Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{8}{9}\right) +\left(\frac{-4}{-4}\right) +\left(\frac{-6}{2}\right)\\= \frac{8}{9}+ \frac{4}{4}-\frac{6}{2}\\=\frac{8}{9}+\frac{1}{1}-\frac{3}{1}\\=\frac{8+1-3}{9}\\=\frac{6}{9}\\=\frac{2}{3}\)
2. \(+\left(\frac{7}{-8}\right) +\left(\frac{-6}{3}\right) +\left(\frac{-12}{2}\right)\\= \frac{-7}{8}- \frac{6}{3}-\frac{12}{2}\\=\frac{-7}{8}-\frac{2}{1}-\frac{6}{1}\\=\frac{-7-2-6}{8}\\=\frac{-15}{8}\)
3. \(+\left(\frac{-2}{7}\right) +\left(\frac{-5}{5}\right) +\left(\frac{-8}{6}\right)\\= \frac{-2}{7}- \frac{5}{5}-\frac{8}{6}\\=\frac{-2}{7}-\frac{1}{1}-\frac{4}{3}\\=\frac{-6}{21}-\frac{21}{21}-\frac{28}{21}\\=\frac{-6-21-28}{21}\\=\frac{-55}{21}\)
4. \(+\left(\frac{4}{-3}\right) -\left(\frac{-10}{-6}\right) +\left(\frac{4}{-4}\right)\\= \frac{-4}{3}- \frac{10}{6}-\frac{4}{4}\\=\frac{-4}{3}-\frac{5}{3}-\frac{1}{1}\\=\frac{-4-5-1}{3}\\=\frac{-10}{3}\)
5. \(-\left(\frac{-7}{5}\right) -\left(\frac{-8}{10}\right) +\left(\frac{8}{9}\right)\\= \frac{7}{5}+ \frac{8}{10}+\frac{8}{9}\\=\frac{7}{5}+\frac{4}{5}+\frac{8}{9}\\=\frac{63}{45}+\frac{36}{45}+\frac{40}{45}\\=\frac{63+36+40}{45}\\=\frac{139}{45}\)
6. \(+\left(\frac{-7}{2}\right) +\left(\frac{-2}{4}\right) -\left(\frac{-7}{-3}\right)\\= \frac{-7}{2}- \frac{2}{4}-\frac{7}{3}\\=\frac{-7}{2}-\frac{1}{2}-\frac{7}{3}\\=\frac{-21}{6}-\frac{3}{6}-\frac{14}{6}\\=\frac{-21-3-14}{6}\\=\frac{-38}{6}\\=\frac{-19}{3}\)
7. \(+\left(\frac{-8}{-5}\right) +\left(\frac{3}{-10}\right) -\left(\frac{-4}{8}\right)\\= \frac{8}{5}- \frac{3}{10}+\frac{4}{8}\\=\frac{8}{5}-\frac{3}{10}+\frac{1}{2}\\=\frac{16}{10}-\frac{3}{10}+\frac{5}{10}\\=\frac{16-3+5}{10}\\=\frac{18}{10}\\=\frac{9}{5}\)
8. \(+\left(\frac{8}{-3}\right) +\left(\frac{5}{-2}\right) +\left(\frac{3}{5}\right)\\= \frac{-8}{3}- \frac{5}{2}+\frac{3}{5}\\=\frac{-80}{30}-\frac{75}{30}+\frac{18}{30}\\=\frac{-80-75+18}{30}\\=\frac{-137}{30}\)
9. \(-\left(\frac{5}{7}\right) -\left(\frac{-6}{-4}\right) +\left(\frac{2}{5}\right)\\= \frac{-5}{7}- \frac{6}{4}+\frac{2}{5}\\=\frac{-5}{7}-\frac{3}{2}+\frac{2}{5}\\=\frac{-50}{70}-\frac{105}{70}+\frac{28}{70}\\=\frac{-50-105+28}{70}\\=\frac{-127}{70}\)
10. \(+\left(\frac{-4}{9}\right) -\left(\frac{-8}{10}\right) +\left(\frac{2}{4}\right)\\= \frac{-4}{9}+ \frac{8}{10}+\frac{2}{4}\\=\frac{-4}{9}+\frac{4}{5}+\frac{1}{2}\\=\frac{-40}{90}+\frac{72}{90}+\frac{45}{90}\\=\frac{-40+72+45}{90}\\=\frac{77}{90}\)
11. \(+\left(\frac{5}{-2}\right) +\left(\frac{-4}{-6}\right) -\left(\frac{9}{5}\right)\\= \frac{-5}{2}+ \frac{4}{6}-\frac{9}{5}\\=\frac{-5}{2}+\frac{2}{3}-\frac{9}{5}\\=\frac{-75}{30}+\frac{20}{30}-\frac{54}{30}\\=\frac{-75+20-54}{30}\\=\frac{-109}{30}\)
12. \(-\left(\frac{2}{-3}\right) -\left(\frac{9}{-4}\right) +\left(\frac{-6}{-7}\right)\\= \frac{2}{3}+ \frac{9}{4}+\frac{6}{7}\\=\frac{56}{84}+\frac{189}{84}+\frac{72}{84}\\=\frac{56+189+72}{84}\\=\frac{317}{84}\)