Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{7}\right)+\left(\frac{-11}{4}\right)\\= \frac{5}{7}-\frac{11}{4}\\=\frac{20}{28}-\frac{77}{28}\\=\frac{20-77}{28}\\=\frac{-57}{28}\)
2. \(-\left(\frac{-10}{11}\right)-\left(\frac{12}{11}\right)\\= \frac{10}{11}-\frac{12}{11}\\=\frac{10-12}{11}\\=\frac{-2}{11}\)
3. \(-\left(\frac{12}{-13}\right)+\left(\frac{12}{-13}\right)\\= \frac{12}{13}-\frac{12}{13}\\=\frac{12-12}{13}\\=\frac{0}{13}\\=\frac{0}{1}\)
4. \(+\left(\frac{13}{-6}\right)-\left(\frac{-2}{5}\right)\\= \frac{-13}{6}+\frac{2}{5}\\=\frac{-65}{30}+\frac{12}{30}\\=\frac{-65+12}{30}\\=\frac{-53}{30}\)
5. \(+\left(\frac{2}{-3}\right)+\left(\frac{11}{-13}\right)\\= \frac{-2}{3}-\frac{11}{13}\\=\frac{-26}{39}-\frac{33}{39}\\=\frac{-26-33}{39}\\=\frac{-59}{39}\)
6. \(+\left(\frac{-4}{-11}\right)+\left(\frac{11}{6}\right)\\= \frac{4}{11}+\frac{11}{6}\\=\frac{24}{66}+\frac{121}{66}\\=\frac{24+121}{66}\\=\frac{145}{66}\)
7. \(+\left(\frac{-9}{-5}\right)+\left(\frac{-9}{-8}\right)\\= \frac{9}{5}+\frac{9}{8}\\=\frac{72}{40}+\frac{45}{40}\\=\frac{72+45}{40}\\=\frac{117}{40}\)
8. \(+\left(\frac{11}{-12}\right)-\left(\frac{5}{6}\right)\\= \frac{-11}{12}-\frac{5}{6}\\=\frac{-11-5}{12}\\=\frac{-16}{12}\\=\frac{-4}{3}\)
9. \(+\left(\frac{-9}{14}\right)+\left(\frac{9}{4}\right)\\= \frac{-9}{14}+\frac{9}{4}\\=\frac{-18}{28}+\frac{63}{28}\\=\frac{-18+63}{28}\\=\frac{45}{28}\)
10. \(-\left(\frac{7}{5}\right)-\left(\frac{14}{-11}\right)\\= \frac{-7}{5}+\frac{14}{11}\\=\frac{-77}{55}+\frac{70}{55}\\=\frac{-77+70}{55}\\=\frac{-7}{55}\)
11. \(+\left(\frac{7}{-9}\right)+\left(\frac{-7}{5}\right)\\= \frac{-7}{9}-\frac{7}{5}\\=\frac{-35}{45}-\frac{63}{45}\\=\frac{-35-63}{45}\\=\frac{-98}{45}\)
12. \(-\left(\frac{11}{-14}\right)+\left(\frac{7}{12}\right)\\= \frac{11}{14}+\frac{7}{12}\\=\frac{66}{84}+\frac{49}{84}\\=\frac{66+49}{84}\\=\frac{115}{84}\)