Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-10}\right)-\left(\frac{-8}{3}\right)\\= \frac{-3}{10}+\frac{8}{3}\\=\frac{-9}{30}+\frac{80}{30}\\=\frac{-9+80}{30}\\=\frac{71}{30}\)
2. \(+\left(\frac{5}{-12}\right)-\left(\frac{4}{11}\right)\\= \frac{-5}{12}-\frac{4}{11}\\=\frac{-55}{132}-\frac{48}{132}\\=\frac{-55-48}{132}\\=\frac{-103}{132}\)
3. \(-\left(\frac{13}{-2}\right)+\left(\frac{6}{13}\right)\\= \frac{13}{2}+\frac{6}{13}\\=\frac{169}{26}+\frac{12}{26}\\=\frac{169+12}{26}\\=\frac{181}{26}\)
4. \(+\left(\frac{5}{-3}\right)+\left(\frac{5}{-9}\right)\\= \frac{-5}{3}-\frac{5}{9}\\=\frac{-15}{9}-\frac{5}{9}\\=\frac{-15-5}{9}\\=\frac{-20}{9}\)
5. \(+\left(\frac{-8}{-9}\right)-\left(\frac{11}{6}\right)\\= \frac{8}{9}-\frac{11}{6}\\=\frac{16}{18}-\frac{33}{18}\\=\frac{16-33}{18}\\=\frac{-17}{18}\)
6. \(+\left(\frac{5}{2}\right)+\left(\frac{15}{-8}\right)\\= \frac{5}{2}-\frac{15}{8}\\=\frac{20}{8}-\frac{15}{8}\\=\frac{20-15}{8}\\=\frac{5}{8}\)
7. \(+\left(\frac{-13}{-4}\right)-\left(\frac{7}{-2}\right)\\= \frac{13}{4}+\frac{7}{2}\\=\frac{13+7}{4}\\=\frac{20}{4}\\=\frac{5}{1}\)
8. \(+\left(\frac{11}{-8}\right)+\left(\frac{-8}{5}\right)\\= \frac{-11}{8}-\frac{8}{5}\\=\frac{-55}{40}-\frac{64}{40}\\=\frac{-55-64}{40}\\=\frac{-119}{40}\)
9. \(+\left(\frac{-6}{-7}\right)-\left(\frac{-14}{-3}\right)\\= \frac{6}{7}-\frac{14}{3}\\=\frac{18}{21}-\frac{98}{21}\\=\frac{18-98}{21}\\=\frac{-80}{21}\)
10. \(+\left(\frac{-12}{-13}\right)-\left(\frac{-3}{-7}\right)\\= \frac{12}{13}-\frac{3}{7}\\=\frac{84}{91}-\frac{39}{91}\\=\frac{84-39}{91}\\=\frac{45}{91}\)
11. \(+\left(\frac{-11}{-2}\right)+\left(\frac{5}{-2}\right)\\= \frac{11}{2}-\frac{5}{2}\\=\frac{11-5}{2}\\=\frac{6}{2}\\=\frac{3}{1}\)
12. \(+\left(\frac{-4}{11}\right)-\left(\frac{-12}{5}\right)\\= \frac{-4}{11}+\frac{12}{5}\\=\frac{-20}{55}+\frac{132}{55}\\=\frac{-20+132}{55}\\=\frac{112}{55}\)