Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{5}\right) -\left(\frac{-7}{8}\right) +\left(\frac{10}{9}\right)\\= \frac{-2}{5}+ \frac{7}{8}+\frac{10}{9}\\=\frac{-144}{360}+\frac{315}{360}+\frac{400}{360}\\=\frac{-144+315+400}{360}\\=\frac{571}{360}\)
2. \(+\left(\frac{10}{-9}\right) -\left(\frac{6}{3}\right) -\left(\frac{-6}{-5}\right)\\= \frac{-10}{9}- \frac{6}{3}-\frac{6}{5}\\=\frac{-10}{9}-\frac{2}{1}-\frac{6}{5}\\=\frac{-50}{45}-\frac{90}{45}-\frac{54}{45}\\=\frac{-50-90-54}{45}\\=\frac{-194}{45}\)
3. \(+\left(\frac{-5}{-9}\right) +\left(\frac{2}{2}\right) +\left(\frac{10}{-2}\right)\\= \frac{5}{9}+ \frac{2}{2}-\frac{10}{2}\\=\frac{5}{9}+\frac{1}{1}-\frac{5}{1}\\=\frac{5+1-5}{9}\\=\frac{1}{9}\)
4. \(-\left(\frac{-3}{-2}\right) -\left(\frac{10}{3}\right) -\left(\frac{9}{11}\right)\\= \frac{-3}{2}- \frac{10}{3}-\frac{9}{11}\\=\frac{-99}{66}-\frac{220}{66}-\frac{54}{66}\\=\frac{-99-220-54}{66}\\=\frac{-373}{66}\)
5. \(-\left(\frac{3}{2}\right) -\left(\frac{-3}{-10}\right) +\left(\frac{-6}{4}\right)\\= \frac{-3}{2}- \frac{3}{10}-\frac{6}{4}\\=\frac{-3}{2}-\frac{3}{10}-\frac{3}{2}\\=\frac{-15}{10}-\frac{3}{10}-\frac{15}{10}\\=\frac{-15-3-15}{10}\\=\frac{-33}{10}\)
6. \(-\left(\frac{-4}{-5}\right) +\left(\frac{-7}{4}\right) -\left(\frac{3}{-2}\right)\\= \frac{-4}{5}- \frac{7}{4}+\frac{3}{2}\\=\frac{-16}{20}-\frac{35}{20}+\frac{30}{20}\\=\frac{-16-35+30}{20}\\=\frac{-21}{20}\)
7. \(+\left(\frac{4}{-9}\right) -\left(\frac{9}{-9}\right) -\left(\frac{-12}{4}\right)\\= \frac{-4}{9}+ \frac{9}{9}+\frac{12}{4}\\=\frac{-4}{9}+\frac{1}{1}+\frac{3}{1}\\=\frac{-4+1+3}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)
8. \(+\left(\frac{10}{7}\right) -\left(\frac{-9}{8}\right) +\left(\frac{-7}{12}\right)\\= \frac{10}{7}+ \frac{9}{8}-\frac{7}{12}\\=\frac{240}{168}+\frac{189}{168}-\frac{98}{168}\\=\frac{240+189-98}{168}\\=\frac{331}{168}\)
9. \(-\left(\frac{5}{2}\right) -\left(\frac{3}{6}\right) -\left(\frac{9}{10}\right)\\= \frac{-5}{2}- \frac{3}{6}-\frac{9}{10}\\=\frac{-5}{2}-\frac{1}{2}-\frac{9}{10}\\=\frac{-25}{10}-\frac{5}{10}-\frac{9}{10}\\=\frac{-25-5-9}{10}\\=\frac{-39}{10}\)
10. \(+\left(\frac{5}{-6}\right) -\left(\frac{8}{3}\right) -\left(\frac{12}{2}\right)\\= \frac{-5}{6}- \frac{8}{3}-\frac{12}{2}\\=\frac{-5}{6}-\frac{8}{3}-\frac{6}{1}\\=\frac{-5-8-6}{6}\\=\frac{-19}{6}\)
11. \(+\left(\frac{8}{-7}\right) -\left(\frac{-10}{5}\right) -\left(\frac{-10}{-10}\right)\\= \frac{-8}{7}+ \frac{10}{5}-\frac{10}{10}\\=\frac{-8}{7}+\frac{2}{1}-\frac{1}{1}\\=\frac{-8+2-1}{7}\\=\frac{-7}{7}\\=\frac{-1}{1}\)
12. \(+\left(\frac{6}{-5}\right) -\left(\frac{-9}{-8}\right) +\left(\frac{7}{-11}\right)\\= \frac{-6}{5}- \frac{9}{8}-\frac{7}{11}\\=\frac{-528}{440}-\frac{495}{440}-\frac{280}{440}\\=\frac{-528-495-280}{440}\\=\frac{-1303}{440}\)