Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{5}\right)+\left(\frac{12}{-5}\right)\\= \frac{14}{5}-\frac{12}{5}\\=\frac{14-12}{5}\\=\frac{2}{5}\)
2. \(+\left(\frac{8}{3}\right)+\left(\frac{14}{11}\right)\\= \frac{8}{3}+\frac{14}{11}\\=\frac{88}{33}+\frac{42}{33}\\=\frac{88+42}{33}\\=\frac{130}{33}\)
3. \(+\left(\frac{-10}{-7}\right)-\left(\frac{6}{11}\right)\\= \frac{10}{7}-\frac{6}{11}\\=\frac{110}{77}-\frac{42}{77}\\=\frac{110-42}{77}\\=\frac{68}{77}\)
4. \(+\left(\frac{-9}{-8}\right)-\left(\frac{-12}{11}\right)\\= \frac{9}{8}+\frac{12}{11}\\=\frac{99}{88}+\frac{96}{88}\\=\frac{99+96}{88}\\=\frac{195}{88}\)
5. \(-\left(\frac{15}{-13}\right)-\left(\frac{13}{-11}\right)\\= \frac{15}{13}+\frac{13}{11}\\=\frac{165}{143}+\frac{169}{143}\\=\frac{165+169}{143}\\=\frac{334}{143}\)
6. \(+\left(\frac{11}{-7}\right)+\left(\frac{2}{-13}\right)\\= \frac{-11}{7}-\frac{2}{13}\\=\frac{-143}{91}-\frac{14}{91}\\=\frac{-143-14}{91}\\=\frac{-157}{91}\)
7. \(-\left(\frac{12}{-5}\right)-\left(\frac{-15}{-4}\right)\\= \frac{12}{5}-\frac{15}{4}\\=\frac{48}{20}-\frac{75}{20}\\=\frac{48-75}{20}\\=\frac{-27}{20}\)
8. \(+\left(\frac{15}{-13}\right)+\left(\frac{-9}{14}\right)\\= \frac{-15}{13}-\frac{9}{14}\\=\frac{-210}{182}-\frac{117}{182}\\=\frac{-210-117}{182}\\=\frac{-327}{182}\)
9. \(-\left(\frac{-11}{-10}\right)+\left(\frac{-8}{3}\right)\\= \frac{-11}{10}-\frac{8}{3}\\=\frac{-33}{30}-\frac{80}{30}\\=\frac{-33-80}{30}\\=\frac{-113}{30}\)
10. \(-\left(\frac{-3}{-13}\right)+\left(\frac{14}{3}\right)\\= \frac{-3}{13}+\frac{14}{3}\\=\frac{-9}{39}+\frac{182}{39}\\=\frac{-9+182}{39}\\=\frac{173}{39}\)
11. \(+\left(\frac{8}{-13}\right)-\left(\frac{10}{-7}\right)\\= \frac{-8}{13}+\frac{10}{7}\\=\frac{-56}{91}+\frac{130}{91}\\=\frac{-56+130}{91}\\=\frac{74}{91}\)
12. \(+\left(\frac{13}{-8}\right)+\left(\frac{-3}{7}\right)\\= \frac{-13}{8}-\frac{3}{7}\\=\frac{-91}{56}-\frac{24}{56}\\=\frac{-91-24}{56}\\=\frac{-115}{56}\)