Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{14}{5}\right)+\left(\frac{3}{2}\right)\\= \frac{14}{5}+\frac{3}{2}\\=\frac{28}{10}+\frac{15}{10}\\=\frac{28+15}{10}\\=\frac{43}{10}\)
2. \(-\left(\frac{4}{3}\right)+\left(\frac{-6}{13}\right)\\= \frac{-4}{3}-\frac{6}{13}\\=\frac{-52}{39}-\frac{18}{39}\\=\frac{-52-18}{39}\\=\frac{-70}{39}\)
3. \(-\left(\frac{-13}{-6}\right)+\left(\frac{10}{-3}\right)\\= \frac{-13}{6}-\frac{10}{3}\\=\frac{-13-10}{6}\\=\frac{-23}{6}\)
4. \(+\left(\frac{2}{-7}\right)+\left(\frac{-12}{-13}\right)\\= \frac{-2}{7}+\frac{12}{13}\\=\frac{-26}{91}+\frac{84}{91}\\=\frac{-26+84}{91}\\=\frac{58}{91}\)
5. \(-\left(\frac{7}{11}\right)-\left(\frac{-7}{2}\right)\\= \frac{-7}{11}+\frac{7}{2}\\=\frac{-14}{22}+\frac{77}{22}\\=\frac{-14+77}{22}\\=\frac{63}{22}\)
6. \(+\left(\frac{-12}{-5}\right)+\left(\frac{6}{-11}\right)\\= \frac{12}{5}-\frac{6}{11}\\=\frac{132}{55}-\frac{30}{55}\\=\frac{132-30}{55}\\=\frac{102}{55}\)
7. \(-\left(\frac{2}{7}\right)+\left(\frac{-9}{13}\right)\\= \frac{-2}{7}-\frac{9}{13}\\=\frac{-26}{91}-\frac{63}{91}\\=\frac{-26-63}{91}\\=\frac{-89}{91}\)
8. \(+\left(\frac{-12}{5}\right)+\left(\frac{-6}{-7}\right)\\= \frac{-12}{5}+\frac{6}{7}\\=\frac{-84}{35}+\frac{30}{35}\\=\frac{-84+30}{35}\\=\frac{-54}{35}\)
9. \(-\left(\frac{8}{13}\right)+\left(\frac{12}{-11}\right)\\= \frac{-8}{13}-\frac{12}{11}\\=\frac{-88}{143}-\frac{156}{143}\\=\frac{-88-156}{143}\\=\frac{-244}{143}\)
10. \(-\left(\frac{-5}{-2}\right)-\left(\frac{6}{11}\right)\\= \frac{-5}{2}-\frac{6}{11}\\=\frac{-55}{22}-\frac{12}{22}\\=\frac{-55-12}{22}\\=\frac{-67}{22}\)
11. \(-\left(\frac{9}{10}\right)+\left(\frac{6}{13}\right)\\= \frac{-9}{10}+\frac{6}{13}\\=\frac{-117}{130}+\frac{60}{130}\\=\frac{-117+60}{130}\\=\frac{-57}{130}\)
12. \(+\left(\frac{-13}{6}\right)-\left(\frac{-4}{-5}\right)\\= \frac{-13}{6}-\frac{4}{5}\\=\frac{-65}{30}-\frac{24}{30}\\=\frac{-65-24}{30}\\=\frac{-89}{30}\)