Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{5}{-8}\right) -\left(\frac{6}{-8}\right) +\left(\frac{12}{4}\right)\\= \frac{-5}{8}+ \frac{6}{8}+\frac{12}{4}\\=\frac{-5}{8}+\frac{3}{4}+\frac{3}{1}\\=\frac{-5+3+3}{8}\\=\frac{1}{8}\)
2. \(-\left(\frac{-3}{2}\right) +\left(\frac{-6}{9}\right) -\left(\frac{11}{-7}\right)\\= \frac{3}{2}- \frac{6}{9}+\frac{11}{7}\\=\frac{3}{2}-\frac{2}{3}+\frac{11}{7}\\=\frac{63}{42}-\frac{28}{42}+\frac{66}{42}\\=\frac{63-28+66}{42}\\=\frac{101}{42}\)
3. \(-\left(\frac{7}{-6}\right) +\left(\frac{-8}{-6}\right) +\left(\frac{-6}{7}\right)\\= \frac{7}{6}+ \frac{8}{6}-\frac{6}{7}\\=\frac{7}{6}+\frac{4}{3}-\frac{6}{7}\\=\frac{49}{42}+\frac{56}{42}-\frac{36}{42}\\=\frac{49+56-36}{42}\\=\frac{69}{42}\\=\frac{23}{14}\)
4. \(+\left(\frac{-7}{6}\right) -\left(\frac{10}{9}\right) +\left(\frac{-8}{3}\right)\\= \frac{-7}{6}- \frac{10}{9}-\frac{8}{3}\\=\frac{-21}{18}-\frac{20}{18}-\frac{48}{18}\\=\frac{-21-20-48}{18}\\=\frac{-89}{18}\)
5. \(-\left(\frac{5}{-4}\right) +\left(\frac{5}{-4}\right) +\left(\frac{-12}{9}\right)\\= \frac{5}{4}- \frac{5}{4}-\frac{12}{9}\\=\frac{5}{4}-\frac{5}{4}-\frac{4}{3}\\=\frac{15}{12}-\frac{15}{12}-\frac{16}{12}\\=\frac{15-15-16}{12}\\=\frac{-16}{12}\\=\frac{-4}{3}\)
6. \(-\left(\frac{-10}{-3}\right) -\left(\frac{3}{-3}\right) -\left(\frac{-7}{-9}\right)\\= \frac{-10}{3}+ \frac{3}{3}-\frac{7}{9}\\=\frac{-10}{3}+\frac{1}{1}-\frac{7}{9}\\=\frac{-30}{9}+\frac{9}{9}-\frac{7}{9}\\=\frac{-30+9-7}{9}\\=\frac{-28}{9}\)
7. \(+\left(\frac{3}{-4}\right) +\left(\frac{-9}{5}\right) +\left(\frac{-9}{-2}\right)\\= \frac{-3}{4}- \frac{9}{5}+\frac{9}{2}\\=\frac{-15}{20}-\frac{36}{20}+\frac{90}{20}\\=\frac{-15-36+90}{20}\\=\frac{39}{20}\)
8. \(-\left(\frac{5}{9}\right) +\left(\frac{-3}{3}\right) +\left(\frac{-3}{-4}\right)\\= \frac{-5}{9}- \frac{3}{3}+\frac{3}{4}\\=\frac{-5}{9}-\frac{1}{1}+\frac{3}{4}\\=\frac{-20}{36}-\frac{36}{36}+\frac{27}{36}\\=\frac{-20-36+27}{36}\\=\frac{-29}{36}\)
9. \(-\left(\frac{-5}{8}\right) -\left(\frac{2}{7}\right) -\left(\frac{-12}{6}\right)\\= \frac{5}{8}- \frac{2}{7}+\frac{12}{6}\\=\frac{5}{8}-\frac{2}{7}+\frac{2}{1}\\=\frac{35}{56}-\frac{16}{56}+\frac{112}{56}\\=\frac{35-16+112}{56}\\=\frac{131}{56}\)
10. \(-\left(\frac{-9}{-7}\right) +\left(\frac{6}{-9}\right) -\left(\frac{-10}{-6}\right)\\= \frac{-9}{7}- \frac{6}{9}-\frac{10}{6}\\=\frac{-9}{7}-\frac{2}{3}-\frac{5}{3}\\=\frac{-27}{21}-\frac{14}{21}-\frac{35}{21}\\=\frac{-27-14-35}{21}\\=\frac{-76}{21}\)
11. \(+\left(\frac{-8}{-7}\right) +\left(\frac{-6}{7}\right) +\left(\frac{2}{-2}\right)\\= \frac{8}{7}- \frac{6}{7}-\frac{2}{2}\\=\frac{8}{7}-\frac{6}{7}-\frac{1}{1}\\=\frac{8-6-1}{7}\\=\frac{1}{7}\)
12. \(+\left(\frac{7}{6}\right) -\left(\frac{-3}{-3}\right) +\left(\frac{9}{12}\right)\\= \frac{7}{6}- \frac{3}{3}+\frac{9}{12}\\=\frac{7}{6}-\frac{1}{1}+\frac{3}{4}\\=\frac{14}{12}-\frac{12}{12}+\frac{9}{12}\\=\frac{14-12+9}{12}\\=\frac{11}{12}\)