Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{11}\right)+\left(\frac{-7}{2}\right)\\= \frac{12}{11}-\frac{7}{2}\\=\frac{24}{22}-\frac{77}{22}\\=\frac{24-77}{22}\\=\frac{-53}{22}\)
2. \(-\left(\frac{-8}{-13}\right)-\left(\frac{-9}{-8}\right)\\= \frac{-8}{13}-\frac{9}{8}\\=\frac{-64}{104}-\frac{117}{104}\\=\frac{-64-117}{104}\\=\frac{-181}{104}\)
3. \(+\left(\frac{-15}{13}\right)-\left(\frac{15}{2}\right)\\= \frac{-15}{13}-\frac{15}{2}\\=\frac{-30}{26}-\frac{195}{26}\\=\frac{-30-195}{26}\\=\frac{-225}{26}\)
4. \(+\left(\frac{6}{11}\right)+\left(\frac{8}{5}\right)\\= \frac{6}{11}+\frac{8}{5}\\=\frac{30}{55}+\frac{88}{55}\\=\frac{30+88}{55}\\=\frac{118}{55}\)
5. \(+\left(\frac{-5}{12}\right)-\left(\frac{8}{-11}\right)\\= \frac{-5}{12}+\frac{8}{11}\\=\frac{-55}{132}+\frac{96}{132}\\=\frac{-55+96}{132}\\=\frac{41}{132}\)
6. \(-\left(\frac{15}{7}\right)+\left(\frac{10}{7}\right)\\= \frac{-15}{7}+\frac{10}{7}\\=\frac{-15+10}{7}\\=\frac{-5}{7}\)
7. \(+\left(\frac{12}{5}\right)+\left(\frac{11}{4}\right)\\= \frac{12}{5}+\frac{11}{4}\\=\frac{48}{20}+\frac{55}{20}\\=\frac{48+55}{20}\\=\frac{103}{20}\)
8. \(+\left(\frac{2}{-5}\right)+\left(\frac{-13}{-14}\right)\\= \frac{-2}{5}+\frac{13}{14}\\=\frac{-28}{70}+\frac{65}{70}\\=\frac{-28+65}{70}\\=\frac{37}{70}\)
9. \(+\left(\frac{-14}{-5}\right)+\left(\frac{-14}{-11}\right)\\= \frac{14}{5}+\frac{14}{11}\\=\frac{154}{55}+\frac{70}{55}\\=\frac{154+70}{55}\\=\frac{224}{55}\)
10. \(+\left(\frac{-10}{-13}\right)+\left(\frac{3}{2}\right)\\= \frac{10}{13}+\frac{3}{2}\\=\frac{20}{26}+\frac{39}{26}\\=\frac{20+39}{26}\\=\frac{59}{26}\)
11. \(+\left(\frac{-15}{13}\right)+\left(\frac{-4}{13}\right)\\= \frac{-15}{13}-\frac{4}{13}\\=\frac{-15-4}{13}\\=\frac{-19}{13}\)
12. \(+\left(\frac{-14}{9}\right)-\left(\frac{-13}{-14}\right)\\= \frac{-14}{9}-\frac{13}{14}\\=\frac{-196}{126}-\frac{117}{126}\\=\frac{-196-117}{126}\\=\frac{-313}{126}\)