Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-8}\right)+\left(\frac{5}{-8}\right)\\= \frac{-5}{8}-\frac{5}{8}\\=\frac{-5-5}{8}\\=\frac{-10}{8}\\=\frac{-5}{4}\)
2. \(+\left(\frac{-6}{-13}\right)-\left(\frac{7}{13}\right)\\= \frac{6}{13}-\frac{7}{13}\\=\frac{6-7}{13}\\=\frac{-1}{13}\)
3. \(+\left(\frac{9}{13}\right)+\left(\frac{5}{-3}\right)\\= \frac{9}{13}-\frac{5}{3}\\=\frac{27}{39}-\frac{65}{39}\\=\frac{27-65}{39}\\=\frac{-38}{39}\)
4. \(-\left(\frac{4}{-11}\right)+\left(\frac{4}{-3}\right)\\= \frac{4}{11}-\frac{4}{3}\\=\frac{12}{33}-\frac{44}{33}\\=\frac{12-44}{33}\\=\frac{-32}{33}\)
5. \(-\left(\frac{-4}{-3}\right)-\left(\frac{5}{-7}\right)\\= \frac{-4}{3}+\frac{5}{7}\\=\frac{-28}{21}+\frac{15}{21}\\=\frac{-28+15}{21}\\=\frac{-13}{21}\)
6. \(-\left(\frac{8}{13}\right)+\left(\frac{8}{3}\right)\\= \frac{-8}{13}+\frac{8}{3}\\=\frac{-24}{39}+\frac{104}{39}\\=\frac{-24+104}{39}\\=\frac{80}{39}\)
7. \(-\left(\frac{5}{11}\right)-\left(\frac{-4}{-13}\right)\\= \frac{-5}{11}-\frac{4}{13}\\=\frac{-65}{143}-\frac{44}{143}\\=\frac{-65-44}{143}\\=\frac{-109}{143}\)
8. \(+\left(\frac{6}{-5}\right)+\left(\frac{4}{13}\right)\\= \frac{-6}{5}+\frac{4}{13}\\=\frac{-78}{65}+\frac{20}{65}\\=\frac{-78+20}{65}\\=\frac{-58}{65}\)
9. \(+\left(\frac{2}{-11}\right)-\left(\frac{11}{2}\right)\\= \frac{-2}{11}-\frac{11}{2}\\=\frac{-4}{22}-\frac{121}{22}\\=\frac{-4-121}{22}\\=\frac{-125}{22}\)
10. \(+\left(\frac{11}{-8}\right)-\left(\frac{-15}{-11}\right)\\= \frac{-11}{8}-\frac{15}{11}\\=\frac{-121}{88}-\frac{120}{88}\\=\frac{-121-120}{88}\\=\frac{-241}{88}\)
11. \(+\left(\frac{-12}{13}\right)+\left(\frac{4}{11}\right)\\= \frac{-12}{13}+\frac{4}{11}\\=\frac{-132}{143}+\frac{52}{143}\\=\frac{-132+52}{143}\\=\frac{-80}{143}\)
12. \(+\left(\frac{-7}{-4}\right)-\left(\frac{-8}{-11}\right)\\= \frac{7}{4}-\frac{8}{11}\\=\frac{77}{44}-\frac{32}{44}\\=\frac{77-32}{44}\\=\frac{45}{44}\)