Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{-7}\right)-\left(\frac{-11}{2}\right)\\= \frac{12}{7}+\frac{11}{2}\\=\frac{24}{14}+\frac{77}{14}\\=\frac{24+77}{14}\\=\frac{101}{14}\)
2. \(+\left(\frac{7}{-8}\right)-\left(\frac{10}{-11}\right)\\= \frac{-7}{8}+\frac{10}{11}\\=\frac{-77}{88}+\frac{80}{88}\\=\frac{-77+80}{88}\\=\frac{3}{88}\)
3. \(-\left(\frac{15}{4}\right)+\left(\frac{12}{-11}\right)\\= \frac{-15}{4}-\frac{12}{11}\\=\frac{-165}{44}-\frac{48}{44}\\=\frac{-165-48}{44}\\=\frac{-213}{44}\)
4. \(-\left(\frac{10}{-7}\right)+\left(\frac{13}{11}\right)\\= \frac{10}{7}+\frac{13}{11}\\=\frac{110}{77}+\frac{91}{77}\\=\frac{110+91}{77}\\=\frac{201}{77}\)
5. \(+\left(\frac{-6}{-5}\right)+\left(\frac{8}{-13}\right)\\= \frac{6}{5}-\frac{8}{13}\\=\frac{78}{65}-\frac{40}{65}\\=\frac{78-40}{65}\\=\frac{38}{65}\)
6. \(+\left(\frac{-5}{-9}\right)+\left(\frac{-7}{-2}\right)\\= \frac{5}{9}+\frac{7}{2}\\=\frac{10}{18}+\frac{63}{18}\\=\frac{10+63}{18}\\=\frac{73}{18}\)
7. \(-\left(\frac{-6}{11}\right)+\left(\frac{-10}{3}\right)\\= \frac{6}{11}-\frac{10}{3}\\=\frac{18}{33}-\frac{110}{33}\\=\frac{18-110}{33}\\=\frac{-92}{33}\)
8. \(-\left(\frac{-10}{7}\right)-\left(\frac{5}{12}\right)\\= \frac{10}{7}-\frac{5}{12}\\=\frac{120}{84}-\frac{35}{84}\\=\frac{120-35}{84}\\=\frac{85}{84}\)
9. \(-\left(\frac{12}{11}\right)-\left(\frac{-8}{13}\right)\\= \frac{-12}{11}+\frac{8}{13}\\=\frac{-156}{143}+\frac{88}{143}\\=\frac{-156+88}{143}\\=\frac{-68}{143}\)
10. \(-\left(\frac{4}{3}\right)-\left(\frac{-8}{-3}\right)\\= \frac{-4}{3}-\frac{8}{3}\\=\frac{-4-8}{3}\\=\frac{-12}{3}\\=\frac{-4}{1}\)
11. \(+\left(\frac{-13}{6}\right)+\left(\frac{8}{11}\right)\\= \frac{-13}{6}+\frac{8}{11}\\=\frac{-143}{66}+\frac{48}{66}\\=\frac{-143+48}{66}\\=\frac{-95}{66}\)
12. \(-\left(\frac{9}{-11}\right)-\left(\frac{15}{11}\right)\\= \frac{9}{11}-\frac{15}{11}\\=\frac{9-15}{11}\\=\frac{-6}{11}\)