Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{9}{-8}\right) +\left(\frac{10}{2}\right) +\left(\frac{6}{8}\right)\\= \frac{9}{8}+ \frac{10}{2}+\frac{6}{8}\\=\frac{9}{8}+\frac{5}{1}+\frac{3}{4}\\=\frac{9+5+3}{8}\\=\frac{17}{8}\)
2. \(+\left(\frac{3}{2}\right) -\left(\frac{4}{-8}\right) +\left(\frac{-9}{-8}\right)\\= \frac{3}{2}+ \frac{4}{8}+\frac{9}{8}\\=\frac{3}{2}+\frac{1}{2}+\frac{9}{8}\\=\frac{12}{8}+\frac{4}{8}+\frac{9}{8}\\=\frac{12+4+9}{8}\\=\frac{25}{8}\)
3. \(-\left(\frac{-6}{5}\right) +\left(\frac{5}{4}\right) +\left(\frac{-12}{2}\right)\\= \frac{6}{5}+ \frac{5}{4}-\frac{12}{2}\\=\frac{6}{5}+\frac{5}{4}-\frac{6}{1}\\=\frac{24}{20}+\frac{25}{20}-\frac{120}{20}\\=\frac{24+25-120}{20}\\=\frac{-71}{20}\)
4. \(-\left(\frac{-5}{9}\right) +\left(\frac{-2}{-8}\right) +\left(\frac{5}{4}\right)\\= \frac{5}{9}+ \frac{2}{8}+\frac{5}{4}\\=\frac{5}{9}+\frac{1}{4}+\frac{5}{4}\\=\frac{20}{36}+\frac{9}{36}+\frac{45}{36}\\=\frac{20+9+45}{36}\\=\frac{74}{36}\\=\frac{37}{18}\)
5. \(-\left(\frac{5}{6}\right) -\left(\frac{6}{-8}\right) +\left(\frac{2}{-8}\right)\\= \frac{-5}{6}+ \frac{6}{8}-\frac{2}{8}\\=\frac{-5}{6}+\frac{3}{4}-\frac{1}{4}\\=\frac{-10}{12}+\frac{9}{12}-\frac{3}{12}\\=\frac{-10+9-3}{12}\\=\frac{-4}{12}\\=\frac{-1}{3}\)
6. \(-\left(\frac{3}{4}\right) -\left(\frac{5}{2}\right) +\left(\frac{-10}{-3}\right)\\= \frac{-3}{4}- \frac{5}{2}+\frac{10}{3}\\=\frac{-9}{12}-\frac{30}{12}+\frac{40}{12}\\=\frac{-9-30+40}{12}\\=\frac{1}{12}\)
7. \(+\left(\frac{7}{3}\right) -\left(\frac{-5}{6}\right) -\left(\frac{6}{4}\right)\\= \frac{7}{3}+ \frac{5}{6}-\frac{6}{4}\\=\frac{7}{3}+\frac{5}{6}-\frac{3}{2}\\=\frac{14}{6}+\frac{5}{6}-\frac{9}{6}\\=\frac{14+5-9}{6}\\=\frac{10}{6}\\=\frac{5}{3}\)
8. \(+\left(\frac{-8}{-5}\right) +\left(\frac{9}{10}\right) -\left(\frac{11}{11}\right)\\= \frac{8}{5}+ \frac{9}{10}-\frac{11}{11}\\=\frac{8}{5}+\frac{9}{10}-\frac{1}{1}\\=\frac{16}{10}+\frac{9}{10}-\frac{10}{10}\\=\frac{16+9-10}{10}\\=\frac{15}{10}\\=\frac{3}{2}\)
9. \(-\left(\frac{-8}{5}\right) -\left(\frac{-10}{-4}\right) +\left(\frac{9}{12}\right)\\= \frac{8}{5}- \frac{10}{4}+\frac{9}{12}\\=\frac{8}{5}-\frac{5}{2}+\frac{3}{4}\\=\frac{32}{20}-\frac{50}{20}+\frac{15}{20}\\=\frac{32-50+15}{20}\\=\frac{-3}{20}\)
10. \(-\left(\frac{-8}{7}\right) -\left(\frac{9}{-9}\right) -\left(\frac{5}{-11}\right)\\= \frac{8}{7}+ \frac{9}{9}+\frac{5}{11}\\=\frac{8}{7}+\frac{1}{1}+\frac{5}{11}\\=\frac{88}{77}+\frac{77}{77}+\frac{35}{77}\\=\frac{88+77+35}{77}\\=\frac{200}{77}\)
11. \(+\left(\frac{10}{7}\right) -\left(\frac{5}{-4}\right) -\left(\frac{-6}{-4}\right)\\= \frac{10}{7}+ \frac{5}{4}-\frac{6}{4}\\=\frac{10}{7}+\frac{5}{4}-\frac{3}{2}\\=\frac{40}{28}+\frac{35}{28}-\frac{42}{28}\\=\frac{40+35-42}{28}\\=\frac{33}{28}\)
12. \(-\left(\frac{9}{-2}\right) +\left(\frac{-8}{-6}\right) -\left(\frac{-3}{-9}\right)\\= \frac{9}{2}+ \frac{8}{6}-\frac{3}{9}\\=\frac{9}{2}+\frac{4}{3}-\frac{1}{3}\\=\frac{27}{6}+\frac{8}{6}-\frac{2}{6}\\=\frac{27+8-2}{6}\\=\frac{33}{6}\\=\frac{11}{2}\)