Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(+\left(\frac{-5}{-9}\right)-\left(\frac{8}{5}\right)\)
2. \(+\left(\frac{-14}{3}\right)+\left(\frac{11}{2}\right)\)
3. \(-\left(\frac{7}{-2}\right)+\left(\frac{15}{7}\right)\)
4. \(-\left(\frac{-7}{-2}\right)+\left(\frac{9}{7}\right)\)
5. \(+\left(\frac{12}{-5}\right)+\left(\frac{-6}{-7}\right)\)
6. \(-\left(\frac{6}{11}\right)-\left(\frac{2}{-3}\right)\)
7. \(+\left(\frac{15}{4}\right)-\left(\frac{8}{3}\right)\)
8. \(+\left(\frac{12}{5}\right)-\left(\frac{9}{-5}\right)\)
9. \(-\left(\frac{7}{9}\right)+\left(\frac{13}{-12}\right)\)
10. \(+\left(\frac{14}{11}\right)-\left(\frac{-6}{11}\right)\)
11. \(-\left(\frac{11}{-9}\right)-\left(\frac{7}{2}\right)\)
12. \(-\left(\frac{5}{-9}\right)+\left(\frac{15}{-11}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{-5}{-9}\right)-\left(\frac{8}{5}\right)\\= \frac{5}{9}-\frac{8}{5}\\=\frac{25}{45}-\frac{72}{45}\\=\frac{25-72}{45}\\=\frac{-47}{45}\)
2. \(+\left(\frac{-14}{3}\right)+\left(\frac{11}{2}\right)\\= \frac{-14}{3}+\frac{11}{2}\\=\frac{-28}{6}+\frac{33}{6}\\=\frac{-28+33}{6}\\=\frac{5}{6}\)
3. \(-\left(\frac{7}{-2}\right)+\left(\frac{15}{7}\right)\\= \frac{7}{2}+\frac{15}{7}\\=\frac{49}{14}+\frac{30}{14}\\=\frac{49+30}{14}\\=\frac{79}{14}\)
4. \(-\left(\frac{-7}{-2}\right)+\left(\frac{9}{7}\right)\\= \frac{-7}{2}+\frac{9}{7}\\=\frac{-49}{14}+\frac{18}{14}\\=\frac{-49+18}{14}\\=\frac{-31}{14}\)
5. \(+\left(\frac{12}{-5}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-12}{5}+\frac{6}{7}\\=\frac{-84}{35}+\frac{30}{35}\\=\frac{-84+30}{35}\\=\frac{-54}{35}\)
6. \(-\left(\frac{6}{11}\right)-\left(\frac{2}{-3}\right)\\= \frac{-6}{11}+\frac{2}{3}\\=\frac{-18}{33}+\frac{22}{33}\\=\frac{-18+22}{33}\\=\frac{4}{33}\)
7. \(+\left(\frac{15}{4}\right)-\left(\frac{8}{3}\right)\\= \frac{15}{4}-\frac{8}{3}\\=\frac{45}{12}-\frac{32}{12}\\=\frac{45-32}{12}\\=\frac{13}{12}\)
8. \(+\left(\frac{12}{5}\right)-\left(\frac{9}{-5}\right)\\= \frac{12}{5}+\frac{9}{5}\\=\frac{12+9}{5}\\=\frac{21}{5}\)
9. \(-\left(\frac{7}{9}\right)+\left(\frac{13}{-12}\right)\\= \frac{-7}{9}-\frac{13}{12}\\=\frac{-28}{36}-\frac{39}{36}\\=\frac{-28-39}{36}\\=\frac{-67}{36}\)
10. \(+\left(\frac{14}{11}\right)-\left(\frac{-6}{11}\right)\\= \frac{14}{11}+\frac{6}{11}\\=\frac{14+6}{11}\\=\frac{20}{11}\)
11. \(-\left(\frac{11}{-9}\right)-\left(\frac{7}{2}\right)\\= \frac{11}{9}-\frac{7}{2}\\=\frac{22}{18}-\frac{63}{18}\\=\frac{22-63}{18}\\=\frac{-41}{18}\)
12. \(-\left(\frac{5}{-9}\right)+\left(\frac{15}{-11}\right)\\= \frac{5}{9}-\frac{15}{11}\\=\frac{55}{99}-\frac{135}{99}\\=\frac{55-135}{99}\\=\frac{-80}{99}\)