Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{10}{-3}\right)+\left(\frac{-15}{4}\right)\\= \frac{-10}{3}-\frac{15}{4}\\=\frac{-40}{12}-\frac{45}{12}\\=\frac{-40-45}{12}\\=\frac{-85}{12}\)
2. \(-\left(\frac{13}{5}\right)+\left(\frac{-9}{5}\right)\\= \frac{-13}{5}-\frac{9}{5}\\=\frac{-13-9}{5}\\=\frac{-22}{5}\)
3. \(-\left(\frac{2}{-5}\right)-\left(\frac{3}{5}\right)\\= \frac{2}{5}-\frac{3}{5}\\=\frac{2-3}{5}\\=\frac{-1}{5}\)
4. \(-\left(\frac{13}{-12}\right)-\left(\frac{13}{-2}\right)\\= \frac{13}{12}+\frac{13}{2}\\=\frac{13+13}{12}\\=\frac{26}{12}\\=\frac{13}{6}\)
5. \(-\left(\frac{8}{7}\right)+\left(\frac{-12}{11}\right)\\= \frac{-8}{7}-\frac{12}{11}\\=\frac{-88}{77}-\frac{84}{77}\\=\frac{-88-84}{77}\\=\frac{-172}{77}\)
6. \(-\left(\frac{13}{-8}\right)-\left(\frac{10}{11}\right)\\= \frac{13}{8}-\frac{10}{11}\\=\frac{143}{88}-\frac{80}{88}\\=\frac{143-80}{88}\\=\frac{63}{88}\)
7. \(+\left(\frac{-7}{-6}\right)-\left(\frac{-12}{-7}\right)\\= \frac{7}{6}-\frac{12}{7}\\=\frac{49}{42}-\frac{72}{42}\\=\frac{49-72}{42}\\=\frac{-23}{42}\)
8. \(-\left(\frac{12}{11}\right)+\left(\frac{12}{5}\right)\\= \frac{-12}{11}+\frac{12}{5}\\=\frac{-60}{55}+\frac{132}{55}\\=\frac{-60+132}{55}\\=\frac{72}{55}\)
9. \(+\left(\frac{12}{5}\right)+\left(\frac{-14}{-9}\right)\\= \frac{12}{5}+\frac{14}{9}\\=\frac{108}{45}+\frac{70}{45}\\=\frac{108+70}{45}\\=\frac{178}{45}\)
10. \(+\left(\frac{14}{3}\right)+\left(\frac{-6}{7}\right)\\= \frac{14}{3}-\frac{6}{7}\\=\frac{98}{21}-\frac{18}{21}\\=\frac{98-18}{21}\\=\frac{80}{21}\)
11. \(-\left(\frac{-6}{13}\right)+\left(\frac{14}{5}\right)\\= \frac{6}{13}+\frac{14}{5}\\=\frac{30}{65}+\frac{182}{65}\\=\frac{30+182}{65}\\=\frac{212}{65}\)
12. \(-\left(\frac{-6}{5}\right)-\left(\frac{-6}{5}\right)\\= \frac{6}{5}+\frac{6}{5}\\=\frac{6+6}{5}\\=\frac{12}{5}\)