Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{3}\right)-\left(\frac{-8}{9}\right)\\= \frac{-4}{3}+\frac{8}{9}\\=\frac{-12}{9}+\frac{8}{9}\\=\frac{-12+8}{9}\\=\frac{-4}{9}\)
2. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-5}{11}\right)\\= \frac{-6}{5}+\frac{5}{11}\\=\frac{-66}{55}+\frac{25}{55}\\=\frac{-66+25}{55}\\=\frac{-41}{55}\)
3. \(-\left(\frac{15}{-8}\right)-\left(\frac{-6}{-5}\right)\\= \frac{15}{8}-\frac{6}{5}\\=\frac{75}{40}-\frac{48}{40}\\=\frac{75-48}{40}\\=\frac{27}{40}\)
4. \(-\left(\frac{-13}{-2}\right)+\left(\frac{14}{-3}\right)\\= \frac{-13}{2}-\frac{14}{3}\\=\frac{-39}{6}-\frac{28}{6}\\=\frac{-39-28}{6}\\=\frac{-67}{6}\)
5. \(-\left(\frac{11}{8}\right)-\left(\frac{5}{-14}\right)\\= \frac{-11}{8}+\frac{5}{14}\\=\frac{-77}{56}+\frac{20}{56}\\=\frac{-77+20}{56}\\=\frac{-57}{56}\)
6. \(+\left(\frac{4}{3}\right)+\left(\frac{-14}{-3}\right)\\= \frac{4}{3}+\frac{14}{3}\\=\frac{4+14}{3}\\=\frac{18}{3}\\=\frac{6}{1}\)
7. \(-\left(\frac{15}{4}\right)+\left(\frac{15}{-13}\right)\\= \frac{-15}{4}-\frac{15}{13}\\=\frac{-195}{52}-\frac{60}{52}\\=\frac{-195-60}{52}\\=\frac{-255}{52}\)
8. \(-\left(\frac{-5}{7}\right)-\left(\frac{-14}{-3}\right)\\= \frac{5}{7}-\frac{14}{3}\\=\frac{15}{21}-\frac{98}{21}\\=\frac{15-98}{21}\\=\frac{-83}{21}\)
9. \(-\left(\frac{-11}{12}\right)+\left(\frac{9}{5}\right)\\= \frac{11}{12}+\frac{9}{5}\\=\frac{55}{60}+\frac{108}{60}\\=\frac{55+108}{60}\\=\frac{163}{60}\)
10. \(-\left(\frac{-6}{-7}\right)-\left(\frac{-4}{-9}\right)\\= \frac{-6}{7}-\frac{4}{9}\\=\frac{-54}{63}-\frac{28}{63}\\=\frac{-54-28}{63}\\=\frac{-82}{63}\)
11. \(+\left(\frac{-5}{4}\right)-\left(\frac{4}{3}\right)\\= \frac{-5}{4}-\frac{4}{3}\\=\frac{-15}{12}-\frac{16}{12}\\=\frac{-15-16}{12}\\=\frac{-31}{12}\)
12. \(-\left(\frac{-8}{-9}\right)-\left(\frac{8}{13}\right)\\= \frac{-8}{9}-\frac{8}{13}\\=\frac{-104}{117}-\frac{72}{117}\\=\frac{-104-72}{117}\\=\frac{-176}{117}\)