Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-11}{12}\right)+\left(\frac{-13}{5}\right)\\= \frac{11}{12}-\frac{13}{5}\\=\frac{55}{60}-\frac{156}{60}\\=\frac{55-156}{60}\\=\frac{-101}{60}\)
2. \(+\left(\frac{15}{2}\right)-\left(\frac{2}{7}\right)\\= \frac{15}{2}-\frac{2}{7}\\=\frac{105}{14}-\frac{4}{14}\\=\frac{105-4}{14}\\=\frac{101}{14}\)
3. \(-\left(\frac{12}{5}\right)-\left(\frac{-7}{-12}\right)\\= \frac{-12}{5}-\frac{7}{12}\\=\frac{-144}{60}-\frac{35}{60}\\=\frac{-144-35}{60}\\=\frac{-179}{60}\)
4. \(+\left(\frac{-4}{3}\right)-\left(\frac{2}{-5}\right)\\= \frac{-4}{3}+\frac{2}{5}\\=\frac{-20}{15}+\frac{6}{15}\\=\frac{-20+6}{15}\\=\frac{-14}{15}\)
5. \(-\left(\frac{9}{-11}\right)-\left(\frac{11}{-9}\right)\\= \frac{9}{11}+\frac{11}{9}\\=\frac{81}{99}+\frac{121}{99}\\=\frac{81+121}{99}\\=\frac{202}{99}\)
6. \(-\left(\frac{2}{-3}\right)+\left(\frac{-7}{-3}\right)\\= \frac{2}{3}+\frac{7}{3}\\=\frac{2+7}{3}\\=\frac{9}{3}\\=\frac{3}{1}\)
7. \(-\left(\frac{15}{8}\right)+\left(\frac{9}{13}\right)\\= \frac{-15}{8}+\frac{9}{13}\\=\frac{-195}{104}+\frac{72}{104}\\=\frac{-195+72}{104}\\=\frac{-123}{104}\)
8. \(-\left(\frac{-3}{11}\right)+\left(\frac{14}{-3}\right)\\= \frac{3}{11}-\frac{14}{3}\\=\frac{9}{33}-\frac{154}{33}\\=\frac{9-154}{33}\\=\frac{-145}{33}\)
9. \(+\left(\frac{-2}{-3}\right)+\left(\frac{-12}{-11}\right)\\= \frac{2}{3}+\frac{12}{11}\\=\frac{22}{33}+\frac{36}{33}\\=\frac{22+36}{33}\\=\frac{58}{33}\)
10. \(+\left(\frac{3}{2}\right)-\left(\frac{7}{-3}\right)\\= \frac{3}{2}+\frac{7}{3}\\=\frac{9}{6}+\frac{14}{6}\\=\frac{9+14}{6}\\=\frac{23}{6}\)
11. \(-\left(\frac{12}{-13}\right)-\left(\frac{-9}{-10}\right)\\= \frac{12}{13}-\frac{9}{10}\\=\frac{120}{130}-\frac{117}{130}\\=\frac{120-117}{130}\\=\frac{3}{130}\)
12. \(+\left(\frac{-6}{5}\right)+\left(\frac{-14}{3}\right)\\= \frac{-6}{5}-\frac{14}{3}\\=\frac{-18}{15}-\frac{70}{15}\\=\frac{-18-70}{15}\\=\frac{-88}{15}\)