Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{4}{-3}\right)-\left(\frac{-12}{11}\right)\\= \frac{-4}{3}+\frac{12}{11}\\=\frac{-44}{33}+\frac{36}{33}\\=\frac{-44+36}{33}\\=\frac{-8}{33}\)
2. \(+\left(\frac{-12}{-11}\right)+\left(\frac{-5}{-8}\right)\\= \frac{12}{11}+\frac{5}{8}\\=\frac{96}{88}+\frac{55}{88}\\=\frac{96+55}{88}\\=\frac{151}{88}\)
3. \(-\left(\frac{10}{3}\right)-\left(\frac{2}{-3}\right)\\= \frac{-10}{3}+\frac{2}{3}\\=\frac{-10+2}{3}\\=\frac{-8}{3}\)
4. \(-\left(\frac{-4}{9}\right)+\left(\frac{14}{9}\right)\\= \frac{4}{9}+\frac{14}{9}\\=\frac{4+14}{9}\\=\frac{18}{9}\\=\frac{2}{1}\)
5. \(-\left(\frac{5}{-11}\right)+\left(\frac{9}{2}\right)\\= \frac{5}{11}+\frac{9}{2}\\=\frac{10}{22}+\frac{99}{22}\\=\frac{10+99}{22}\\=\frac{109}{22}\)
6. \(+\left(\frac{-5}{9}\right)+\left(\frac{13}{3}\right)\\= \frac{-5}{9}+\frac{13}{3}\\=\frac{-5+13}{9}\\=\frac{8}{9}\)
7. \(-\left(\frac{6}{11}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-6}{11}+\frac{6}{7}\\=\frac{-42}{77}+\frac{66}{77}\\=\frac{-42+66}{77}\\=\frac{24}{77}\)
8. \(-\left(\frac{2}{3}\right)-\left(\frac{-7}{-8}\right)\\= \frac{-2}{3}-\frac{7}{8}\\=\frac{-16}{24}-\frac{21}{24}\\=\frac{-16-21}{24}\\=\frac{-37}{24}\)
9. \(+\left(\frac{-5}{-12}\right)-\left(\frac{8}{11}\right)\\= \frac{5}{12}-\frac{8}{11}\\=\frac{55}{132}-\frac{96}{132}\\=\frac{55-96}{132}\\=\frac{-41}{132}\)
10. \(+\left(\frac{-9}{13}\right)-\left(\frac{-4}{9}\right)\\= \frac{-9}{13}+\frac{4}{9}\\=\frac{-81}{117}+\frac{52}{117}\\=\frac{-81+52}{117}\\=\frac{-29}{117}\)
11. \(+\left(\frac{3}{-10}\right)-\left(\frac{11}{10}\right)\\= \frac{-3}{10}-\frac{11}{10}\\=\frac{-3-11}{10}\\=\frac{-14}{10}\\=\frac{-7}{5}\)
12. \(+\left(\frac{2}{-13}\right)+\left(\frac{-13}{6}\right)\\= \frac{-2}{13}-\frac{13}{6}\\=\frac{-12}{78}-\frac{169}{78}\\=\frac{-12-169}{78}\\=\frac{-181}{78}\)