Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-2}\right)-\left(\frac{-3}{4}\right)\\= \frac{-7}{2}+\frac{3}{4}\\=\frac{-14}{4}+\frac{3}{4}\\=\frac{-14+3}{4}\\=\frac{-11}{4}\)
2. \(-\left(\frac{8}{-7}\right)+\left(\frac{8}{11}\right)\\= \frac{8}{7}+\frac{8}{11}\\=\frac{88}{77}+\frac{56}{77}\\=\frac{88+56}{77}\\=\frac{144}{77}\)
3. \(-\left(\frac{-2}{3}\right)-\left(\frac{15}{8}\right)\\= \frac{2}{3}-\frac{15}{8}\\=\frac{16}{24}-\frac{45}{24}\\=\frac{16-45}{24}\\=\frac{-29}{24}\)
4. \(-\left(\frac{-4}{11}\right)-\left(\frac{-4}{5}\right)\\= \frac{4}{11}+\frac{4}{5}\\=\frac{20}{55}+\frac{44}{55}\\=\frac{20+44}{55}\\=\frac{64}{55}\)
5. \(-\left(\frac{5}{14}\right)-\left(\frac{4}{3}\right)\\= \frac{-5}{14}-\frac{4}{3}\\=\frac{-15}{42}-\frac{56}{42}\\=\frac{-15-56}{42}\\=\frac{-71}{42}\)
6. \(-\left(\frac{-5}{-4}\right)+\left(\frac{8}{9}\right)\\= \frac{-5}{4}+\frac{8}{9}\\=\frac{-45}{36}+\frac{32}{36}\\=\frac{-45+32}{36}\\=\frac{-13}{36}\)
7. \(-\left(\frac{5}{2}\right)+\left(\frac{4}{3}\right)\\= \frac{-5}{2}+\frac{4}{3}\\=\frac{-15}{6}+\frac{8}{6}\\=\frac{-15+8}{6}\\=\frac{-7}{6}\)
8. \(-\left(\frac{11}{-8}\right)+\left(\frac{8}{3}\right)\\= \frac{11}{8}+\frac{8}{3}\\=\frac{33}{24}+\frac{64}{24}\\=\frac{33+64}{24}\\=\frac{97}{24}\)
9. \(+\left(\frac{12}{5}\right)-\left(\frac{14}{11}\right)\\= \frac{12}{5}-\frac{14}{11}\\=\frac{132}{55}-\frac{70}{55}\\=\frac{132-70}{55}\\=\frac{62}{55}\)
10. \(-\left(\frac{-10}{-13}\right)+\left(\frac{7}{4}\right)\\= \frac{-10}{13}+\frac{7}{4}\\=\frac{-40}{52}+\frac{91}{52}\\=\frac{-40+91}{52}\\=\frac{51}{52}\)
11. \(+\left(\frac{5}{6}\right)-\left(\frac{-12}{-5}\right)\\= \frac{5}{6}-\frac{12}{5}\\=\frac{25}{30}-\frac{72}{30}\\=\frac{25-72}{30}\\=\frac{-47}{30}\)
12. \(+\left(\frac{-12}{-5}\right)+\left(\frac{8}{-5}\right)\\= \frac{12}{5}-\frac{8}{5}\\=\frac{12-8}{5}\\=\frac{4}{5}\)