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. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-8}{-9}\right)\)

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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. \(-\left(\frac{-5}{-11}\right)+\left(\frac{-8}{-9}\right)\\= \frac{-5}{11}+\frac{8}{9}\\=\frac{-45}{99}+\frac{88}{99}\\=\frac{-45+88}{99}\\=\frac{43}{99}\)