Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-6}{5}\right)\\= \frac{-6}{5}+\frac{6}{5}\\=\frac{-6+6}{5}\\=\frac{0}{5}\\=\frac{0}{1}\)
2. \(-\left(\frac{2}{-3}\right)+\left(\frac{5}{2}\right)\\= \frac{2}{3}+\frac{5}{2}\\=\frac{4}{6}+\frac{15}{6}\\=\frac{4+15}{6}\\=\frac{19}{6}\)
3. \(+\left(\frac{-10}{13}\right)+\left(\frac{-2}{5}\right)\\= \frac{-10}{13}-\frac{2}{5}\\=\frac{-50}{65}-\frac{26}{65}\\=\frac{-50-26}{65}\\=\frac{-76}{65}\)
4. \(+\left(\frac{3}{-8}\right)+\left(\frac{10}{-7}\right)\\= \frac{-3}{8}-\frac{10}{7}\\=\frac{-21}{56}-\frac{80}{56}\\=\frac{-21-80}{56}\\=\frac{-101}{56}\)
5. \(+\left(\frac{-2}{-3}\right)-\left(\frac{5}{-8}\right)\\= \frac{2}{3}+\frac{5}{8}\\=\frac{16}{24}+\frac{15}{24}\\=\frac{16+15}{24}\\=\frac{31}{24}\)
6. \(+\left(\frac{11}{5}\right)+\left(\frac{-4}{3}\right)\\= \frac{11}{5}-\frac{4}{3}\\=\frac{33}{15}-\frac{20}{15}\\=\frac{33-20}{15}\\=\frac{13}{15}\)
7. \(+\left(\frac{10}{-7}\right)+\left(\frac{-12}{7}\right)\\= \frac{-10}{7}-\frac{12}{7}\\=\frac{-10-12}{7}\\=\frac{-22}{7}\)
8. \(+\left(\frac{10}{-7}\right)-\left(\frac{-5}{14}\right)\\= \frac{-10}{7}+\frac{5}{14}\\=\frac{-20}{14}+\frac{5}{14}\\=\frac{-20+5}{14}\\=\frac{-15}{14}\)
9. \(+\left(\frac{6}{11}\right)-\left(\frac{-4}{-3}\right)\\= \frac{6}{11}-\frac{4}{3}\\=\frac{18}{33}-\frac{44}{33}\\=\frac{18-44}{33}\\=\frac{-26}{33}\)
10. \(-\left(\frac{14}{9}\right)+\left(\frac{-11}{12}\right)\\= \frac{-14}{9}-\frac{11}{12}\\=\frac{-56}{36}-\frac{33}{36}\\=\frac{-56-33}{36}\\=\frac{-89}{36}\)
11. \(+\left(\frac{-9}{-8}\right)+\left(\frac{8}{-9}\right)\\= \frac{9}{8}-\frac{8}{9}\\=\frac{81}{72}-\frac{64}{72}\\=\frac{81-64}{72}\\=\frac{17}{72}\)
12. \(+\left(\frac{-14}{3}\right)-\left(\frac{5}{-4}\right)\\= \frac{-14}{3}+\frac{5}{4}\\=\frac{-56}{12}+\frac{15}{12}\\=\frac{-56+15}{12}\\=\frac{-41}{12}\)