Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-8}{5}\right) -\left(\frac{-2}{8}\right) +\left(\frac{9}{6}\right)\\= \frac{-8}{5}+ \frac{2}{8}+\frac{9}{6}\\=\frac{-8}{5}+\frac{1}{4}+\frac{3}{2}\\=\frac{-32}{20}+\frac{5}{20}+\frac{30}{20}\\=\frac{-32+5+30}{20}\\=\frac{3}{20}\)
2. \(+\left(\frac{-7}{5}\right) -\left(\frac{8}{-9}\right) +\left(\frac{11}{2}\right)\\= \frac{-7}{5}+ \frac{8}{9}+\frac{11}{2}\\=\frac{-126}{90}+\frac{80}{90}+\frac{495}{90}\\=\frac{-126+80+495}{90}\\=\frac{449}{90}\)
3. \(-\left(\frac{2}{9}\right) +\left(\frac{8}{4}\right) -\left(\frac{10}{11}\right)\\= \frac{-2}{9}+ \frac{8}{4}-\frac{10}{11}\\=\frac{-2}{9}+\frac{2}{1}-\frac{10}{11}\\=\frac{-22}{99}+\frac{198}{99}-\frac{90}{99}\\=\frac{-22+198-90}{99}\\=\frac{86}{99}\)
4. \(+\left(\frac{10}{7}\right) -\left(\frac{4}{7}\right) +\left(\frac{-5}{-8}\right)\\= \frac{10}{7}- \frac{4}{7}+\frac{5}{8}\\=\frac{80}{56}-\frac{32}{56}+\frac{35}{56}\\=\frac{80-32+35}{56}\\=\frac{83}{56}\)
5. \(-\left(\frac{-7}{-9}\right) +\left(\frac{-2}{5}\right) -\left(\frac{-3}{5}\right)\\= \frac{-7}{9}- \frac{2}{5}+\frac{3}{5}\\=\frac{-35}{45}-\frac{18}{45}+\frac{27}{45}\\=\frac{-35-18+27}{45}\\=\frac{-26}{45}\)
6. \(+\left(\frac{-8}{-9}\right) -\left(\frac{-6}{-6}\right) +\left(\frac{-4}{7}\right)\\= \frac{8}{9}- \frac{6}{6}-\frac{4}{7}\\=\frac{8}{9}-\frac{1}{1}-\frac{4}{7}\\=\frac{56}{63}-\frac{63}{63}-\frac{36}{63}\\=\frac{56-63-36}{63}\\=\frac{-43}{63}\)
7. \(-\left(\frac{3}{7}\right) -\left(\frac{-5}{-6}\right) -\left(\frac{-8}{4}\right)\\= \frac{-3}{7}- \frac{5}{6}+\frac{8}{4}\\=\frac{-3}{7}-\frac{5}{6}+\frac{2}{1}\\=\frac{-18}{42}-\frac{35}{42}+\frac{84}{42}\\=\frac{-18-35+84}{42}\\=\frac{31}{42}\)
8. \(+\left(\frac{9}{2}\right) -\left(\frac{8}{-10}\right) -\left(\frac{-7}{-10}\right)\\= \frac{9}{2}+ \frac{8}{10}-\frac{7}{10}\\=\frac{9}{2}+\frac{4}{5}-\frac{7}{10}\\=\frac{45}{10}+\frac{8}{10}-\frac{7}{10}\\=\frac{45+8-7}{10}\\=\frac{46}{10}\\=\frac{23}{5}\)
9. \(-\left(\frac{-8}{-5}\right) -\left(\frac{-10}{10}\right) -\left(\frac{12}{4}\right)\\= \frac{-8}{5}+ \frac{10}{10}-\frac{12}{4}\\=\frac{-8}{5}+\frac{1}{1}-\frac{3}{1}\\=\frac{-8+1-3}{5}\\=\frac{-10}{5}\\=\frac{-2}{1}\)
10. \(+\left(\frac{-8}{-9}\right) +\left(\frac{-9}{-3}\right) +\left(\frac{6}{-12}\right)\\= \frac{8}{9}+ \frac{9}{3}-\frac{6}{12}\\=\frac{8}{9}+\frac{3}{1}-\frac{1}{2}\\=\frac{16}{18}+\frac{54}{18}-\frac{9}{18}\\=\frac{16+54-9}{18}\\=\frac{61}{18}\)
11. \(+\left(\frac{-7}{2}\right) +\left(\frac{-3}{10}\right) +\left(\frac{-8}{-11}\right)\\= \frac{-7}{2}- \frac{3}{10}+\frac{8}{11}\\=\frac{-385}{110}-\frac{33}{110}+\frac{80}{110}\\=\frac{-385-33+80}{110}\\=\frac{-338}{110}\\=\frac{-169}{55}\)
12. \(+\left(\frac{-10}{7}\right) -\left(\frac{9}{-4}\right) -\left(\frac{-7}{5}\right)\\= \frac{-10}{7}+ \frac{9}{4}+\frac{7}{5}\\=\frac{-200}{140}+\frac{315}{140}+\frac{196}{140}\\=\frac{-200+315+196}{140}\\=\frac{311}{140}\)