Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{9}\right)-\left(\frac{-14}{-11}\right)\\= \frac{-5}{9}-\frac{14}{11}\\=\frac{-55}{99}-\frac{126}{99}\\=\frac{-55-126}{99}\\=\frac{-181}{99}\)
2. \(+\left(\frac{8}{9}\right)-\left(\frac{-12}{5}\right)\\= \frac{8}{9}+\frac{12}{5}\\=\frac{40}{45}+\frac{108}{45}\\=\frac{40+108}{45}\\=\frac{148}{45}\)
3. \(-\left(\frac{-2}{5}\right)+\left(\frac{-3}{-13}\right)\\= \frac{2}{5}+\frac{3}{13}\\=\frac{26}{65}+\frac{15}{65}\\=\frac{26+15}{65}\\=\frac{41}{65}\)
4. \(-\left(\frac{-14}{13}\right)+\left(\frac{-2}{-3}\right)\\= \frac{14}{13}+\frac{2}{3}\\=\frac{42}{39}+\frac{26}{39}\\=\frac{42+26}{39}\\=\frac{68}{39}\)
5. \(-\left(\frac{6}{11}\right)+\left(\frac{-9}{7}\right)\\= \frac{-6}{11}-\frac{9}{7}\\=\frac{-42}{77}-\frac{99}{77}\\=\frac{-42-99}{77}\\=\frac{-141}{77}\)
6. \(-\left(\frac{13}{7}\right)-\left(\frac{-8}{7}\right)\\= \frac{-13}{7}+\frac{8}{7}\\=\frac{-13+8}{7}\\=\frac{-5}{7}\)
7. \(+\left(\frac{-11}{4}\right)-\left(\frac{8}{13}\right)\\= \frac{-11}{4}-\frac{8}{13}\\=\frac{-143}{52}-\frac{32}{52}\\=\frac{-143-32}{52}\\=\frac{-175}{52}\)
8. \(-\left(\frac{-14}{-9}\right)+\left(\frac{-4}{-7}\right)\\= \frac{-14}{9}+\frac{4}{7}\\=\frac{-98}{63}+\frac{36}{63}\\=\frac{-98+36}{63}\\=\frac{-62}{63}\)
9. \(-\left(\frac{-5}{14}\right)+\left(\frac{9}{2}\right)\\= \frac{5}{14}+\frac{9}{2}\\=\frac{5+9}{14}\\=\frac{14}{14}\\=\frac{1}{1}\)
10. \(-\left(\frac{9}{13}\right)-\left(\frac{2}{-3}\right)\\= \frac{-9}{13}+\frac{2}{3}\\=\frac{-27}{39}+\frac{26}{39}\\=\frac{-27+26}{39}\\=\frac{-1}{39}\)
11. \(+\left(\frac{-3}{-10}\right)-\left(\frac{11}{-8}\right)\\= \frac{3}{10}+\frac{11}{8}\\=\frac{12}{40}+\frac{55}{40}\\=\frac{12+55}{40}\\=\frac{67}{40}\)
12. \(+\left(\frac{-6}{-7}\right)-\left(\frac{-6}{5}\right)\\= \frac{6}{7}+\frac{6}{5}\\=\frac{30}{35}+\frac{42}{35}\\=\frac{30+42}{35}\\=\frac{72}{35}\)