Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{10}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-7}{10}-\frac{6}{5}\\=\frac{-7-6}{10}\\=\frac{-13}{10}\)
2. \(-\left(\frac{-8}{5}\right)+\left(\frac{5}{-3}\right)\\= \frac{8}{5}-\frac{5}{3}\\=\frac{24}{15}-\frac{25}{15}\\=\frac{24-25}{15}\\=\frac{-1}{15}\)
3. \(+\left(\frac{-11}{-7}\right)-\left(\frac{15}{-14}\right)\\= \frac{11}{7}+\frac{15}{14}\\=\frac{22}{14}+\frac{15}{14}\\=\frac{22+15}{14}\\=\frac{37}{14}\)
4. \(+\left(\frac{5}{14}\right)+\left(\frac{-4}{-7}\right)\\= \frac{5}{14}+\frac{4}{7}\\=\frac{5+4}{14}\\=\frac{9}{14}\)
5. \(+\left(\frac{-14}{9}\right)+\left(\frac{15}{7}\right)\\= \frac{-14}{9}+\frac{15}{7}\\=\frac{-98}{63}+\frac{135}{63}\\=\frac{-98+135}{63}\\=\frac{37}{63}\)
6. \(-\left(\frac{15}{-2}\right)-\left(\frac{-3}{-7}\right)\\= \frac{15}{2}-\frac{3}{7}\\=\frac{105}{14}-\frac{6}{14}\\=\frac{105-6}{14}\\=\frac{99}{14}\)
7. \(+\left(\frac{-10}{-13}\right)+\left(\frac{15}{-7}\right)\\= \frac{10}{13}-\frac{15}{7}\\=\frac{70}{91}-\frac{195}{91}\\=\frac{70-195}{91}\\=\frac{-125}{91}\)
8. \(+\left(\frac{6}{5}\right)+\left(\frac{10}{-9}\right)\\= \frac{6}{5}-\frac{10}{9}\\=\frac{54}{45}-\frac{50}{45}\\=\frac{54-50}{45}\\=\frac{4}{45}\)
9. \(-\left(\frac{-3}{-8}\right)-\left(\frac{14}{-3}\right)\\= \frac{-3}{8}+\frac{14}{3}\\=\frac{-9}{24}+\frac{112}{24}\\=\frac{-9+112}{24}\\=\frac{103}{24}\)
10. \(-\left(\frac{4}{3}\right)+\left(\frac{-15}{-13}\right)\\= \frac{-4}{3}+\frac{15}{13}\\=\frac{-52}{39}+\frac{45}{39}\\=\frac{-52+45}{39}\\=\frac{-7}{39}\)
11. \(+\left(\frac{9}{-2}\right)+\left(\frac{3}{-2}\right)\\= \frac{-9}{2}-\frac{3}{2}\\=\frac{-9-3}{2}\\=\frac{-12}{2}\\=\frac{-6}{1}\)
12. \(-\left(\frac{4}{-11}\right)-\left(\frac{-8}{11}\right)\\= \frac{4}{11}+\frac{8}{11}\\=\frac{4+8}{11}\\=\frac{12}{11}\)