Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-7}{-12}\right)+\left(\frac{-7}{-3}\right)\\= \frac{7}{12}+\frac{7}{3}\\=\frac{7+7}{12}\\=\frac{14}{12}\\=\frac{7}{6}\)
2. \(+\left(\frac{-4}{-3}\right)+\left(\frac{9}{2}\right)\\= \frac{4}{3}+\frac{9}{2}\\=\frac{8}{6}+\frac{27}{6}\\=\frac{8+27}{6}\\=\frac{35}{6}\)
3. \(-\left(\frac{-4}{13}\right)-\left(\frac{-8}{9}\right)\\= \frac{4}{13}+\frac{8}{9}\\=\frac{36}{117}+\frac{104}{117}\\=\frac{36+104}{117}\\=\frac{140}{117}\)
4. \(-\left(\frac{-10}{-3}\right)+\left(\frac{-7}{-6}\right)\\= \frac{-10}{3}+\frac{7}{6}\\=\frac{-20}{6}+\frac{7}{6}\\=\frac{-20+7}{6}\\=\frac{-13}{6}\)
5. \(+\left(\frac{-5}{11}\right)+\left(\frac{-11}{-2}\right)\\= \frac{-5}{11}+\frac{11}{2}\\=\frac{-10}{22}+\frac{121}{22}\\=\frac{-10+121}{22}\\=\frac{111}{22}\)
6. \(-\left(\frac{-14}{9}\right)-\left(\frac{-15}{7}\right)\\= \frac{14}{9}+\frac{15}{7}\\=\frac{98}{63}+\frac{135}{63}\\=\frac{98+135}{63}\\=\frac{233}{63}\)
7. \(+\left(\frac{14}{-13}\right)+\left(\frac{-3}{-4}\right)\\= \frac{-14}{13}+\frac{3}{4}\\=\frac{-56}{52}+\frac{39}{52}\\=\frac{-56+39}{52}\\=\frac{-17}{52}\)
8. \(-\left(\frac{-2}{7}\right)-\left(\frac{11}{12}\right)\\= \frac{2}{7}-\frac{11}{12}\\=\frac{24}{84}-\frac{77}{84}\\=\frac{24-77}{84}\\=\frac{-53}{84}\)
9. \(+\left(\frac{-7}{2}\right)-\left(\frac{5}{6}\right)\\= \frac{-7}{2}-\frac{5}{6}\\=\frac{-21}{6}-\frac{5}{6}\\=\frac{-21-5}{6}\\=\frac{-26}{6}\\=\frac{-13}{3}\)
10. \(-\left(\frac{-4}{11}\right)+\left(\frac{-9}{-2}\right)\\= \frac{4}{11}+\frac{9}{2}\\=\frac{8}{22}+\frac{99}{22}\\=\frac{8+99}{22}\\=\frac{107}{22}\)
11. \(+\left(\frac{4}{3}\right)+\left(\frac{10}{3}\right)\\= \frac{4}{3}+\frac{10}{3}\\=\frac{4+10}{3}\\=\frac{14}{3}\)
12. \(-\left(\frac{5}{-6}\right)+\left(\frac{-14}{9}\right)\\= \frac{5}{6}-\frac{14}{9}\\=\frac{15}{18}-\frac{28}{18}\\=\frac{15-28}{18}\\=\frac{-13}{18}\)