Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{15}{-8}\right)-\left(\frac{-13}{4}\right)\\= \frac{15}{8}+\frac{13}{4}\\=\frac{15+13}{8}\\=\frac{28}{8}\\=\frac{7}{2}\)
2. \(-\left(\frac{10}{13}\right)+\left(\frac{7}{2}\right)\\= \frac{-10}{13}+\frac{7}{2}\\=\frac{-20}{26}+\frac{91}{26}\\=\frac{-20+91}{26}\\=\frac{71}{26}\)
3. \(-\left(\frac{-7}{5}\right)-\left(\frac{-3}{13}\right)\\= \frac{7}{5}+\frac{3}{13}\\=\frac{91}{65}+\frac{15}{65}\\=\frac{91+15}{65}\\=\frac{106}{65}\)
4. \(-\left(\frac{9}{10}\right)-\left(\frac{-3}{13}\right)\\= \frac{-9}{10}+\frac{3}{13}\\=\frac{-117}{130}+\frac{30}{130}\\=\frac{-117+30}{130}\\=\frac{-87}{130}\)
5. \(-\left(\frac{-12}{-11}\right)-\left(\frac{-13}{-2}\right)\\= \frac{-12}{11}-\frac{13}{2}\\=\frac{-24}{22}-\frac{143}{22}\\=\frac{-24-143}{22}\\=\frac{-167}{22}\)
6. \(-\left(\frac{5}{2}\right)-\left(\frac{-14}{9}\right)\\= \frac{-5}{2}+\frac{14}{9}\\=\frac{-45}{18}+\frac{28}{18}\\=\frac{-45+28}{18}\\=\frac{-17}{18}\)
7. \(+\left(\frac{-13}{-12}\right)-\left(\frac{10}{-7}\right)\\= \frac{13}{12}+\frac{10}{7}\\=\frac{91}{84}+\frac{120}{84}\\=\frac{91+120}{84}\\=\frac{211}{84}\)
8. \(-\left(\frac{2}{-13}\right)+\left(\frac{-6}{-7}\right)\\= \frac{2}{13}+\frac{6}{7}\\=\frac{14}{91}+\frac{78}{91}\\=\frac{14+78}{91}\\=\frac{92}{91}\)
9. \(-\left(\frac{9}{4}\right)-\left(\frac{6}{-7}\right)\\= \frac{-9}{4}+\frac{6}{7}\\=\frac{-63}{28}+\frac{24}{28}\\=\frac{-63+24}{28}\\=\frac{-39}{28}\)
10. \(+\left(\frac{-6}{5}\right)-\left(\frac{5}{11}\right)\\= \frac{-6}{5}-\frac{5}{11}\\=\frac{-66}{55}-\frac{25}{55}\\=\frac{-66-25}{55}\\=\frac{-91}{55}\)
11. \(+\left(\frac{-12}{-5}\right)-\left(\frac{11}{9}\right)\\= \frac{12}{5}-\frac{11}{9}\\=\frac{108}{45}-\frac{55}{45}\\=\frac{108-55}{45}\\=\frac{53}{45}\)
12. \(+\left(\frac{-8}{-13}\right)+\left(\frac{15}{4}\right)\\= \frac{8}{13}+\frac{15}{4}\\=\frac{32}{52}+\frac{195}{52}\\=\frac{32+195}{52}\\=\frac{227}{52}\)