Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-2}{-3}\right)+\left(\frac{9}{-7}\right)\\= \frac{2}{3}-\frac{9}{7}\\=\frac{14}{21}-\frac{27}{21}\\=\frac{14-27}{21}\\=\frac{-13}{21}\)
2. \(+\left(\frac{10}{-3}\right)-\left(\frac{9}{-14}\right)\\= \frac{-10}{3}+\frac{9}{14}\\=\frac{-140}{42}+\frac{27}{42}\\=\frac{-140+27}{42}\\=\frac{-113}{42}\)
3. \(+\left(\frac{9}{13}\right)+\left(\frac{-8}{-9}\right)\\= \frac{9}{13}+\frac{8}{9}\\=\frac{81}{117}+\frac{104}{117}\\=\frac{81+104}{117}\\=\frac{185}{117}\)
4. \(+\left(\frac{-14}{-13}\right)-\left(\frac{6}{-13}\right)\\= \frac{14}{13}+\frac{6}{13}\\=\frac{14+6}{13}\\=\frac{20}{13}\)
5. \(-\left(\frac{-12}{5}\right)+\left(\frac{-7}{11}\right)\\= \frac{12}{5}-\frac{7}{11}\\=\frac{132}{55}-\frac{35}{55}\\=\frac{132-35}{55}\\=\frac{97}{55}\)
6. \(+\left(\frac{11}{5}\right)-\left(\frac{12}{11}\right)\\= \frac{11}{5}-\frac{12}{11}\\=\frac{121}{55}-\frac{60}{55}\\=\frac{121-60}{55}\\=\frac{61}{55}\)
7. \(+\left(\frac{11}{-9}\right)-\left(\frac{14}{-3}\right)\\= \frac{-11}{9}+\frac{14}{3}\\=\frac{-11+14}{9}\\=\frac{3}{9}\\=\frac{1}{3}\)
8. \(+\left(\frac{10}{-11}\right)+\left(\frac{-15}{-2}\right)\\= \frac{-10}{11}+\frac{15}{2}\\=\frac{-20}{22}+\frac{165}{22}\\=\frac{-20+165}{22}\\=\frac{145}{22}\)
9. \(-\left(\frac{-13}{3}\right)+\left(\frac{2}{-7}\right)\\= \frac{13}{3}-\frac{2}{7}\\=\frac{91}{21}-\frac{6}{21}\\=\frac{91-6}{21}\\=\frac{85}{21}\)
10. \(+\left(\frac{-15}{-14}\right)+\left(\frac{-15}{-4}\right)\\= \frac{15}{14}+\frac{15}{4}\\=\frac{30}{28}+\frac{105}{28}\\=\frac{30+105}{28}\\=\frac{135}{28}\)
11. \(-\left(\frac{13}{9}\right)+\left(\frac{4}{11}\right)\\= \frac{-13}{9}+\frac{4}{11}\\=\frac{-143}{99}+\frac{36}{99}\\=\frac{-143+36}{99}\\=\frac{-107}{99}\)
12. \(-\left(\frac{-8}{-13}\right)+\left(\frac{-3}{2}\right)\\= \frac{-8}{13}-\frac{3}{2}\\=\frac{-16}{26}-\frac{39}{26}\\=\frac{-16-39}{26}\\=\frac{-55}{26}\)