Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-15}{13}\right)-\left(\frac{-15}{11}\right)\\= \frac{-15}{13}+\frac{15}{11}\\=\frac{-165}{143}+\frac{195}{143}\\=\frac{-165+195}{143}\\=\frac{30}{143}\)
2. \(+\left(\frac{6}{-5}\right)+\left(\frac{4}{3}\right)\\= \frac{-6}{5}+\frac{4}{3}\\=\frac{-18}{15}+\frac{20}{15}\\=\frac{-18+20}{15}\\=\frac{2}{15}\)
3. \(-\left(\frac{6}{11}\right)+\left(\frac{11}{3}\right)\\= \frac{-6}{11}+\frac{11}{3}\\=\frac{-18}{33}+\frac{121}{33}\\=\frac{-18+121}{33}\\=\frac{103}{33}\)
4. \(-\left(\frac{-6}{-5}\right)-\left(\frac{-8}{3}\right)\\= \frac{-6}{5}+\frac{8}{3}\\=\frac{-18}{15}+\frac{40}{15}\\=\frac{-18+40}{15}\\=\frac{22}{15}\)
5. \(-\left(\frac{12}{-5}\right)-\left(\frac{-5}{-6}\right)\\= \frac{12}{5}-\frac{5}{6}\\=\frac{72}{30}-\frac{25}{30}\\=\frac{72-25}{30}\\=\frac{47}{30}\)
6. \(+\left(\frac{-10}{-13}\right)+\left(\frac{6}{11}\right)\\= \frac{10}{13}+\frac{6}{11}\\=\frac{110}{143}+\frac{78}{143}\\=\frac{110+78}{143}\\=\frac{188}{143}\)
7. \(-\left(\frac{5}{11}\right)+\left(\frac{8}{13}\right)\\= \frac{-5}{11}+\frac{8}{13}\\=\frac{-65}{143}+\frac{88}{143}\\=\frac{-65+88}{143}\\=\frac{23}{143}\)
8. \(+\left(\frac{-10}{7}\right)+\left(\frac{8}{3}\right)\\= \frac{-10}{7}+\frac{8}{3}\\=\frac{-30}{21}+\frac{56}{21}\\=\frac{-30+56}{21}\\=\frac{26}{21}\)
9. \(+\left(\frac{-5}{-6}\right)+\left(\frac{8}{5}\right)\\= \frac{5}{6}+\frac{8}{5}\\=\frac{25}{30}+\frac{48}{30}\\=\frac{25+48}{30}\\=\frac{73}{30}\)
10. \(-\left(\frac{5}{2}\right)-\left(\frac{14}{-3}\right)\\= \frac{-5}{2}+\frac{14}{3}\\=\frac{-15}{6}+\frac{28}{6}\\=\frac{-15+28}{6}\\=\frac{13}{6}\)
11. \(+\left(\frac{-4}{-11}\right)-\left(\frac{-2}{7}\right)\\= \frac{4}{11}+\frac{2}{7}\\=\frac{28}{77}+\frac{22}{77}\\=\frac{28+22}{77}\\=\frac{50}{77}\)
12. \(+\left(\frac{14}{11}\right)+\left(\frac{5}{-7}\right)\\= \frac{14}{11}-\frac{5}{7}\\=\frac{98}{77}-\frac{55}{77}\\=\frac{98-55}{77}\\=\frac{43}{77}\)