Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{14}{-9}\right)+\left(\frac{3}{2}\right)\\= \frac{14}{9}+\frac{3}{2}\\=\frac{28}{18}+\frac{27}{18}\\=\frac{28+27}{18}\\=\frac{55}{18}\)
2. \(+\left(\frac{6}{-13}\right)-\left(\frac{11}{-2}\right)\\= \frac{-6}{13}+\frac{11}{2}\\=\frac{-12}{26}+\frac{143}{26}\\=\frac{-12+143}{26}\\=\frac{131}{26}\)
3. \(-\left(\frac{-8}{-3}\right)+\left(\frac{-13}{-9}\right)\\= \frac{-8}{3}+\frac{13}{9}\\=\frac{-24}{9}+\frac{13}{9}\\=\frac{-24+13}{9}\\=\frac{-11}{9}\)
4. \(-\left(\frac{-4}{7}\right)-\left(\frac{14}{3}\right)\\= \frac{4}{7}-\frac{14}{3}\\=\frac{12}{21}-\frac{98}{21}\\=\frac{12-98}{21}\\=\frac{-86}{21}\)
5. \(+\left(\frac{-11}{9}\right)-\left(\frac{4}{-13}\right)\\= \frac{-11}{9}+\frac{4}{13}\\=\frac{-143}{117}+\frac{36}{117}\\=\frac{-143+36}{117}\\=\frac{-107}{117}\)
6. \(-\left(\frac{13}{2}\right)-\left(\frac{2}{-3}\right)\\= \frac{-13}{2}+\frac{2}{3}\\=\frac{-39}{6}+\frac{4}{6}\\=\frac{-39+4}{6}\\=\frac{-35}{6}\)
7. \(-\left(\frac{-5}{2}\right)+\left(\frac{14}{-13}\right)\\= \frac{5}{2}-\frac{14}{13}\\=\frac{65}{26}-\frac{28}{26}\\=\frac{65-28}{26}\\=\frac{37}{26}\)
8. \(-\left(\frac{5}{2}\right)+\left(\frac{2}{-7}\right)\\= \frac{-5}{2}-\frac{2}{7}\\=\frac{-35}{14}-\frac{4}{14}\\=\frac{-35-4}{14}\\=\frac{-39}{14}\)
9. \(-\left(\frac{12}{-5}\right)-\left(\frac{-13}{2}\right)\\= \frac{12}{5}+\frac{13}{2}\\=\frac{24}{10}+\frac{65}{10}\\=\frac{24+65}{10}\\=\frac{89}{10}\)
10. \(-\left(\frac{14}{3}\right)-\left(\frac{11}{-9}\right)\\= \frac{-14}{3}+\frac{11}{9}\\=\frac{-42}{9}+\frac{11}{9}\\=\frac{-42+11}{9}\\=\frac{-31}{9}\)
11. \(-\left(\frac{12}{7}\right)-\left(\frac{-11}{-2}\right)\\= \frac{-12}{7}-\frac{11}{2}\\=\frac{-24}{14}-\frac{77}{14}\\=\frac{-24-77}{14}\\=\frac{-101}{14}\)
12. \(+\left(\frac{5}{-2}\right)-\left(\frac{4}{-3}\right)\\= \frac{-5}{2}+\frac{4}{3}\\=\frac{-15}{6}+\frac{8}{6}\\=\frac{-15+8}{6}\\=\frac{-7}{6}\)