Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{-11}\right)+\left(\frac{-7}{8}\right)\\= \frac{-2}{11}-\frac{7}{8}\\=\frac{-16}{88}-\frac{77}{88}\\=\frac{-16-77}{88}\\=\frac{-93}{88}\)
2. \(-\left(\frac{6}{5}\right)-\left(\frac{14}{5}\right)\\= \frac{-6}{5}-\frac{14}{5}\\=\frac{-6-14}{5}\\=\frac{-20}{5}\\=\frac{-4}{1}\)
3. \(+\left(\frac{11}{-12}\right)-\left(\frac{3}{-5}\right)\\= \frac{-11}{12}+\frac{3}{5}\\=\frac{-55}{60}+\frac{36}{60}\\=\frac{-55+36}{60}\\=\frac{-19}{60}\)
4. \(-\left(\frac{8}{-11}\right)-\left(\frac{-4}{9}\right)\\= \frac{8}{11}+\frac{4}{9}\\=\frac{72}{99}+\frac{44}{99}\\=\frac{72+44}{99}\\=\frac{116}{99}\)
5. \(-\left(\frac{11}{10}\right)-\left(\frac{4}{3}\right)\\= \frac{-11}{10}-\frac{4}{3}\\=\frac{-33}{30}-\frac{40}{30}\\=\frac{-33-40}{30}\\=\frac{-73}{30}\)
6. \(+\left(\frac{-6}{-13}\right)-\left(\frac{12}{5}\right)\\= \frac{6}{13}-\frac{12}{5}\\=\frac{30}{65}-\frac{156}{65}\\=\frac{30-156}{65}\\=\frac{-126}{65}\)
7. \(-\left(\frac{13}{7}\right)+\left(\frac{-8}{3}\right)\\= \frac{-13}{7}-\frac{8}{3}\\=\frac{-39}{21}-\frac{56}{21}\\=\frac{-39-56}{21}\\=\frac{-95}{21}\)
8. \(-\left(\frac{10}{-7}\right)+\left(\frac{3}{2}\right)\\= \frac{10}{7}+\frac{3}{2}\\=\frac{20}{14}+\frac{21}{14}\\=\frac{20+21}{14}\\=\frac{41}{14}\)
9. \(-\left(\frac{2}{13}\right)-\left(\frac{5}{-7}\right)\\= \frac{-2}{13}+\frac{5}{7}\\=\frac{-14}{91}+\frac{65}{91}\\=\frac{-14+65}{91}\\=\frac{51}{91}\)
10. \(+\left(\frac{13}{-7}\right)+\left(\frac{-3}{13}\right)\\= \frac{-13}{7}-\frac{3}{13}\\=\frac{-169}{91}-\frac{21}{91}\\=\frac{-169-21}{91}\\=\frac{-190}{91}\)
11. \(-\left(\frac{9}{14}\right)+\left(\frac{-3}{10}\right)\\= \frac{-9}{14}-\frac{3}{10}\\=\frac{-45}{70}-\frac{21}{70}\\=\frac{-45-21}{70}\\=\frac{-66}{70}\\=\frac{-33}{35}\)
12. \(+\left(\frac{12}{11}\right)-\left(\frac{-6}{11}\right)\\= \frac{12}{11}+\frac{6}{11}\\=\frac{12+6}{11}\\=\frac{18}{11}\)