Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{7}\right)-\left(\frac{5}{-11}\right)\\= \frac{12}{7}+\frac{5}{11}\\=\frac{132}{77}+\frac{35}{77}\\=\frac{132+35}{77}\\=\frac{167}{77}\)
2. \(-\left(\frac{-8}{-11}\right)-\left(\frac{6}{11}\right)\\= \frac{-8}{11}-\frac{6}{11}\\=\frac{-8-6}{11}\\=\frac{-14}{11}\)
3. \(+\left(\frac{9}{10}\right)+\left(\frac{-12}{13}\right)\\= \frac{9}{10}-\frac{12}{13}\\=\frac{117}{130}-\frac{120}{130}\\=\frac{117-120}{130}\\=\frac{-3}{130}\)
4. \(-\left(\frac{-2}{-7}\right)+\left(\frac{-8}{7}\right)\\= \frac{-2}{7}-\frac{8}{7}\\=\frac{-2-8}{7}\\=\frac{-10}{7}\)
5. \(-\left(\frac{5}{-8}\right)+\left(\frac{-9}{-4}\right)\\= \frac{5}{8}+\frac{9}{4}\\=\frac{5+9}{8}\\=\frac{14}{8}\\=\frac{7}{4}\)
6. \(+\left(\frac{-11}{9}\right)+\left(\frac{15}{7}\right)\\= \frac{-11}{9}+\frac{15}{7}\\=\frac{-77}{63}+\frac{135}{63}\\=\frac{-77+135}{63}\\=\frac{58}{63}\)
7. \(+\left(\frac{-5}{-11}\right)-\left(\frac{10}{-7}\right)\\= \frac{5}{11}+\frac{10}{7}\\=\frac{35}{77}+\frac{110}{77}\\=\frac{35+110}{77}\\=\frac{145}{77}\)
8. \(-\left(\frac{-2}{7}\right)-\left(\frac{-15}{11}\right)\\= \frac{2}{7}+\frac{15}{11}\\=\frac{22}{77}+\frac{105}{77}\\=\frac{22+105}{77}\\=\frac{127}{77}\)
9. \(-\left(\frac{12}{11}\right)-\left(\frac{14}{-9}\right)\\= \frac{-12}{11}+\frac{14}{9}\\=\frac{-108}{99}+\frac{154}{99}\\=\frac{-108+154}{99}\\=\frac{46}{99}\)
10. \(+\left(\frac{-7}{-4}\right)-\left(\frac{12}{-13}\right)\\= \frac{7}{4}+\frac{12}{13}\\=\frac{91}{52}+\frac{48}{52}\\=\frac{91+48}{52}\\=\frac{139}{52}\)
11. \(+\left(\frac{11}{-10}\right)-\left(\frac{4}{11}\right)\\= \frac{-11}{10}-\frac{4}{11}\\=\frac{-121}{110}-\frac{40}{110}\\=\frac{-121-40}{110}\\=\frac{-161}{110}\)
12. \(+\left(\frac{2}{-3}\right)+\left(\frac{4}{-9}\right)\\= \frac{-2}{3}-\frac{4}{9}\\=\frac{-6}{9}-\frac{4}{9}\\=\frac{-6-4}{9}\\=\frac{-10}{9}\)