Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{-9}\right)+\left(\frac{8}{-3}\right)\\= \frac{2}{9}-\frac{8}{3}\\=\frac{2-8}{9}\\=\frac{-6}{9}\\=\frac{-2}{3}\)
2. \(+\left(\frac{15}{-11}\right)+\left(\frac{7}{-2}\right)\\= \frac{-15}{11}-\frac{7}{2}\\=\frac{-30}{22}-\frac{77}{22}\\=\frac{-30-77}{22}\\=\frac{-107}{22}\)
3. \(-\left(\frac{-14}{-3}\right)-\left(\frac{9}{10}\right)\\= \frac{-14}{3}-\frac{9}{10}\\=\frac{-140}{30}-\frac{27}{30}\\=\frac{-140-27}{30}\\=\frac{-167}{30}\)
4. \(-\left(\frac{-2}{7}\right)-\left(\frac{-5}{-7}\right)\\= \frac{2}{7}-\frac{5}{7}\\=\frac{2-5}{7}\\=\frac{-3}{7}\)
5. \(+\left(\frac{4}{9}\right)+\left(\frac{-13}{8}\right)\\= \frac{4}{9}-\frac{13}{8}\\=\frac{32}{72}-\frac{117}{72}\\=\frac{32-117}{72}\\=\frac{-85}{72}\)
6. \(-\left(\frac{-11}{5}\right)-\left(\frac{-5}{-6}\right)\\= \frac{11}{5}-\frac{5}{6}\\=\frac{66}{30}-\frac{25}{30}\\=\frac{66-25}{30}\\=\frac{41}{30}\)
7. \(+\left(\frac{3}{13}\right)-\left(\frac{11}{-7}\right)\\= \frac{3}{13}+\frac{11}{7}\\=\frac{21}{91}+\frac{143}{91}\\=\frac{21+143}{91}\\=\frac{164}{91}\)
8. \(-\left(\frac{5}{-13}\right)-\left(\frac{12}{-5}\right)\\= \frac{5}{13}+\frac{12}{5}\\=\frac{25}{65}+\frac{156}{65}\\=\frac{25+156}{65}\\=\frac{181}{65}\)
9. \(+\left(\frac{-2}{-5}\right)-\left(\frac{14}{3}\right)\\= \frac{2}{5}-\frac{14}{3}\\=\frac{6}{15}-\frac{70}{15}\\=\frac{6-70}{15}\\=\frac{-64}{15}\)
10. \(-\left(\frac{-11}{-8}\right)-\left(\frac{-3}{11}\right)\\= \frac{-11}{8}+\frac{3}{11}\\=\frac{-121}{88}+\frac{24}{88}\\=\frac{-121+24}{88}\\=\frac{-97}{88}\)
11. \(+\left(\frac{4}{-13}\right)+\left(\frac{-14}{-5}\right)\\= \frac{-4}{13}+\frac{14}{5}\\=\frac{-20}{65}+\frac{182}{65}\\=\frac{-20+182}{65}\\=\frac{162}{65}\)
12. \(-\left(\frac{13}{4}\right)+\left(\frac{8}{13}\right)\\= \frac{-13}{4}+\frac{8}{13}\\=\frac{-169}{52}+\frac{32}{52}\\=\frac{-169+32}{52}\\=\frac{-137}{52}\)