Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{8}{-11}\right)-\left(\frac{-11}{7}\right)\\= \frac{-8}{11}+\frac{11}{7}\\=\frac{-56}{77}+\frac{121}{77}\\=\frac{-56+121}{77}\\=\frac{65}{77}\)
2. \(-\left(\frac{-7}{-10}\right)-\left(\frac{2}{3}\right)\\= \frac{-7}{10}-\frac{2}{3}\\=\frac{-21}{30}-\frac{20}{30}\\=\frac{-21-20}{30}\\=\frac{-41}{30}\)
3. \(+\left(\frac{15}{4}\right)+\left(\frac{-7}{-9}\right)\\= \frac{15}{4}+\frac{7}{9}\\=\frac{135}{36}+\frac{28}{36}\\=\frac{135+28}{36}\\=\frac{163}{36}\)
4. \(+\left(\frac{9}{-10}\right)-\left(\frac{15}{13}\right)\\= \frac{-9}{10}-\frac{15}{13}\\=\frac{-117}{130}-\frac{150}{130}\\=\frac{-117-150}{130}\\=\frac{-267}{130}\)
5. \(+\left(\frac{-4}{-11}\right)+\left(\frac{-5}{-14}\right)\\= \frac{4}{11}+\frac{5}{14}\\=\frac{56}{154}+\frac{55}{154}\\=\frac{56+55}{154}\\=\frac{111}{154}\)
6. \(-\left(\frac{10}{-7}\right)-\left(\frac{5}{-13}\right)\\= \frac{10}{7}+\frac{5}{13}\\=\frac{130}{91}+\frac{35}{91}\\=\frac{130+35}{91}\\=\frac{165}{91}\)
7. \(+\left(\frac{14}{11}\right)+\left(\frac{-12}{7}\right)\\= \frac{14}{11}-\frac{12}{7}\\=\frac{98}{77}-\frac{132}{77}\\=\frac{98-132}{77}\\=\frac{-34}{77}\)
8. \(+\left(\frac{-2}{5}\right)+\left(\frac{14}{3}\right)\\= \frac{-2}{5}+\frac{14}{3}\\=\frac{-6}{15}+\frac{70}{15}\\=\frac{-6+70}{15}\\=\frac{64}{15}\)
9. \(-\left(\frac{8}{5}\right)-\left(\frac{7}{9}\right)\\= \frac{-8}{5}-\frac{7}{9}\\=\frac{-72}{45}-\frac{35}{45}\\=\frac{-72-35}{45}\\=\frac{-107}{45}\)
10. \(-\left(\frac{-14}{5}\right)-\left(\frac{3}{-7}\right)\\= \frac{14}{5}+\frac{3}{7}\\=\frac{98}{35}+\frac{15}{35}\\=\frac{98+15}{35}\\=\frac{113}{35}\)
11. \(+\left(\frac{8}{13}\right)+\left(\frac{11}{4}\right)\\= \frac{8}{13}+\frac{11}{4}\\=\frac{32}{52}+\frac{143}{52}\\=\frac{32+143}{52}\\=\frac{175}{52}\)
12. \(-\left(\frac{-7}{-2}\right)-\left(\frac{5}{-6}\right)\\= \frac{-7}{2}+\frac{5}{6}\\=\frac{-21}{6}+\frac{5}{6}\\=\frac{-21+5}{6}\\=\frac{-16}{6}\\=\frac{-8}{3}\)