Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-4}\right) -\left(\frac{-3}{5}\right) -\left(\frac{10}{11}\right)\\= \frac{3}{4}+ \frac{3}{5}-\frac{10}{11}\\=\frac{165}{220}+\frac{132}{220}-\frac{200}{220}\\=\frac{165+132-200}{220}\\=\frac{97}{220}\)
2. \(-\left(\frac{-8}{7}\right) -\left(\frac{-4}{-4}\right) -\left(\frac{-12}{-11}\right)\\= \frac{8}{7}- \frac{4}{4}-\frac{12}{11}\\=\frac{8}{7}-\frac{1}{1}-\frac{12}{11}\\=\frac{88}{77}-\frac{77}{77}-\frac{84}{77}\\=\frac{88-77-84}{77}\\=\frac{-73}{77}\)
3. \(+\left(\frac{6}{5}\right) +\left(\frac{-10}{4}\right) +\left(\frac{-12}{-2}\right)\\= \frac{6}{5}- \frac{10}{4}+\frac{12}{2}\\=\frac{6}{5}-\frac{5}{2}+\frac{6}{1}\\=\frac{12}{10}-\frac{25}{10}+\frac{60}{10}\\=\frac{12-25+60}{10}\\=\frac{47}{10}\)
4. \(+\left(\frac{-2}{3}\right) -\left(\frac{-3}{7}\right) +\left(\frac{-10}{-3}\right)\\= \frac{-2}{3}+ \frac{3}{7}+\frac{10}{3}\\=\frac{-14}{21}+\frac{9}{21}+\frac{70}{21}\\=\frac{-14+9+70}{21}\\=\frac{65}{21}\)
5. \(-\left(\frac{3}{-8}\right) +\left(\frac{-5}{-9}\right) -\left(\frac{6}{-7}\right)\\= \frac{3}{8}+ \frac{5}{9}+\frac{6}{7}\\=\frac{189}{504}+\frac{280}{504}+\frac{432}{504}\\=\frac{189+280+432}{504}\\=\frac{901}{504}\)
6. \(+\left(\frac{-10}{7}\right) +\left(\frac{6}{7}\right) +\left(\frac{-2}{-5}\right)\\= \frac{-10}{7}+ \frac{6}{7}+\frac{2}{5}\\=\frac{-50}{35}+\frac{30}{35}+\frac{14}{35}\\=\frac{-50+30+14}{35}\\=\frac{-6}{35}\)
7. \(-\left(\frac{5}{-8}\right) -\left(\frac{-2}{4}\right) +\left(\frac{9}{-2}\right)\\= \frac{5}{8}+ \frac{2}{4}-\frac{9}{2}\\=\frac{5}{8}+\frac{1}{2}-\frac{9}{2}\\=\frac{5+1-9}{8}\\=\frac{-3}{8}\)
8. \(-\left(\frac{2}{3}\right) +\left(\frac{7}{6}\right) -\left(\frac{-10}{6}\right)\\= \frac{-2}{3}+ \frac{7}{6}+\frac{10}{6}\\=\frac{-2}{3}+\frac{7}{6}+\frac{5}{3}\\=\frac{-4}{6}+\frac{7}{6}+\frac{10}{6}\\=\frac{-4+7+10}{6}\\=\frac{13}{6}\)
9. \(+\left(\frac{10}{7}\right) -\left(\frac{2}{2}\right) -\left(\frac{-12}{9}\right)\\= \frac{10}{7}- \frac{2}{2}+\frac{12}{9}\\=\frac{10}{7}-\frac{1}{1}+\frac{4}{3}\\=\frac{30}{21}-\frac{21}{21}+\frac{28}{21}\\=\frac{30-21+28}{21}\\=\frac{37}{21}\)
10. \(-\left(\frac{-3}{-5}\right) +\left(\frac{-2}{-2}\right) +\left(\frac{-2}{8}\right)\\= \frac{-3}{5}+ \frac{2}{2}-\frac{2}{8}\\=\frac{-3}{5}+\frac{1}{1}-\frac{1}{4}\\=\frac{-12}{20}+\frac{20}{20}-\frac{5}{20}\\=\frac{-12+20-5}{20}\\=\frac{3}{20}\)
11. \(+\left(\frac{6}{-5}\right) +\left(\frac{-3}{8}\right) -\left(\frac{3}{-8}\right)\\= \frac{-6}{5}- \frac{3}{8}+\frac{3}{8}\\=\frac{-48}{40}-\frac{15}{40}+\frac{15}{40}\\=\frac{-48-15+15}{40}\\=\frac{-48}{40}\\=\frac{-6}{5}\)
12. \(+\left(\frac{2}{-5}\right) -\left(\frac{9}{-2}\right) +\left(\frac{-6}{11}\right)\\= \frac{-2}{5}+ \frac{9}{2}-\frac{6}{11}\\=\frac{-44}{110}+\frac{495}{110}-\frac{60}{110}\\=\frac{-44+495-60}{110}\\=\frac{391}{110}\)