Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{14}\right)-\left(\frac{11}{6}\right)\\= \frac{-9}{14}-\frac{11}{6}\\=\frac{-27}{42}-\frac{77}{42}\\=\frac{-27-77}{42}\\=\frac{-104}{42}\\=\frac{-52}{21}\)
2. \(+\left(\frac{-7}{2}\right)+\left(\frac{-11}{-4}\right)\\= \frac{-7}{2}+\frac{11}{4}\\=\frac{-14}{4}+\frac{11}{4}\\=\frac{-14+11}{4}\\=\frac{-3}{4}\)
3. \(-\left(\frac{7}{5}\right)+\left(\frac{9}{5}\right)\\= \frac{-7}{5}+\frac{9}{5}\\=\frac{-7+9}{5}\\=\frac{2}{5}\)
4. \(+\left(\frac{-11}{12}\right)+\left(\frac{14}{-11}\right)\\= \frac{-11}{12}-\frac{14}{11}\\=\frac{-121}{132}-\frac{168}{132}\\=\frac{-121-168}{132}\\=\frac{-289}{132}\)
5. \(+\left(\frac{5}{-9}\right)-\left(\frac{14}{3}\right)\\= \frac{-5}{9}-\frac{14}{3}\\=\frac{-5-14}{9}\\=\frac{-19}{9}\)
6. \(+\left(\frac{13}{-12}\right)+\left(\frac{-5}{8}\right)\\= \frac{-13}{12}-\frac{5}{8}\\=\frac{-26}{24}-\frac{15}{24}\\=\frac{-26-15}{24}\\=\frac{-41}{24}\)
7. \(+\left(\frac{-4}{-13}\right)-\left(\frac{-7}{-6}\right)\\= \frac{4}{13}-\frac{7}{6}\\=\frac{24}{78}-\frac{91}{78}\\=\frac{24-91}{78}\\=\frac{-67}{78}\)
8. \(-\left(\frac{12}{7}\right)+\left(\frac{8}{9}\right)\\= \frac{-12}{7}+\frac{8}{9}\\=\frac{-108}{63}+\frac{56}{63}\\=\frac{-108+56}{63}\\=\frac{-52}{63}\)
9. \(-\left(\frac{-6}{5}\right)-\left(\frac{15}{-11}\right)\\= \frac{6}{5}+\frac{15}{11}\\=\frac{66}{55}+\frac{75}{55}\\=\frac{66+75}{55}\\=\frac{141}{55}\)
10. \(-\left(\frac{14}{-13}\right)+\left(\frac{-9}{13}\right)\\= \frac{14}{13}-\frac{9}{13}\\=\frac{14-9}{13}\\=\frac{5}{13}\)
11. \(-\left(\frac{-3}{-11}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-3}{11}-\frac{12}{11}\\=\frac{-3-12}{11}\\=\frac{-15}{11}\)
12. \(+\left(\frac{13}{-2}\right)-\left(\frac{-12}{5}\right)\\= \frac{-13}{2}+\frac{12}{5}\\=\frac{-65}{10}+\frac{24}{10}\\=\frac{-65+24}{10}\\=\frac{-41}{10}\)