Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-10}{-3}\right)+\left(\frac{-7}{-6}\right)\\= \frac{10}{3}+\frac{7}{6}\\=\frac{20}{6}+\frac{7}{6}\\=\frac{20+7}{6}\\=\frac{27}{6}\\=\frac{9}{2}\)
2. \(+\left(\frac{12}{-5}\right)-\left(\frac{12}{5}\right)\\= \frac{-12}{5}-\frac{12}{5}\\=\frac{-12-12}{5}\\=\frac{-24}{5}\)
3. \(-\left(\frac{2}{7}\right)-\left(\frac{9}{7}\right)\\= \frac{-2}{7}-\frac{9}{7}\\=\frac{-2-9}{7}\\=\frac{-11}{7}\)
4. \(-\left(\frac{-8}{5}\right)+\left(\frac{14}{5}\right)\\= \frac{8}{5}+\frac{14}{5}\\=\frac{8+14}{5}\\=\frac{22}{5}\)
5. \(-\left(\frac{-7}{8}\right)-\left(\frac{9}{2}\right)\\= \frac{7}{8}-\frac{9}{2}\\=\frac{7-9}{8}\\=\frac{-2}{8}\\=\frac{-1}{4}\)
6. \(+\left(\frac{-11}{-12}\right)+\left(\frac{-11}{8}\right)\\= \frac{11}{12}-\frac{11}{8}\\=\frac{22}{24}-\frac{33}{24}\\=\frac{22-33}{24}\\=\frac{-11}{24}\)
7. \(-\left(\frac{-6}{5}\right)-\left(\frac{11}{14}\right)\\= \frac{6}{5}-\frac{11}{14}\\=\frac{84}{70}-\frac{55}{70}\\=\frac{84-55}{70}\\=\frac{29}{70}\)
8. \(+\left(\frac{14}{-9}\right)-\left(\frac{2}{-5}\right)\\= \frac{-14}{9}+\frac{2}{5}\\=\frac{-70}{45}+\frac{18}{45}\\=\frac{-70+18}{45}\\=\frac{-52}{45}\)
9. \(-\left(\frac{4}{9}\right)-\left(\frac{-2}{-11}\right)\\= \frac{-4}{9}-\frac{2}{11}\\=\frac{-44}{99}-\frac{18}{99}\\=\frac{-44-18}{99}\\=\frac{-62}{99}\)
10. \(-\left(\frac{2}{-3}\right)+\left(\frac{-6}{5}\right)\\= \frac{2}{3}-\frac{6}{5}\\=\frac{10}{15}-\frac{18}{15}\\=\frac{10-18}{15}\\=\frac{-8}{15}\)
11. \(+\left(\frac{-15}{2}\right)+\left(\frac{-7}{-9}\right)\\= \frac{-15}{2}+\frac{7}{9}\\=\frac{-135}{18}+\frac{14}{18}\\=\frac{-135+14}{18}\\=\frac{-121}{18}\)
12. \(+\left(\frac{-2}{3}\right)+\left(\frac{7}{-4}\right)\\= \frac{-2}{3}-\frac{7}{4}\\=\frac{-8}{12}-\frac{21}{12}\\=\frac{-8-21}{12}\\=\frac{-29}{12}\)