Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer 

Bereken

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

Bereken

Verbetersleutel

  1. \(+\left(\frac{-13}{-9}\right)-\left(\frac{-6}{5}\right)\\= \frac{13}{9}+\frac{6}{5}\\=\frac{65}{45}+\frac{54}{45}\\=\frac{65+54}{45}\\=\frac{119}{45}\)
  2. \(-\left(\frac{12}{5}\right)-\left(\frac{8}{-3}\right)\\= \frac{-12}{5}+\frac{8}{3}\\=\frac{-36}{15}+\frac{40}{15}\\=\frac{-36+40}{15}\\=\frac{4}{15}\)
  3. \(-\left(\frac{7}{-9}\right)-\left(\frac{13}{9}\right)\\= \frac{7}{9}-\frac{13}{9}\\=\frac{7-13}{9}\\=\frac{-6}{9}\\=\frac{-2}{3}\)
  4. \(+\left(\frac{-10}{-11}\right)-\left(\frac{-9}{5}\right)\\= \frac{10}{11}+\frac{9}{5}\\=\frac{50}{55}+\frac{99}{55}\\=\frac{50+99}{55}\\=\frac{149}{55}\)
  5. \(+\left(\frac{-10}{-3}\right)+\left(\frac{4}{-9}\right)\\= \frac{10}{3}-\frac{4}{9}\\=\frac{30}{9}-\frac{4}{9}\\=\frac{30-4}{9}\\=\frac{26}{9}\)
  6. \(-\left(\frac{8}{11}\right)-\left(\frac{8}{-11}\right)\\= \frac{-8}{11}+\frac{8}{11}\\=\frac{-8+8}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
  7. \(+\left(\frac{-15}{-11}\right)+\left(\frac{5}{-11}\right)\\= \frac{15}{11}-\frac{5}{11}\\=\frac{15-5}{11}\\=\frac{10}{11}\)
  8. \(-\left(\frac{11}{8}\right)-\left(\frac{-11}{-13}\right)\\= \frac{-11}{8}-\frac{11}{13}\\=\frac{-143}{104}-\frac{88}{104}\\=\frac{-143-88}{104}\\=\frac{-231}{104}\)
  9. \(+\left(\frac{2}{3}\right)-\left(\frac{8}{9}\right)\\= \frac{2}{3}-\frac{8}{9}\\=\frac{6}{9}-\frac{8}{9}\\=\frac{6-8}{9}\\=\frac{-2}{9}\)
  10. \(-\left(\frac{-10}{-3}\right)-\left(\frac{-8}{5}\right)\\= \frac{-10}{3}+\frac{8}{5}\\=\frac{-50}{15}+\frac{24}{15}\\=\frac{-50+24}{15}\\=\frac{-26}{15}\)
  11. \(+\left(\frac{-13}{6}\right)+\left(\frac{-5}{9}\right)\\= \frac{-13}{6}-\frac{5}{9}\\=\frac{-39}{18}-\frac{10}{18}\\=\frac{-39-10}{18}\\=\frac{-49}{18}\)
  12. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-8}{-9}\right)\\= \frac{-5}{11}+\frac{8}{9}\\=\frac{-45}{99}+\frac{88}{99}\\=\frac{-45+88}{99}\\=\frac{43}{99}\)
Oefeningengenerator wiskundeoefeningen.be 2026-04-04 16:14:18
Een site van Busleyden Atheneum Mechelen