6}{-13}\right)-\left(\frac{-12}{5}\right)\\= \frac{6}{13}+\frac{12}{5}\\=\frac{30}{65}+\frac{156}{65}\\=\frac{30+156}{65}\\=\frac{186}{65}\)
7. \(-\left(\frac{-13}{-8}\right)+\left(\frac{-14}{9}\right)\\= \frac{-13}{8}-\frac{14}{9}\\=\frac{-117}{72}-\frac{112}{72}\\=\frac{-117-112}{72}\\=\frac{-229}{72}\)
8. \(+\left(\frac{12}{-11}\right)-\left(\frac{6}{-11}\right)\\= \frac{-12}{11}+\frac{6}{11}\\=\frac{-12+6}{11}\\=\frac{-6}{11}\)
9. \(+\left(\frac{-2}{-11}\right)-\left(\frac{-10}{13}\right)\\= \frac{2}{11}+\frac{10}{13}\\=\frac{26}{143}+\frac{110}{143}\\=\frac{26+110}{143}\\=\frac{136}{143}\)
10. \(-\left(\frac{-2}{-7}\right)-\left(\frac{11}{-14}\right)\\= \frac{-2}{7}+\frac{11}{14}\\=\frac{-4}{14}+\frac{11}{14}\\=\frac{-4+11}{14}\\=\frac{7}{14}\\=\frac{1}{2}\)
11. \(-\left(\frac{12}{-11}\right)-\left(\frac{4}{-7}\right)\\= \frac{12}{11}+\frac{4}{7}\\=\frac{84}{77}+\frac{44}{77}\\=\frac{84+44}{77}\\=\frac{128}{77}\)
12. \(-\left(\frac{6}{5}\right)-\left(\frac{-9}{-13}\right)\\= \frac{-6}{5}-\frac{9}{13}\\=\frac{-78}{65}-\frac{45}{65}\\=\frac{-78-45}{65}\\=\frac{-123}{65}\)