Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(-\left(\frac{12}{11}\right)+\left(\frac{6}{-11}\right)\)
2. \(+\left(\frac{-7}{-10}\right)-\left(\frac{-5}{-2}\right)\)
3. \(-\left(\frac{15}{-8}\right)-\left(\frac{-5}{-7}\right)\)
4. \(+\left(\frac{6}{-11}\right)-\left(\frac{-14}{5}\right)\)
5. \(+\left(\frac{-6}{13}\right)-\left(\frac{15}{-4}\right)\)
6. \(+\left(\frac{-6}{5}\right)+\left(\frac{-12}{5}\right)\)
7. \(+\left(\frac{6}{5}\right)-\left(\frac{-8}{-5}\right)\)
8. \(+\left(\frac{-10}{7}\right)+\left(\frac{-8}{-13}\right)\)
9. \(+\left(\frac{15}{2}\right)-\left(\frac{-13}{-11}\right)\)
10. \(-\left(\frac{6}{-5}\right)-\left(\frac{-6}{-5}\right)\)
11. \(+\left(\frac{14}{13}\right)-\left(\frac{-14}{-5}\right)\)
12. \(-\left(\frac{8}{-9}\right)-\left(\frac{12}{-11}\right)\)

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Bereken

Verbetersleutel

1. \(-\left(\frac{12}{11}\right)+\left(\frac{6}{-11}\right)\\= \frac{-12}{11}-\frac{6}{11}\\=\frac{-12-6}{11}\\=\frac{-18}{11}\)
2. \(+\left(\frac{-7}{-10}\right)-\left(\frac{-5}{-2}\right)\\= \frac{7}{10}-\frac{5}{2}\\=\frac{7-5}{10}\\=\frac{2}{10}\\=\frac{1}{5}\)
3. \(-\left(\frac{15}{-8}\right)-\left(\frac{-5}{-7}\right)\\= \frac{15}{8}-\frac{5}{7}\\=\frac{105}{56}-\frac{40}{56}\\=\frac{105-40}{56}\\=\frac{65}{56}\)
4. \(+\left(\frac{6}{-11}\right)-\left(\frac{-14}{5}\right)\\= \frac{-6}{11}+\frac{14}{5}\\=\frac{-30}{55}+\frac{154}{55}\\=\frac{-30+154}{55}\\=\frac{124}{55}\)
5. \(+\left(\frac{-6}{13}\right)-\left(\frac{15}{-4}\right)\\= \frac{-6}{13}+\frac{15}{4}\\=\frac{-24}{52}+\frac{195}{52}\\=\frac{-24+195}{52}\\=\frac{171}{52}\)
6. \(+\left(\frac{-6}{5}\right)+\left(\frac{-12}{5}\right)\\= \frac{-6}{5}-\frac{12}{5}\\=\frac{-6-12}{5}\\=\frac{-18}{5}\)
7. \(+\left(\frac{6}{5}\right)-\left(\frac{-8}{-5}\right)\\= \frac{6}{5}-\frac{8}{5}\\=\frac{6-8}{5}\\=\frac{-2}{5}\)
8. \(+\left(\frac{-10}{7}\right)+\left(\frac{-8}{-13}\right)\\= \frac{-10}{7}+\frac{8}{13}\\=\frac{-130}{91}+\frac{56}{91}\\=\frac{-130+56}{91}\\=\frac{-74}{91}\)
9. \(+\left(\frac{15}{2}\right)-\left(\frac{-13}{-11}\right)\\= \frac{15}{2}-\frac{13}{11}\\=\frac{165}{22}-\frac{26}{22}\\=\frac{165-26}{22}\\=\frac{139}{22}\)
10. \(-\left(\frac{6}{-5}\right)-\left(\frac{-6}{-5}\right)\\= \frac{6}{5}-\frac{6}{5}\\=\frac{6-6}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
11. \(+\left(\frac{14}{13}\right)-\left(\frac{-14}{-5}\right)\\= \frac{14}{13}-\frac{14}{5}\\=\frac{70}{65}-\frac{182}{65}\\=\frac{70-182}{65}\\=\frac{-112}{65}\)
12. \(-\left(\frac{8}{-9}\right)-\left(\frac{12}{-11}\right)\\= \frac{8}{9}+\frac{12}{11}\\=\frac{88}{99}+\frac{108}{99}\\=\frac{88+108}{99}\\=\frac{196}{99}\)