Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{-12}\right)-\left(\frac{7}{2}\right)\\= \frac{-7}{12}-\frac{7}{2}\\=\frac{-7-7}{12}\\=\frac{-14}{12}\\=\frac{-7}{6}\)
2. \(+\left(\frac{3}{-13}\right)-\left(\frac{-14}{9}\right)\\= \frac{-3}{13}+\frac{14}{9}\\=\frac{-27}{117}+\frac{182}{117}\\=\frac{-27+182}{117}\\=\frac{155}{117}\)
3. \(-\left(\frac{-12}{11}\right)+\left(\frac{-14}{-3}\right)\\= \frac{12}{11}+\frac{14}{3}\\=\frac{36}{33}+\frac{154}{33}\\=\frac{36+154}{33}\\=\frac{190}{33}\)
4. \(-\left(\frac{-7}{-2}\right)+\left(\frac{-12}{5}\right)\\= \frac{-7}{2}-\frac{12}{5}\\=\frac{-35}{10}-\frac{24}{10}\\=\frac{-35-24}{10}\\=\frac{-59}{10}\)
5. \(-\left(\frac{3}{-8}\right)+\left(\frac{-4}{9}\right)\\= \frac{3}{8}-\frac{4}{9}\\=\frac{27}{72}-\frac{32}{72}\\=\frac{27-32}{72}\\=\frac{-5}{72}\)
6. \(+\left(\frac{-10}{-3}\right)+\left(\frac{7}{-9}\right)\\= \frac{10}{3}-\frac{7}{9}\\=\frac{30}{9}-\frac{7}{9}\\=\frac{30-7}{9}\\=\frac{23}{9}\)
7. \(-\left(\frac{-15}{-2}\right)+\left(\frac{14}{-5}\right)\\= \frac{-15}{2}-\frac{14}{5}\\=\frac{-75}{10}-\frac{28}{10}\\=\frac{-75-28}{10}\\=\frac{-103}{10}\)
8. \(-\left(\frac{-11}{-7}\right)-\left(\frac{3}{7}\right)\\= \frac{-11}{7}-\frac{3}{7}\\=\frac{-11-3}{7}\\=\frac{-14}{7}\\=\frac{-2}{1}\)
9. \(+\left(\frac{14}{9}\right)-\left(\frac{-12}{11}\right)\\= \frac{14}{9}+\frac{12}{11}\\=\frac{154}{99}+\frac{108}{99}\\=\frac{154+108}{99}\\=\frac{262}{99}\)
10. \(-\left(\frac{11}{8}\right)+\left(\frac{3}{-2}\right)\\= \frac{-11}{8}-\frac{3}{2}\\=\frac{-11-3}{8}\\=\frac{-14}{8}\\=\frac{-7}{4}\)
11. \(+\left(\frac{-7}{-3}\right)+\left(\frac{-12}{5}\right)\\= \frac{7}{3}-\frac{12}{5}\\=\frac{35}{15}-\frac{36}{15}\\=\frac{35-36}{15}\\=\frac{-1}{15}\)
12. \(-\left(\frac{-8}{-3}\right)-\left(\frac{8}{-9}\right)\\= \frac{-8}{3}+\frac{8}{9}\\=\frac{-24}{9}+\frac{8}{9}\\=\frac{-24+8}{9}\\=\frac{-16}{9}\)