Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{-10}\right)-\left(\frac{-7}{2}\right)\\= \frac{9}{10}+\frac{7}{2}\\=\frac{9+7}{10}\\=\frac{16}{10}\\=\frac{8}{5}\)
2. \(-\left(\frac{2}{-11}\right)+\left(\frac{-5}{7}\right)\\= \frac{2}{11}-\frac{5}{7}\\=\frac{14}{77}-\frac{55}{77}\\=\frac{14-55}{77}\\=\frac{-41}{77}\)
3. \(-\left(\frac{13}{5}\right)+\left(\frac{-13}{6}\right)\\= \frac{-13}{5}-\frac{13}{6}\\=\frac{-78}{30}-\frac{65}{30}\\=\frac{-78-65}{30}\\=\frac{-143}{30}\)
4. \(-\left(\frac{-8}{-3}\right)+\left(\frac{-14}{-13}\right)\\= \frac{-8}{3}+\frac{14}{13}\\=\frac{-104}{39}+\frac{42}{39}\\=\frac{-104+42}{39}\\=\frac{-62}{39}\)
5. \(-\left(\frac{-9}{13}\right)-\left(\frac{-8}{-5}\right)\\= \frac{9}{13}-\frac{8}{5}\\=\frac{45}{65}-\frac{104}{65}\\=\frac{45-104}{65}\\=\frac{-59}{65}\)
6. \(+\left(\frac{-3}{-10}\right)+\left(\frac{6}{-5}\right)\\= \frac{3}{10}-\frac{6}{5}\\=\frac{3-6}{10}\\=\frac{-3}{10}\)
7. \(+\left(\frac{-2}{-5}\right)-\left(\frac{14}{-3}\right)\\= \frac{2}{5}+\frac{14}{3}\\=\frac{6}{15}+\frac{70}{15}\\=\frac{6+70}{15}\\=\frac{76}{15}\)
8. \(+\left(\frac{-10}{3}\right)+\left(\frac{14}{5}\right)\\= \frac{-10}{3}+\frac{14}{5}\\=\frac{-50}{15}+\frac{42}{15}\\=\frac{-50+42}{15}\\=\frac{-8}{15}\)
9. \(-\left(\frac{-10}{-3}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-10}{3}-\frac{2}{3}\\=\frac{-10-2}{3}\\=\frac{-12}{3}\\=\frac{-4}{1}\)
10. \(+\left(\frac{-14}{-9}\right)+\left(\frac{-15}{-14}\right)\\= \frac{14}{9}+\frac{15}{14}\\=\frac{196}{126}+\frac{135}{126}\\=\frac{196+135}{126}\\=\frac{331}{126}\)
11. \(-\left(\frac{-11}{14}\right)+\left(\frac{15}{-11}\right)\\= \frac{11}{14}-\frac{15}{11}\\=\frac{121}{154}-\frac{210}{154}\\=\frac{121-210}{154}\\=\frac{-89}{154}\)
12. \(-\left(\frac{12}{11}\right)-\left(\frac{2}{3}\right)\\= \frac{-12}{11}-\frac{2}{3}\\=\frac{-36}{33}-\frac{22}{33}\\=\frac{-36-22}{33}\\=\frac{-58}{33}\)