Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{-2}\right) +\left(\frac{-9}{5}\right) -\left(\frac{-9}{12}\right)\\= \frac{-5}{2}- \frac{9}{5}+\frac{9}{12}\\=\frac{-5}{2}-\frac{9}{5}+\frac{3}{4}\\=\frac{-50}{20}-\frac{36}{20}+\frac{15}{20}\\=\frac{-50-36+15}{20}\\=\frac{-71}{20}\)
2. \(-\left(\frac{-10}{7}\right) -\left(\frac{10}{2}\right) +\left(\frac{-6}{3}\right)\\= \frac{10}{7}- \frac{10}{2}-\frac{6}{3}\\=\frac{10}{7}-\frac{5}{1}-\frac{2}{1}\\=\frac{10-5-2}{7}\\=\frac{3}{7}\)
3. \(+\left(\frac{-10}{-3}\right) -\left(\frac{-2}{8}\right) -\left(\frac{12}{9}\right)\\= \frac{10}{3}+ \frac{2}{8}-\frac{12}{9}\\=\frac{10}{3}+\frac{1}{4}-\frac{4}{3}\\=\frac{40}{12}+\frac{3}{12}-\frac{16}{12}\\=\frac{40+3-16}{12}\\=\frac{27}{12}\\=\frac{9}{4}\)
4. \(+\left(\frac{6}{-5}\right) -\left(\frac{-8}{2}\right) -\left(\frac{-11}{11}\right)\\= \frac{-6}{5}+ \frac{8}{2}+\frac{11}{11}\\=\frac{-6}{5}+\frac{4}{1}+\frac{1}{1}\\=\frac{-6+4+1}{5}\\=\frac{-1}{5}\)
5. \(+\left(\frac{-5}{-6}\right) -\left(\frac{-6}{-9}\right) +\left(\frac{-8}{-11}\right)\\= \frac{5}{6}- \frac{6}{9}+\frac{8}{11}\\=\frac{5}{6}-\frac{2}{3}+\frac{8}{11}\\=\frac{55}{66}-\frac{44}{66}+\frac{48}{66}\\=\frac{55-44+48}{66}\\=\frac{59}{66}\)
6. \(+\left(\frac{-5}{9}\right) +\left(\frac{3}{3}\right) +\left(\frac{-5}{2}\right)\\= \frac{-5}{9}+ \frac{3}{3}-\frac{5}{2}\\=\frac{-5}{9}+\frac{1}{1}-\frac{5}{2}\\=\frac{-10}{18}+\frac{18}{18}-\frac{45}{18}\\=\frac{-10+18-45}{18}\\=\frac{-37}{18}\)
7. \(+\left(\frac{-8}{-5}\right) -\left(\frac{-2}{-3}\right) +\left(\frac{-6}{-12}\right)\\= \frac{8}{5}- \frac{2}{3}+\frac{6}{12}\\=\frac{8}{5}-\frac{2}{3}+\frac{1}{2}\\=\frac{48}{30}-\frac{20}{30}+\frac{15}{30}\\=\frac{48-20+15}{30}\\=\frac{43}{30}\)
8. \(+\left(\frac{-10}{-9}\right) +\left(\frac{-5}{-10}\right) -\left(\frac{4}{-6}\right)\\= \frac{10}{9}+ \frac{5}{10}+\frac{4}{6}\\=\frac{10}{9}+\frac{1}{2}+\frac{2}{3}\\=\frac{20}{18}+\frac{9}{18}+\frac{12}{18}\\=\frac{20+9+12}{18}\\=\frac{41}{18}\)
9. \(-\left(\frac{-9}{-5}\right) -\left(\frac{6}{-10}\right) +\left(\frac{11}{-11}\right)\\= \frac{-9}{5}+ \frac{6}{10}-\frac{11}{11}\\=\frac{-9}{5}+\frac{3}{5}-\frac{1}{1}\\=\frac{-9+3-1}{5}\\=\frac{-7}{5}\)
10. \(+\left(\frac{9}{2}\right) -\left(\frac{7}{8}\right) -\left(\frac{4}{-11}\right)\\= \frac{9}{2}- \frac{7}{8}+\frac{4}{11}\\=\frac{396}{88}-\frac{77}{88}+\frac{32}{88}\\=\frac{396-77+32}{88}\\=\frac{351}{88}\)
11. \(-\left(\frac{-4}{3}\right) +\left(\frac{6}{-8}\right) -\left(\frac{12}{6}\right)\\= \frac{4}{3}- \frac{6}{8}-\frac{12}{6}\\=\frac{4}{3}-\frac{3}{4}-\frac{2}{1}\\=\frac{16}{12}-\frac{9}{12}-\frac{24}{12}\\=\frac{16-9-24}{12}\\=\frac{-17}{12}\)
12. \(-\left(\frac{8}{-3}\right) +\left(\frac{6}{6}\right) +\left(\frac{10}{-10}\right)\\= \frac{8}{3}+ \frac{6}{6}-\frac{10}{10}\\=\frac{8}{3}+\frac{1}{1}-\frac{1}{1}\\=\frac{8+1-1}{3}\\=\frac{8}{3}\)