Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{8}{3}\right)+\left(\frac{-8}{3}\right)\\= \frac{-8}{3}-\frac{8}{3}\\=\frac{-8-8}{3}\\=\frac{-16}{3}\)
2. \(-\left(\frac{-15}{-7}\right)+\left(\frac{3}{2}\right)\\= \frac{-15}{7}+\frac{3}{2}\\=\frac{-30}{14}+\frac{21}{14}\\=\frac{-30+21}{14}\\=\frac{-9}{14}\)
3. \(-\left(\frac{13}{-10}\right)+\left(\frac{-8}{-3}\right)\\= \frac{13}{10}+\frac{8}{3}\\=\frac{39}{30}+\frac{80}{30}\\=\frac{39+80}{30}\\=\frac{119}{30}\)
4. \(-\left(\frac{4}{-9}\right)+\left(\frac{-15}{-7}\right)\\= \frac{4}{9}+\frac{15}{7}\\=\frac{28}{63}+\frac{135}{63}\\=\frac{28+135}{63}\\=\frac{163}{63}\)
5. \(-\left(\frac{13}{-7}\right)+\left(\frac{13}{-7}\right)\\= \frac{13}{7}-\frac{13}{7}\\=\frac{13-13}{7}\\=\frac{0}{7}\\=\frac{0}{1}\)
6. \(+\left(\frac{-8}{-9}\right)-\left(\frac{15}{2}\right)\\= \frac{8}{9}-\frac{15}{2}\\=\frac{16}{18}-\frac{135}{18}\\=\frac{16-135}{18}\\=\frac{-119}{18}\)
7. \(+\left(\frac{6}{13}\right)+\left(\frac{-9}{8}\right)\\= \frac{6}{13}-\frac{9}{8}\\=\frac{48}{104}-\frac{117}{104}\\=\frac{48-117}{104}\\=\frac{-69}{104}\)
8. \(-\left(\frac{9}{10}\right)+\left(\frac{9}{-2}\right)\\= \frac{-9}{10}-\frac{9}{2}\\=\frac{-9-9}{10}\\=\frac{-18}{10}\\=\frac{-9}{5}\)
9. \(-\left(\frac{3}{14}\right)-\left(\frac{12}{-5}\right)\\= \frac{-3}{14}+\frac{12}{5}\\=\frac{-15}{70}+\frac{168}{70}\\=\frac{-15+168}{70}\\=\frac{153}{70}\)
10. \(+\left(\frac{10}{7}\right)+\left(\frac{-5}{11}\right)\\= \frac{10}{7}-\frac{5}{11}\\=\frac{110}{77}-\frac{35}{77}\\=\frac{110-35}{77}\\=\frac{75}{77}\)
11. \(+\left(\frac{-2}{9}\right)+\left(\frac{5}{-11}\right)\\= \frac{-2}{9}-\frac{5}{11}\\=\frac{-22}{99}-\frac{45}{99}\\=\frac{-22-45}{99}\\=\frac{-67}{99}\)
12. \(-\left(\frac{-7}{6}\right)-\left(\frac{-15}{-11}\right)\\= \frac{7}{6}-\frac{15}{11}\\=\frac{77}{66}-\frac{90}{66}\\=\frac{77-90}{66}\\=\frac{-13}{66}\)