Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-2}\right)+\left(\frac{15}{-7}\right)\\= \frac{-5}{2}-\frac{15}{7}\\=\frac{-35}{14}-\frac{30}{14}\\=\frac{-35-30}{14}\\=\frac{-65}{14}\)
2. \(+\left(\frac{-10}{-7}\right)+\left(\frac{13}{9}\right)\\= \frac{10}{7}+\frac{13}{9}\\=\frac{90}{63}+\frac{91}{63}\\=\frac{90+91}{63}\\=\frac{181}{63}\)
3. \(-\left(\frac{-12}{11}\right)+\left(\frac{-13}{2}\right)\\= \frac{12}{11}-\frac{13}{2}\\=\frac{24}{22}-\frac{143}{22}\\=\frac{24-143}{22}\\=\frac{-119}{22}\)
4. \(-\left(\frac{-8}{-7}\right)+\left(\frac{13}{-7}\right)\\= \frac{-8}{7}-\frac{13}{7}\\=\frac{-8-13}{7}\\=\frac{-21}{7}\\=\frac{-3}{1}\)
5. \(+\left(\frac{-10}{3}\right)+\left(\frac{15}{8}\right)\\= \frac{-10}{3}+\frac{15}{8}\\=\frac{-80}{24}+\frac{45}{24}\\=\frac{-80+45}{24}\\=\frac{-35}{24}\)
6. \(-\left(\frac{13}{14}\right)-\left(\frac{-11}{9}\right)\\= \frac{-13}{14}+\frac{11}{9}\\=\frac{-117}{126}+\frac{154}{126}\\=\frac{-117+154}{126}\\=\frac{37}{126}\)
7. \(-\left(\frac{13}{-5}\right)-\left(\frac{4}{7}\right)\\= \frac{13}{5}-\frac{4}{7}\\=\frac{91}{35}-\frac{20}{35}\\=\frac{91-20}{35}\\=\frac{71}{35}\)
8. \(-\left(\frac{13}{14}\right)+\left(\frac{2}{-13}\right)\\= \frac{-13}{14}-\frac{2}{13}\\=\frac{-169}{182}-\frac{28}{182}\\=\frac{-169-28}{182}\\=\frac{-197}{182}\)
9. \(+\left(\frac{7}{-13}\right)-\left(\frac{10}{7}\right)\\= \frac{-7}{13}-\frac{10}{7}\\=\frac{-49}{91}-\frac{130}{91}\\=\frac{-49-130}{91}\\=\frac{-179}{91}\)
10. \(+\left(\frac{4}{5}\right)+\left(\frac{-4}{7}\right)\\= \frac{4}{5}-\frac{4}{7}\\=\frac{28}{35}-\frac{20}{35}\\=\frac{28-20}{35}\\=\frac{8}{35}\)
11. \(-\left(\frac{13}{-11}\right)-\left(\frac{-8}{-3}\right)\\= \frac{13}{11}-\frac{8}{3}\\=\frac{39}{33}-\frac{88}{33}\\=\frac{39-88}{33}\\=\frac{-49}{33}\)
12. \(-\left(\frac{-6}{11}\right)+\left(\frac{-10}{-11}\right)\\= \frac{6}{11}+\frac{10}{11}\\=\frac{6+10}{11}\\=\frac{16}{11}\)