Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-9}{-2}\right) +\left(\frac{3}{6}\right) -\left(\frac{-11}{5}\right)\\= \frac{-9}{2}+ \frac{3}{6}+\frac{11}{5}\\=\frac{-9}{2}+\frac{1}{2}+\frac{11}{5}\\=\frac{-45}{10}+\frac{5}{10}+\frac{22}{10}\\=\frac{-45+5+22}{10}\\=\frac{-18}{10}\\=\frac{-9}{5}\)
2. \(-\left(\frac{2}{-3}\right) +\left(\frac{9}{5}\right) +\left(\frac{-12}{-3}\right)\\= \frac{2}{3}+ \frac{9}{5}+\frac{12}{3}\\=\frac{2}{3}+\frac{9}{5}+\frac{4}{1}\\=\frac{10}{15}+\frac{27}{15}+\frac{60}{15}\\=\frac{10+27+60}{15}\\=\frac{97}{15}\)
3. \(-\left(\frac{-5}{-4}\right) -\left(\frac{-10}{-2}\right) +\left(\frac{-5}{-8}\right)\\= \frac{-5}{4}- \frac{10}{2}+\frac{5}{8}\\=\frac{-5}{4}-\frac{5}{1}+\frac{5}{8}\\=\frac{-10}{8}-\frac{40}{8}+\frac{5}{8}\\=\frac{-10-40+5}{8}\\=\frac{-45}{8}\)
4. \(-\left(\frac{-4}{-3}\right) -\left(\frac{-4}{4}\right) +\left(\frac{-7}{6}\right)\\= \frac{-4}{3}+ \frac{4}{4}-\frac{7}{6}\\=\frac{-4}{3}+\frac{1}{1}-\frac{7}{6}\\=\frac{-8}{6}+\frac{6}{6}-\frac{7}{6}\\=\frac{-8+6-7}{6}\\=\frac{-9}{6}\\=\frac{-3}{2}\)
5. \(+\left(\frac{2}{9}\right) +\left(\frac{2}{5}\right) +\left(\frac{8}{7}\right)\\= \frac{2}{9}+ \frac{2}{5}+\frac{8}{7}\\=\frac{70}{315}+\frac{126}{315}+\frac{360}{315}\\=\frac{70+126+360}{315}\\=\frac{556}{315}\)
6. \(-\left(\frac{-2}{3}\right) +\left(\frac{3}{6}\right) -\left(\frac{12}{10}\right)\\= \frac{2}{3}+ \frac{3}{6}-\frac{12}{10}\\=\frac{2}{3}+\frac{1}{2}-\frac{6}{5}\\=\frac{20}{30}+\frac{15}{30}-\frac{36}{30}\\=\frac{20+15-36}{30}\\=\frac{-1}{30}\)
7. \(+\left(\frac{4}{-3}\right) +\left(\frac{-9}{-2}\right) +\left(\frac{-7}{-3}\right)\\= \frac{-4}{3}+ \frac{9}{2}+\frac{7}{3}\\=\frac{-8}{6}+\frac{27}{6}+\frac{14}{6}\\=\frac{-8+27+14}{6}\\=\frac{33}{6}\\=\frac{11}{2}\)
8. \(-\left(\frac{9}{-2}\right) +\left(\frac{4}{-7}\right) -\left(\frac{-3}{7}\right)\\= \frac{9}{2}- \frac{4}{7}+\frac{3}{7}\\=\frac{63}{14}-\frac{8}{14}+\frac{6}{14}\\=\frac{63-8+6}{14}\\=\frac{61}{14}\)
9. \(-\left(\frac{-2}{7}\right) -\left(\frac{-2}{-3}\right) -\left(\frac{-11}{2}\right)\\= \frac{2}{7}- \frac{2}{3}+\frac{11}{2}\\=\frac{12}{42}-\frac{28}{42}+\frac{231}{42}\\=\frac{12-28+231}{42}\\=\frac{215}{42}\)
10. \(-\left(\frac{-6}{-5}\right) -\left(\frac{9}{-5}\right) +\left(\frac{12}{3}\right)\\= \frac{-6}{5}+ \frac{9}{5}+\frac{12}{3}\\=\frac{-6}{5}+\frac{9}{5}+\frac{4}{1}\\=\frac{-6+9+4}{5}\\=\frac{7}{5}\)
11. \(+\left(\frac{-4}{9}\right) +\left(\frac{-8}{3}\right) -\left(\frac{-8}{11}\right)\\= \frac{-4}{9}- \frac{8}{3}+\frac{8}{11}\\=\frac{-44}{99}-\frac{264}{99}+\frac{72}{99}\\=\frac{-44-264+72}{99}\\=\frac{-236}{99}\)
12. \(-\left(\frac{-6}{7}\right) +\left(\frac{-7}{5}\right) +\left(\frac{-6}{-10}\right)\\= \frac{6}{7}- \frac{7}{5}+\frac{6}{10}\\=\frac{6}{7}-\frac{7}{5}+\frac{3}{5}\\=\frac{30}{35}-\frac{49}{35}+\frac{21}{35}\\=\frac{30-49+21}{35}\\=\frac{2}{35}\)