Breuken haakjesregel (reeks 2)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{5}\right) -\left(\frac{2}{5}\right) -\left(\frac{-4}{11}\right)\\= \frac{-6}{5}- \frac{2}{5}+\frac{4}{11}\\=\frac{-66}{55}-\frac{22}{55}+\frac{20}{55}\\=\frac{-66-22+20}{55}\\=\frac{-68}{55}\)
2. \(-\left(\frac{-7}{3}\right) -\left(\frac{7}{10}\right) -\left(\frac{-6}{-9}\right)\\= \frac{7}{3}- \frac{7}{10}-\frac{6}{9}\\=\frac{7}{3}-\frac{7}{10}-\frac{2}{3}\\=\frac{70}{30}-\frac{21}{30}-\frac{20}{30}\\=\frac{70-21-20}{30}\\=\frac{29}{30}\)
3. \(-\left(\frac{-6}{5}\right) +\left(\frac{6}{-2}\right) +\left(\frac{9}{9}\right)\\= \frac{6}{5}- \frac{6}{2}+\frac{9}{9}\\=\frac{6}{5}-\frac{3}{1}+\frac{1}{1}\\=\frac{6-3+1}{5}\\=\frac{4}{5}\)
4. \(+\left(\frac{-7}{-2}\right) +\left(\frac{-4}{-2}\right) +\left(\frac{-8}{2}\right)\\= \frac{7}{2}+ \frac{4}{2}-\frac{8}{2}\\=\frac{7}{2}+\frac{2}{1}-\frac{4}{1}\\=\frac{7+2-4}{2}\\=\frac{5}{2}\)
5. \(+\left(\frac{-9}{-7}\right) -\left(\frac{7}{9}\right) +\left(\frac{9}{4}\right)\\= \frac{9}{7}- \frac{7}{9}+\frac{9}{4}\\=\frac{324}{252}-\frac{196}{252}+\frac{567}{252}\\=\frac{324-196+567}{252}\\=\frac{695}{252}\)
6. \(+\left(\frac{2}{9}\right) +\left(\frac{7}{5}\right) -\left(\frac{2}{-6}\right)\\= \frac{2}{9}+ \frac{7}{5}+\frac{2}{6}\\=\frac{2}{9}+\frac{7}{5}+\frac{1}{3}\\=\frac{10}{45}+\frac{63}{45}+\frac{15}{45}\\=\frac{10+63+15}{45}\\=\frac{88}{45}\)
7. \(-\left(\frac{-7}{8}\right) -\left(\frac{-9}{6}\right) -\left(\frac{-4}{4}\right)\\= \frac{7}{8}+ \frac{9}{6}+\frac{4}{4}\\=\frac{7}{8}+\frac{3}{2}+\frac{1}{1}\\=\frac{7+3+1}{8}\\=\frac{11}{8}\)
8. \(+\left(\frac{-2}{-3}\right) +\left(\frac{4}{-3}\right) -\left(\frac{-4}{7}\right)\\= \frac{2}{3}- \frac{4}{3}+\frac{4}{7}\\=\frac{14}{21}-\frac{28}{21}+\frac{12}{21}\\=\frac{14-28+12}{21}\\=\frac{-2}{21}\)
9. \(-\left(\frac{10}{3}\right) +\left(\frac{-5}{-4}\right) +\left(\frac{11}{-9}\right)\\= \frac{-10}{3}+ \frac{5}{4}-\frac{11}{9}\\=\frac{-120}{36}+\frac{45}{36}-\frac{44}{36}\\=\frac{-120+45-44}{36}\\=\frac{-119}{36}\)
10. \(+\left(\frac{-10}{9}\right) -\left(\frac{-9}{-7}\right) -\left(\frac{-12}{8}\right)\\= \frac{-10}{9}- \frac{9}{7}+\frac{12}{8}\\=\frac{-10}{9}-\frac{9}{7}+\frac{3}{2}\\=\frac{-140}{126}-\frac{162}{126}+\frac{189}{126}\\=\frac{-140-162+189}{126}\\=\frac{-113}{126}\)
11. \(-\left(\frac{6}{-5}\right) +\left(\frac{9}{-3}\right) -\left(\frac{-5}{11}\right)\\= \frac{6}{5}- \frac{9}{3}+\frac{5}{11}\\=\frac{6}{5}-\frac{3}{1}+\frac{5}{11}\\=\frac{66}{55}-\frac{165}{55}+\frac{25}{55}\\=\frac{66-165+25}{55}\\=\frac{-74}{55}\)
12. \(+\left(\frac{-4}{3}\right) +\left(\frac{-4}{7}\right) -\left(\frac{-5}{8}\right)\\= \frac{-4}{3}- \frac{4}{7}+\frac{5}{8}\\=\frac{-224}{168}-\frac{96}{168}+\frac{105}{168}\\=\frac{-224-96+105}{168}\\=\frac{-215}{168}\)