Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-2}{7}\right) -\left(\frac{7}{7}\right) +\left(\frac{11}{2}\right)\\= \frac{2}{7}- \frac{7}{7}+\frac{11}{2}\\=\frac{2}{7}-\frac{1}{1}+\frac{11}{2}\\=\frac{4}{14}-\frac{14}{14}+\frac{77}{14}\\=\frac{4-14+77}{14}\\=\frac{67}{14}\)
2. \(-\left(\frac{-10}{3}\right) +\left(\frac{8}{-5}\right) -\left(\frac{12}{4}\right)\\= \frac{10}{3}- \frac{8}{5}-\frac{12}{4}\\=\frac{10}{3}-\frac{8}{5}-\frac{3}{1}\\=\frac{50}{15}-\frac{24}{15}-\frac{45}{15}\\=\frac{50-24-45}{15}\\=\frac{-19}{15}\)
3. \(+\left(\frac{-4}{5}\right) +\left(\frac{8}{-6}\right) -\left(\frac{-6}{-9}\right)\\= \frac{-4}{5}- \frac{8}{6}-\frac{6}{9}\\=\frac{-4}{5}-\frac{4}{3}-\frac{2}{3}\\=\frac{-12}{15}-\frac{20}{15}-\frac{10}{15}\\=\frac{-12-20-10}{15}\\=\frac{-42}{15}\\=\frac{-14}{5}\)
4. \(-\left(\frac{10}{-9}\right) +\left(\frac{-8}{3}\right) -\left(\frac{3}{8}\right)\\= \frac{10}{9}- \frac{8}{3}-\frac{3}{8}\\=\frac{80}{72}-\frac{192}{72}-\frac{27}{72}\\=\frac{80-192-27}{72}\\=\frac{-139}{72}\)
5. \(-\left(\frac{4}{9}\right) -\left(\frac{9}{7}\right) +\left(\frac{6}{-7}\right)\\= \frac{-4}{9}- \frac{9}{7}-\frac{6}{7}\\=\frac{-28}{63}-\frac{81}{63}-\frac{54}{63}\\=\frac{-28-81-54}{63}\\=\frac{-163}{63}\)
6. \(+\left(\frac{10}{-9}\right) +\left(\frac{-9}{4}\right) +\left(\frac{-11}{5}\right)\\= \frac{-10}{9}- \frac{9}{4}-\frac{11}{5}\\=\frac{-200}{180}-\frac{405}{180}-\frac{396}{180}\\=\frac{-200-405-396}{180}\\=\frac{-1001}{180}\)
7. \(+\left(\frac{-8}{3}\right) +\left(\frac{7}{-7}\right) -\left(\frac{5}{-11}\right)\\= \frac{-8}{3}- \frac{7}{7}+\frac{5}{11}\\=\frac{-8}{3}-\frac{1}{1}+\frac{5}{11}\\=\frac{-88}{33}-\frac{33}{33}+\frac{15}{33}\\=\frac{-88-33+15}{33}\\=\frac{-106}{33}\)
8. \(+\left(\frac{6}{-5}\right) -\left(\frac{-2}{-5}\right) +\left(\frac{-8}{-7}\right)\\= \frac{-6}{5}- \frac{2}{5}+\frac{8}{7}\\=\frac{-42}{35}-\frac{14}{35}+\frac{40}{35}\\=\frac{-42-14+40}{35}\\=\frac{-16}{35}\)
9. \(-\left(\frac{7}{6}\right) +\left(\frac{-7}{10}\right) -\left(\frac{8}{5}\right)\\= \frac{-7}{6}- \frac{7}{10}-\frac{8}{5}\\=\frac{-35}{30}-\frac{21}{30}-\frac{48}{30}\\=\frac{-35-21-48}{30}\\=\frac{-104}{30}\\=\frac{-52}{15}\)
10. \(-\left(\frac{3}{-5}\right) +\left(\frac{-7}{9}\right) +\left(\frac{10}{5}\right)\\= \frac{3}{5}- \frac{7}{9}+\frac{10}{5}\\=\frac{3}{5}-\frac{7}{9}+\frac{2}{1}\\=\frac{27}{45}-\frac{35}{45}+\frac{90}{45}\\=\frac{27-35+90}{45}\\=\frac{82}{45}\)
11. \(+\left(\frac{4}{-7}\right) -\left(\frac{-6}{-3}\right) +\left(\frac{6}{8}\right)\\= \frac{-4}{7}- \frac{6}{3}+\frac{6}{8}\\=\frac{-4}{7}-\frac{2}{1}+\frac{3}{4}\\=\frac{-16}{28}-\frac{56}{28}+\frac{21}{28}\\=\frac{-16-56+21}{28}\\=\frac{-51}{28}\)
12. \(-\left(\frac{4}{3}\right) +\left(\frac{4}{6}\right) +\left(\frac{6}{8}\right)\\= \frac{-4}{3}+ \frac{4}{6}+\frac{6}{8}\\=\frac{-4}{3}+\frac{2}{3}+\frac{3}{4}\\=\frac{-16}{12}+\frac{8}{12}+\frac{9}{12}\\=\frac{-16+8+9}{12}\\=\frac{1}{12}\)