Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{-8}\right) -\left(\frac{-2}{4}\right) -\left(\frac{8}{2}\right)\\= \frac{-7}{8}+ \frac{2}{4}-\frac{8}{2}\\=\frac{-7}{8}+\frac{1}{2}-\frac{4}{1}\\=\frac{-7+1-4}{8}\\=\frac{-10}{8}\\=\frac{-5}{4}\)
2. \(+\left(\frac{-2}{-5}\right) -\left(\frac{-10}{-9}\right) +\left(\frac{8}{8}\right)\\= \frac{2}{5}- \frac{10}{9}+\frac{8}{8}\\=\frac{2}{5}-\frac{10}{9}+\frac{1}{1}\\=\frac{18}{45}-\frac{50}{45}+\frac{45}{45}\\=\frac{18-50+45}{45}\\=\frac{13}{45}\)
3. \(-\left(\frac{3}{-7}\right) +\left(\frac{6}{-4}\right) +\left(\frac{-2}{-3}\right)\\= \frac{3}{7}- \frac{6}{4}+\frac{2}{3}\\=\frac{3}{7}-\frac{3}{2}+\frac{2}{3}\\=\frac{18}{42}-\frac{63}{42}+\frac{28}{42}\\=\frac{18-63+28}{42}\\=\frac{-17}{42}\)
4. \(+\left(\frac{5}{-6}\right) -\left(\frac{3}{-3}\right) +\left(\frac{-4}{5}\right)\\= \frac{-5}{6}+ \frac{3}{3}-\frac{4}{5}\\=\frac{-5}{6}+\frac{1}{1}-\frac{4}{5}\\=\frac{-25}{30}+\frac{30}{30}-\frac{24}{30}\\=\frac{-25+30-24}{30}\\=\frac{-19}{30}\)
5. \(+\left(\frac{-3}{2}\right) +\left(\frac{6}{9}\right) +\left(\frac{12}{-10}\right)\\= \frac{-3}{2}+ \frac{6}{9}-\frac{12}{10}\\=\frac{-3}{2}+\frac{2}{3}-\frac{6}{5}\\=\frac{-45}{30}+\frac{20}{30}-\frac{36}{30}\\=\frac{-45+20-36}{30}\\=\frac{-61}{30}\)
6. \(-\left(\frac{-9}{2}\right) -\left(\frac{2}{3}\right) -\left(\frac{3}{-11}\right)\\= \frac{9}{2}- \frac{2}{3}+\frac{3}{11}\\=\frac{297}{66}-\frac{44}{66}+\frac{18}{66}\\=\frac{297-44+18}{66}\\=\frac{271}{66}\)
7. \(+\left(\frac{-8}{5}\right) +\left(\frac{-5}{-8}\right) +\left(\frac{3}{-3}\right)\\= \frac{-8}{5}+ \frac{5}{8}-\frac{3}{3}\\=\frac{-8}{5}+\frac{5}{8}-\frac{1}{1}\\=\frac{-64}{40}+\frac{25}{40}-\frac{40}{40}\\=\frac{-64+25-40}{40}\\=\frac{-79}{40}\)
8. \(+\left(\frac{-2}{-9}\right) +\left(\frac{-10}{2}\right) -\left(\frac{8}{-5}\right)\\= \frac{2}{9}- \frac{10}{2}+\frac{8}{5}\\=\frac{2}{9}-\frac{5}{1}+\frac{8}{5}\\=\frac{10}{45}-\frac{225}{45}+\frac{72}{45}\\=\frac{10-225+72}{45}\\=\frac{-143}{45}\)
9. \(+\left(\frac{-9}{8}\right) +\left(\frac{-8}{9}\right) +\left(\frac{-6}{-2}\right)\\= \frac{-9}{8}- \frac{8}{9}+\frac{6}{2}\\=\frac{-9}{8}-\frac{8}{9}+\frac{3}{1}\\=\frac{-81}{72}-\frac{64}{72}+\frac{216}{72}\\=\frac{-81-64+216}{72}\\=\frac{71}{72}\)
10. \(+\left(\frac{3}{8}\right) -\left(\frac{-10}{9}\right) -\left(\frac{-10}{-3}\right)\\= \frac{3}{8}+ \frac{10}{9}-\frac{10}{3}\\=\frac{27}{72}+\frac{80}{72}-\frac{240}{72}\\=\frac{27+80-240}{72}\\=\frac{-133}{72}\)
11. \(-\left(\frac{-6}{-5}\right) +\left(\frac{-10}{-3}\right) -\left(\frac{5}{6}\right)\\= \frac{-6}{5}+ \frac{10}{3}-\frac{5}{6}\\=\frac{-36}{30}+\frac{100}{30}-\frac{25}{30}\\=\frac{-36+100-25}{30}\\=\frac{39}{30}\\=\frac{13}{10}\)
12. \(+\left(\frac{8}{5}\right) +\left(\frac{5}{7}\right) -\left(\frac{7}{3}\right)\\= \frac{8}{5}+ \frac{5}{7}-\frac{7}{3}\\=\frac{168}{105}+\frac{75}{105}-\frac{245}{105}\\=\frac{168+75-245}{105}\\=\frac{-2}{105}\)