Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{11}\right)-\left(\frac{-7}{2}\right)\\= \frac{-4}{11}+\frac{7}{2}\\=\frac{-8}{22}+\frac{77}{22}\\=\frac{-8+77}{22}\\=\frac{69}{22}\)
2. \(-\left(\frac{15}{-2}\right)-\left(\frac{12}{-5}\right)\\= \frac{15}{2}+\frac{12}{5}\\=\frac{75}{10}+\frac{24}{10}\\=\frac{75+24}{10}\\=\frac{99}{10}\)
3. \(+\left(\frac{-13}{-12}\right)+\left(\frac{2}{3}\right)\\= \frac{13}{12}+\frac{2}{3}\\=\frac{13+2}{12}\\=\frac{15}{12}\\=\frac{5}{4}\)
4. \(+\left(\frac{11}{-7}\right)-\left(\frac{8}{11}\right)\\= \frac{-11}{7}-\frac{8}{11}\\=\frac{-121}{77}-\frac{56}{77}\\=\frac{-121-56}{77}\\=\frac{-177}{77}\)
5. \(-\left(\frac{-8}{-3}\right)-\left(\frac{-5}{-11}\right)\\= \frac{-8}{3}-\frac{5}{11}\\=\frac{-88}{33}-\frac{15}{33}\\=\frac{-88-15}{33}\\=\frac{-103}{33}\)
6. \(+\left(\frac{7}{10}\right)+\left(\frac{7}{-12}\right)\\= \frac{7}{10}-\frac{7}{12}\\=\frac{42}{60}-\frac{35}{60}\\=\frac{42-35}{60}\\=\frac{7}{60}\)
7. \(-\left(\frac{5}{-14}\right)+\left(\frac{-14}{3}\right)\\= \frac{5}{14}-\frac{14}{3}\\=\frac{15}{42}-\frac{196}{42}\\=\frac{15-196}{42}\\=\frac{-181}{42}\)
8. \(+\left(\frac{14}{-11}\right)-\left(\frac{-7}{11}\right)\\= \frac{-14}{11}+\frac{7}{11}\\=\frac{-14+7}{11}\\=\frac{-7}{11}\)
9. \(-\left(\frac{9}{-10}\right)+\left(\frac{7}{2}\right)\\= \frac{9}{10}+\frac{7}{2}\\=\frac{9+7}{10}\\=\frac{16}{10}\\=\frac{8}{5}\)
10. \(-\left(\frac{12}{11}\right)+\left(\frac{3}{7}\right)\\= \frac{-12}{11}+\frac{3}{7}\\=\frac{-84}{77}+\frac{33}{77}\\=\frac{-84+33}{77}\\=\frac{-51}{77}\)
11. \(-\left(\frac{-6}{-5}\right)-\left(\frac{5}{-3}\right)\\= \frac{-6}{5}+\frac{5}{3}\\=\frac{-18}{15}+\frac{25}{15}\\=\frac{-18+25}{15}\\=\frac{7}{15}\)
12. \(+\left(\frac{4}{11}\right)-\left(\frac{5}{6}\right)\\= \frac{4}{11}-\frac{5}{6}\\=\frac{24}{66}-\frac{55}{66}\\=\frac{24-55}{66}\\=\frac{-31}{66}\)