Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{6}{-5}\right)-\left(\frac{-12}{11}\right)\\= \frac{-6}{5}+\frac{12}{11}\\=\frac{-66}{55}+\frac{60}{55}\\=\frac{-66+60}{55}\\=\frac{-6}{55}\)
2. \(+\left(\frac{14}{11}\right)+\left(\frac{9}{7}\right)\\= \frac{14}{11}+\frac{9}{7}\\=\frac{98}{77}+\frac{99}{77}\\=\frac{98+99}{77}\\=\frac{197}{77}\)
3. \(-\left(\frac{14}{3}\right)+\left(\frac{14}{3}\right)\\= \frac{-14}{3}+\frac{14}{3}\\=\frac{-14+14}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
4. \(-\left(\frac{11}{-8}\right)+\left(\frac{-12}{-11}\right)\\= \frac{11}{8}+\frac{12}{11}\\=\frac{121}{88}+\frac{96}{88}\\=\frac{121+96}{88}\\=\frac{217}{88}\)
5. \(+\left(\frac{4}{-5}\right)+\left(\frac{14}{-9}\right)\\= \frac{-4}{5}-\frac{14}{9}\\=\frac{-36}{45}-\frac{70}{45}\\=\frac{-36-70}{45}\\=\frac{-106}{45}\)
6. \(-\left(\frac{-13}{5}\right)+\left(\frac{-3}{13}\right)\\= \frac{13}{5}-\frac{3}{13}\\=\frac{169}{65}-\frac{15}{65}\\=\frac{169-15}{65}\\=\frac{154}{65}\)
7. \(+\left(\frac{-3}{-2}\right)+\left(\frac{12}{7}\right)\\= \frac{3}{2}+\frac{12}{7}\\=\frac{21}{14}+\frac{24}{14}\\=\frac{21+24}{14}\\=\frac{45}{14}\)
8. \(+\left(\frac{6}{-11}\right)+\left(\frac{2}{3}\right)\\= \frac{-6}{11}+\frac{2}{3}\\=\frac{-18}{33}+\frac{22}{33}\\=\frac{-18+22}{33}\\=\frac{4}{33}\)
9. \(-\left(\frac{-6}{7}\right)+\left(\frac{11}{-5}\right)\\= \frac{6}{7}-\frac{11}{5}\\=\frac{30}{35}-\frac{77}{35}\\=\frac{30-77}{35}\\=\frac{-47}{35}\)
10. \(+\left(\frac{-2}{13}\right)-\left(\frac{3}{4}\right)\\= \frac{-2}{13}-\frac{3}{4}\\=\frac{-8}{52}-\frac{39}{52}\\=\frac{-8-39}{52}\\=\frac{-47}{52}\)
11. \(-\left(\frac{14}{-9}\right)+\left(\frac{14}{11}\right)\\= \frac{14}{9}+\frac{14}{11}\\=\frac{154}{99}+\frac{126}{99}\\=\frac{154+126}{99}\\=\frac{280}{99}\)
12. \(+\left(\frac{4}{-11}\right)-\left(\frac{9}{-8}\right)\\= \frac{-4}{11}+\frac{9}{8}\\=\frac{-32}{88}+\frac{99}{88}\\=\frac{-32+99}{88}\\=\frac{67}{88}\)