Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-12}{5}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-12}{5}+\frac{14}{9}\\=\frac{-108}{45}+\frac{70}{45}\\=\frac{-108+70}{45}\\=\frac{-38}{45}\)
2. \(+\left(\frac{-2}{3}\right)-\left(\frac{-8}{-5}\right)\\= \frac{-2}{3}-\frac{8}{5}\\=\frac{-10}{15}-\frac{24}{15}\\=\frac{-10-24}{15}\\=\frac{-34}{15}\)
3. \(-\left(\frac{15}{-8}\right)+\left(\frac{-3}{-2}\right)\\= \frac{15}{8}+\frac{3}{2}\\=\frac{15+3}{8}\\=\frac{18}{8}\\=\frac{9}{4}\)
4. \(-\left(\frac{-4}{13}\right)-\left(\frac{5}{4}\right)\\= \frac{4}{13}-\frac{5}{4}\\=\frac{16}{52}-\frac{65}{52}\\=\frac{16-65}{52}\\=\frac{-49}{52}\)
5. \(+\left(\frac{-6}{5}\right)-\left(\frac{-3}{-5}\right)\\= \frac{-6}{5}-\frac{3}{5}\\=\frac{-6-3}{5}\\=\frac{-9}{5}\)
6. \(-\left(\frac{-3}{-14}\right)-\left(\frac{-3}{-7}\right)\\= \frac{-3}{14}-\frac{3}{7}\\=\frac{-3-3}{14}\\=\frac{-6}{14}\\=\frac{-3}{7}\)
7. \(-\left(\frac{-12}{5}\right)-\left(\frac{6}{-5}\right)\\= \frac{12}{5}+\frac{6}{5}\\=\frac{12+6}{5}\\=\frac{18}{5}\)
8. \(-\left(\frac{5}{-6}\right)-\left(\frac{12}{-5}\right)\\= \frac{5}{6}+\frac{12}{5}\\=\frac{25}{30}+\frac{72}{30}\\=\frac{25+72}{30}\\=\frac{97}{30}\)
9. \(+\left(\frac{10}{-7}\right)+\left(\frac{-9}{-4}\right)\\= \frac{-10}{7}+\frac{9}{4}\\=\frac{-40}{28}+\frac{63}{28}\\=\frac{-40+63}{28}\\=\frac{23}{28}\)
10. \(+\left(\frac{-10}{-3}\right)-\left(\frac{-6}{5}\right)\\= \frac{10}{3}+\frac{6}{5}\\=\frac{50}{15}+\frac{18}{15}\\=\frac{50+18}{15}\\=\frac{68}{15}\)
11. \(+\left(\frac{-2}{-5}\right)+\left(\frac{-13}{9}\right)\\= \frac{2}{5}-\frac{13}{9}\\=\frac{18}{45}-\frac{65}{45}\\=\frac{18-65}{45}\\=\frac{-47}{45}\)
12. \(+\left(\frac{10}{7}\right)-\left(\frac{-3}{13}\right)\\= \frac{10}{7}+\frac{3}{13}\\=\frac{130}{91}+\frac{21}{91}\\=\frac{130+21}{91}\\=\frac{151}{91}\)