Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{13}\right)-\left(\frac{-6}{-5}\right)\\= \frac{-4}{13}-\frac{6}{5}\\=\frac{-20}{65}-\frac{78}{65}\\=\frac{-20-78}{65}\\=\frac{-98}{65}\)
2. \(+\left(\frac{14}{-3}\right)+\left(\frac{8}{-5}\right)\\= \frac{-14}{3}-\frac{8}{5}\\=\frac{-70}{15}-\frac{24}{15}\\=\frac{-70-24}{15}\\=\frac{-94}{15}\)
3. \(+\left(\frac{2}{-5}\right)-\left(\frac{-8}{-13}\right)\\= \frac{-2}{5}-\frac{8}{13}\\=\frac{-26}{65}-\frac{40}{65}\\=\frac{-26-40}{65}\\=\frac{-66}{65}\)
4. \(-\left(\frac{-15}{-11}\right)+\left(\frac{5}{-14}\right)\\= \frac{-15}{11}-\frac{5}{14}\\=\frac{-210}{154}-\frac{55}{154}\\=\frac{-210-55}{154}\\=\frac{-265}{154}\)
5. \(-\left(\frac{-7}{12}\right)-\left(\frac{-9}{-8}\right)\\= \frac{7}{12}-\frac{9}{8}\\=\frac{14}{24}-\frac{27}{24}\\=\frac{14-27}{24}\\=\frac{-13}{24}\)
6. \(+\left(\frac{11}{3}\right)-\left(\frac{-7}{-15}\right)\\= \frac{11}{3}-\frac{7}{15}\\=\frac{55}{15}-\frac{7}{15}\\=\frac{55-7}{15}\\=\frac{48}{15}\\=\frac{16}{5}\)
7. \(+\left(\frac{-7}{8}\right)+\left(\frac{-7}{-13}\right)\\= \frac{-7}{8}+\frac{7}{13}\\=\frac{-91}{104}+\frac{56}{104}\\=\frac{-91+56}{104}\\=\frac{-35}{104}\)
8. \(-\left(\frac{3}{-7}\right)+\left(\frac{5}{-8}\right)\\= \frac{3}{7}-\frac{5}{8}\\=\frac{24}{56}-\frac{35}{56}\\=\frac{24-35}{56}\\=\frac{-11}{56}\)
9. \(+\left(\frac{7}{-2}\right)+\left(\frac{-14}{13}\right)\\= \frac{-7}{2}-\frac{14}{13}\\=\frac{-91}{26}-\frac{28}{26}\\=\frac{-91-28}{26}\\=\frac{-119}{26}\)
10. \(-\left(\frac{2}{3}\right)+\left(\frac{5}{2}\right)\\= \frac{-2}{3}+\frac{5}{2}\\=\frac{-4}{6}+\frac{15}{6}\\=\frac{-4+15}{6}\\=\frac{11}{6}\)
11. \(-\left(\frac{11}{-15}\right)+\left(\frac{3}{-7}\right)\\= \frac{11}{15}-\frac{3}{7}\\=\frac{77}{105}-\frac{45}{105}\\=\frac{77-45}{105}\\=\frac{32}{105}\)
12. \(-\left(\frac{-14}{-5}\right)+\left(\frac{6}{-7}\right)\\= \frac{-14}{5}-\frac{6}{7}\\=\frac{-98}{35}-\frac{30}{35}\\=\frac{-98-30}{35}\\=\frac{-128}{35}\)