Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{5}\right) +\left(\frac{-9}{4}\right) -\left(\frac{-4}{-8}\right)\\= \frac{-2}{5}- \frac{9}{4}-\frac{4}{8}\\=\frac{-2}{5}-\frac{9}{4}-\frac{1}{2}\\=\frac{-8}{20}-\frac{45}{20}-\frac{10}{20}\\=\frac{-8-45-10}{20}\\=\frac{-63}{20}\)
2. \(-\left(\frac{7}{-9}\right) +\left(\frac{-9}{-6}\right) +\left(\frac{2}{9}\right)\\= \frac{7}{9}+ \frac{9}{6}+\frac{2}{9}\\=\frac{7}{9}+\frac{3}{2}+\frac{2}{9}\\=\frac{14}{18}+\frac{27}{18}+\frac{4}{18}\\=\frac{14+27+4}{18}\\=\frac{45}{18}\\=\frac{5}{2}\)
3. \(-\left(\frac{-4}{9}\right) +\left(\frac{7}{-8}\right) -\left(\frac{-12}{-2}\right)\\= \frac{4}{9}- \frac{7}{8}-\frac{12}{2}\\=\frac{4}{9}-\frac{7}{8}-\frac{6}{1}\\=\frac{32}{72}-\frac{63}{72}-\frac{432}{72}\\=\frac{32-63-432}{72}\\=\frac{-463}{72}\)
4. \(-\left(\frac{-8}{-5}\right) +\left(\frac{8}{4}\right) -\left(\frac{4}{10}\right)\\= \frac{-8}{5}+ \frac{8}{4}-\frac{4}{10}\\=\frac{-8}{5}+\frac{2}{1}-\frac{2}{5}\\=\frac{-8+2-2}{5}\\=\frac{-8}{5}\)
5. \(-\left(\frac{-2}{-3}\right) +\left(\frac{7}{10}\right) -\left(\frac{-4}{7}\right)\\= \frac{-2}{3}+ \frac{7}{10}+\frac{4}{7}\\=\frac{-140}{210}+\frac{147}{210}+\frac{120}{210}\\=\frac{-140+147+120}{210}\\=\frac{127}{210}\)
6. \(+\left(\frac{10}{-7}\right) +\left(\frac{-6}{-6}\right) -\left(\frac{-10}{10}\right)\\= \frac{-10}{7}+ \frac{6}{6}+\frac{10}{10}\\=\frac{-10}{7}+\frac{1}{1}+\frac{1}{1}\\=\frac{-10+1+1}{7}\\=\frac{-8}{7}\)
7. \(-\left(\frac{8}{5}\right) +\left(\frac{7}{-2}\right) -\left(\frac{11}{12}\right)\\= \frac{-8}{5}- \frac{7}{2}-\frac{11}{12}\\=\frac{-96}{60}-\frac{210}{60}-\frac{55}{60}\\=\frac{-96-210-55}{60}\\=\frac{-361}{60}\)
8. \(-\left(\frac{7}{-8}\right) -\left(\frac{5}{10}\right) -\left(\frac{3}{-10}\right)\\= \frac{7}{8}- \frac{5}{10}+\frac{3}{10}\\=\frac{7}{8}-\frac{1}{2}+\frac{3}{10}\\=\frac{35}{40}-\frac{20}{40}+\frac{12}{40}\\=\frac{35-20+12}{40}\\=\frac{27}{40}\)
9. \(+\left(\frac{5}{-6}\right) +\left(\frac{8}{8}\right) -\left(\frac{-12}{6}\right)\\= \frac{-5}{6}+ \frac{8}{8}+\frac{12}{6}\\=\frac{-5}{6}+\frac{1}{1}+\frac{2}{1}\\=\frac{-5+1+2}{6}\\=\frac{-2}{6}\\=\frac{-1}{3}\)
10. \(+\left(\frac{-7}{8}\right) -\left(\frac{2}{5}\right) -\left(\frac{9}{-3}\right)\\= \frac{-7}{8}- \frac{2}{5}+\frac{9}{3}\\=\frac{-7}{8}-\frac{2}{5}+\frac{3}{1}\\=\frac{-35}{40}-\frac{16}{40}+\frac{120}{40}\\=\frac{-35-16+120}{40}\\=\frac{69}{40}\)
11. \(+\left(\frac{2}{-3}\right) -\left(\frac{8}{-6}\right) -\left(\frac{3}{-2}\right)\\= \frac{-2}{3}+ \frac{8}{6}+\frac{3}{2}\\=\frac{-2}{3}+\frac{4}{3}+\frac{3}{2}\\=\frac{-4}{6}+\frac{8}{6}+\frac{9}{6}\\=\frac{-4+8+9}{6}\\=\frac{13}{6}\)
12. \(+\left(\frac{-4}{-3}\right) -\left(\frac{-3}{8}\right) -\left(\frac{11}{2}\right)\\= \frac{4}{3}+ \frac{3}{8}-\frac{11}{2}\\=\frac{32}{24}+\frac{9}{24}-\frac{132}{24}\\=\frac{32+9-132}{24}\\=\frac{-91}{24}\)