Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{-6}\right)-\left(\frac{-10}{11}\right)\\= \frac{5}{6}+\frac{10}{11}\\=\frac{55}{66}+\frac{60}{66}\\=\frac{55+60}{66}\\=\frac{115}{66}\)
2. \(+\left(\frac{-6}{5}\right)+\left(\frac{11}{-13}\right)\\= \frac{-6}{5}-\frac{11}{13}\\=\frac{-78}{65}-\frac{55}{65}\\=\frac{-78-55}{65}\\=\frac{-133}{65}\)
3. \(+\left(\frac{-7}{-4}\right)+\left(\frac{14}{13}\right)\\= \frac{7}{4}+\frac{14}{13}\\=\frac{91}{52}+\frac{56}{52}\\=\frac{91+56}{52}\\=\frac{147}{52}\)
4. \(-\left(\frac{-8}{3}\right)+\left(\frac{-7}{11}\right)\\= \frac{8}{3}-\frac{7}{11}\\=\frac{88}{33}-\frac{21}{33}\\=\frac{88-21}{33}\\=\frac{67}{33}\)
5. \(-\left(\frac{11}{5}\right)+\left(\frac{-10}{7}\right)\\= \frac{-11}{5}-\frac{10}{7}\\=\frac{-77}{35}-\frac{50}{35}\\=\frac{-77-50}{35}\\=\frac{-127}{35}\)
6. \(+\left(\frac{3}{-8}\right)-\left(\frac{7}{-6}\right)\\= \frac{-3}{8}+\frac{7}{6}\\=\frac{-9}{24}+\frac{28}{24}\\=\frac{-9+28}{24}\\=\frac{19}{24}\)
7. \(+\left(\frac{10}{13}\right)+\left(\frac{-9}{13}\right)\\= \frac{10}{13}-\frac{9}{13}\\=\frac{10-9}{13}\\=\frac{1}{13}\)
8. \(+\left(\frac{11}{5}\right)-\left(\frac{14}{11}\right)\\= \frac{11}{5}-\frac{14}{11}\\=\frac{121}{55}-\frac{70}{55}\\=\frac{121-70}{55}\\=\frac{51}{55}\)
9. \(+\left(\frac{6}{-13}\right)-\left(\frac{-4}{-9}\right)\\= \frac{-6}{13}-\frac{4}{9}\\=\frac{-54}{117}-\frac{52}{117}\\=\frac{-54-52}{117}\\=\frac{-106}{117}\)
10. \(+\left(\frac{7}{-10}\right)-\left(\frac{-5}{-2}\right)\\= \frac{-7}{10}-\frac{5}{2}\\=\frac{-7-5}{10}\\=\frac{-12}{10}\\=\frac{-6}{5}\)
11. \(-\left(\frac{11}{13}\right)+\left(\frac{-3}{10}\right)\\= \frac{-11}{13}-\frac{3}{10}\\=\frac{-110}{130}-\frac{39}{130}\\=\frac{-110-39}{130}\\=\frac{-149}{130}\)
12. \(+\left(\frac{-13}{-7}\right)-\left(\frac{-13}{12}\right)\\= \frac{13}{7}+\frac{13}{12}\\=\frac{156}{84}+\frac{91}{84}\\=\frac{156+91}{84}\\=\frac{247}{84}\)