Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{11}\right)-\left(\frac{11}{4}\right)\\= \frac{8}{11}-\frac{11}{4}\\=\frac{32}{44}-\frac{121}{44}\\=\frac{32-121}{44}\\=\frac{-89}{44}\)
2. \(-\left(\frac{-4}{-9}\right)-\left(\frac{-2}{3}\right)\\= \frac{-4}{9}+\frac{2}{3}\\=\frac{-4+2}{9}\\=\frac{-2}{9}\)
3. \(-\left(\frac{13}{2}\right)+\left(\frac{14}{-3}\right)\\= \frac{-13}{2}-\frac{14}{3}\\=\frac{-39}{6}-\frac{28}{6}\\=\frac{-39-28}{6}\\=\frac{-67}{6}\)
4. \(+\left(\frac{-13}{14}\right)-\left(\frac{6}{-5}\right)\\= \frac{-13}{14}+\frac{6}{5}\\=\frac{-65}{70}+\frac{84}{70}\\=\frac{-65+84}{70}\\=\frac{19}{70}\)
5. \(-\left(\frac{-5}{-3}\right)-\left(\frac{-9}{4}\right)\\= \frac{-5}{3}+\frac{9}{4}\\=\frac{-20}{12}+\frac{27}{12}\\=\frac{-20+27}{12}\\=\frac{7}{12}\)
6. \(+\left(\frac{-14}{-3}\right)-\left(\frac{-11}{12}\right)\\= \frac{14}{3}+\frac{11}{12}\\=\frac{56}{12}+\frac{11}{12}\\=\frac{56+11}{12}\\=\frac{67}{12}\)
7. \(-\left(\frac{-10}{-9}\right)+\left(\frac{2}{-3}\right)\\= \frac{-10}{9}-\frac{2}{3}\\=\frac{-10-2}{9}\\=\frac{-12}{9}\\=\frac{-4}{3}\)
8. \(-\left(\frac{-13}{-12}\right)+\left(\frac{6}{-13}\right)\\= \frac{-13}{12}-\frac{6}{13}\\=\frac{-169}{156}-\frac{72}{156}\\=\frac{-169-72}{156}\\=\frac{-241}{156}\)
9. \(-\left(\frac{-13}{11}\right)+\left(\frac{6}{11}\right)\\= \frac{13}{11}+\frac{6}{11}\\=\frac{13+6}{11}\\=\frac{19}{11}\)
10. \(-\left(\frac{-7}{-12}\right)+\left(\frac{5}{2}\right)\\= \frac{-7}{12}+\frac{5}{2}\\=\frac{-7+5}{12}\\=\frac{-2}{12}\\=\frac{-1}{6}\)
11. \(-\left(\frac{-2}{-3}\right)-\left(\frac{-3}{4}\right)\\= \frac{-2}{3}+\frac{3}{4}\\=\frac{-8}{12}+\frac{9}{12}\\=\frac{-8+9}{12}\\=\frac{1}{12}\)
12. \(-\left(\frac{-13}{11}\right)+\left(\frac{7}{13}\right)\\= \frac{13}{11}+\frac{7}{13}\\=\frac{169}{143}+\frac{77}{143}\\=\frac{169+77}{143}\\=\frac{246}{143}\)