Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{-11}\right)-\left(\frac{-3}{-4}\right)\\= \frac{-5}{11}-\frac{3}{4}\\=\frac{-20}{44}-\frac{33}{44}\\=\frac{-20-33}{44}\\=\frac{-53}{44}\)
2. \(+\left(\frac{-11}{-2}\right)+\left(\frac{-9}{13}\right)\\= \frac{11}{2}-\frac{9}{13}\\=\frac{143}{26}-\frac{18}{26}\\=\frac{143-18}{26}\\=\frac{125}{26}\)
3. \(-\left(\frac{-14}{-3}\right)+\left(\frac{10}{-9}\right)\\= \frac{-14}{3}-\frac{10}{9}\\=\frac{-42}{9}-\frac{10}{9}\\=\frac{-42-10}{9}\\=\frac{-52}{9}\)
4. \(+\left(\frac{-5}{14}\right)-\left(\frac{3}{14}\right)\\= \frac{-5}{14}-\frac{3}{14}\\=\frac{-5-3}{14}\\=\frac{-8}{14}\\=\frac{-4}{7}\)
5. \(+\left(\frac{-8}{-7}\right)-\left(\frac{-10}{-7}\right)\\= \frac{8}{7}-\frac{10}{7}\\=\frac{8-10}{7}\\=\frac{-2}{7}\)
6. \(-\left(\frac{-14}{5}\right)-\left(\frac{-2}{3}\right)\\= \frac{14}{5}+\frac{2}{3}\\=\frac{42}{15}+\frac{10}{15}\\=\frac{42+10}{15}\\=\frac{52}{15}\)
7. \(-\left(\frac{15}{-7}\right)-\left(\frac{-6}{-7}\right)\\= \frac{15}{7}-\frac{6}{7}\\=\frac{15-6}{7}\\=\frac{9}{7}\)
8. \(+\left(\frac{2}{11}\right)-\left(\frac{8}{-3}\right)\\= \frac{2}{11}+\frac{8}{3}\\=\frac{6}{33}+\frac{88}{33}\\=\frac{6+88}{33}\\=\frac{94}{33}\)
9. \(+\left(\frac{3}{11}\right)+\left(\frac{-13}{-2}\right)\\= \frac{3}{11}+\frac{13}{2}\\=\frac{6}{22}+\frac{143}{22}\\=\frac{6+143}{22}\\=\frac{149}{22}\)
10. \(-\left(\frac{10}{7}\right)-\left(\frac{-13}{-14}\right)\\= \frac{-10}{7}-\frac{13}{14}\\=\frac{-20}{14}-\frac{13}{14}\\=\frac{-20-13}{14}\\=\frac{-33}{14}\)
11. \(+\left(\frac{13}{4}\right)-\left(\frac{11}{3}\right)\\= \frac{13}{4}-\frac{11}{3}\\=\frac{39}{12}-\frac{44}{12}\\=\frac{39-44}{12}\\=\frac{-5}{12}\)
12. \(-\left(\frac{-7}{-11}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-7}{11}-\frac{4}{3}\\=\frac{-21}{33}-\frac{44}{33}\\=\frac{-21-44}{33}\\=\frac{-65}{33}\)