Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{4}\right)-\left(\frac{-11}{2}\right)\\= \frac{7}{4}+\frac{11}{2}\\=\frac{7+11}{4}\\=\frac{18}{4}\\=\frac{9}{2}\)
2. \(-\left(\frac{2}{13}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-2}{13}+\frac{14}{9}\\=\frac{-18}{117}+\frac{182}{117}\\=\frac{-18+182}{117}\\=\frac{164}{117}\)
3. \(-\left(\frac{2}{9}\right)-\left(\frac{-10}{-9}\right)\\= \frac{-2}{9}-\frac{10}{9}\\=\frac{-2-10}{9}\\=\frac{-12}{9}\\=\frac{-4}{3}\)
4. \(+\left(\frac{-14}{3}\right)+\left(\frac{-9}{7}\right)\\= \frac{-14}{3}-\frac{9}{7}\\=\frac{-98}{21}-\frac{27}{21}\\=\frac{-98-27}{21}\\=\frac{-125}{21}\)
5. \(-\left(\frac{3}{10}\right)+\left(\frac{-15}{8}\right)\\= \frac{-3}{10}-\frac{15}{8}\\=\frac{-12}{40}-\frac{75}{40}\\=\frac{-12-75}{40}\\=\frac{-87}{40}\)
6. \(-\left(\frac{-9}{-2}\right)+\left(\frac{-5}{12}\right)\\= \frac{-9}{2}-\frac{5}{12}\\=\frac{-54}{12}-\frac{5}{12}\\=\frac{-54-5}{12}\\=\frac{-59}{12}\)
7. \(+\left(\frac{2}{-9}\right)-\left(\frac{-6}{5}\right)\\= \frac{-2}{9}+\frac{6}{5}\\=\frac{-10}{45}+\frac{54}{45}\\=\frac{-10+54}{45}\\=\frac{44}{45}\)
8. \(+\left(\frac{-4}{-3}\right)+\left(\frac{-2}{-13}\right)\\= \frac{4}{3}+\frac{2}{13}\\=\frac{52}{39}+\frac{6}{39}\\=\frac{52+6}{39}\\=\frac{58}{39}\)
9. \(-\left(\frac{9}{13}\right)+\left(\frac{-4}{9}\right)\\= \frac{-9}{13}-\frac{4}{9}\\=\frac{-81}{117}-\frac{52}{117}\\=\frac{-81-52}{117}\\=\frac{-133}{117}\)
10. \(+\left(\frac{7}{6}\right)-\left(\frac{-4}{3}\right)\\= \frac{7}{6}+\frac{4}{3}\\=\frac{7+4}{6}\\=\frac{11}{6}\)
11. \(+\left(\frac{-10}{9}\right)+\left(\frac{-8}{7}\right)\\= \frac{-10}{9}-\frac{8}{7}\\=\frac{-70}{63}-\frac{72}{63}\\=\frac{-70-72}{63}\\=\frac{-142}{63}\)
12. \(-\left(\frac{11}{10}\right)+\left(\frac{12}{-5}\right)\\= \frac{-11}{10}-\frac{12}{5}\\=\frac{-11-12}{10}\\=\frac{-23}{10}\)