Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-9}{4}\right)+\left(\frac{-6}{11}\right)\\= \frac{-9}{4}-\frac{6}{11}\\=\frac{-99}{44}-\frac{24}{44}\\=\frac{-99-24}{44}\\=\frac{-123}{44}\)
2. \(+\left(\frac{-6}{5}\right)+\left(\frac{-4}{-5}\right)\\= \frac{-6}{5}+\frac{4}{5}\\=\frac{-6+4}{5}\\=\frac{-2}{5}\)
3. \(+\left(\frac{-13}{9}\right)+\left(\frac{-13}{6}\right)\\= \frac{-13}{9}-\frac{13}{6}\\=\frac{-26}{18}-\frac{39}{18}\\=\frac{-26-39}{18}\\=\frac{-65}{18}\)
4. \(-\left(\frac{13}{5}\right)-\left(\frac{-15}{11}\right)\\= \frac{-13}{5}+\frac{15}{11}\\=\frac{-143}{55}+\frac{75}{55}\\=\frac{-143+75}{55}\\=\frac{-68}{55}\)
5. \(+\left(\frac{13}{14}\right)+\left(\frac{4}{-7}\right)\\= \frac{13}{14}-\frac{4}{7}\\=\frac{13-4}{14}\\=\frac{9}{14}\)
6. \(-\left(\frac{5}{-8}\right)-\left(\frac{-9}{-4}\right)\\= \frac{5}{8}-\frac{9}{4}\\=\frac{5-9}{8}\\=\frac{-4}{8}\\=\frac{-1}{2}\)
7. \(-\left(\frac{8}{13}\right)+\left(\frac{-5}{7}\right)\\= \frac{-8}{13}-\frac{5}{7}\\=\frac{-56}{91}-\frac{65}{91}\\=\frac{-56-65}{91}\\=\frac{-121}{91}\)
8. \(+\left(\frac{11}{8}\right)-\left(\frac{11}{-2}\right)\\= \frac{11}{8}+\frac{11}{2}\\=\frac{11+11}{8}\\=\frac{22}{8}\\=\frac{11}{4}\)
9. \(-\left(\frac{4}{-3}\right)-\left(\frac{11}{6}\right)\\= \frac{4}{3}-\frac{11}{6}\\=\frac{8}{6}-\frac{11}{6}\\=\frac{8-11}{6}\\=\frac{-3}{6}\\=\frac{-1}{2}\)
10. \(-\left(\frac{12}{-13}\right)-\left(\frac{-2}{5}\right)\\= \frac{12}{13}+\frac{2}{5}\\=\frac{60}{65}+\frac{26}{65}\\=\frac{60+26}{65}\\=\frac{86}{65}\)
11. \(-\left(\frac{2}{-9}\right)+\left(\frac{2}{3}\right)\\= \frac{2}{9}+\frac{2}{3}\\=\frac{2+2}{9}\\=\frac{4}{9}\)
12. \(+\left(\frac{15}{-2}\right)+\left(\frac{-9}{-2}\right)\\= \frac{-15}{2}+\frac{9}{2}\\=\frac{-15+9}{2}\\=\frac{-6}{2}\\=\frac{-3}{1}\)