Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{10}{-3}\right)+\left(\frac{14}{-3}\right)\\= \frac{10}{3}-\frac{14}{3}\\=\frac{10-14}{3}\\=\frac{-4}{3}\)
2. \(-\left(\frac{11}{8}\right)+\left(\frac{9}{4}\right)\\= \frac{-11}{8}+\frac{9}{4}\\=\frac{-11+9}{8}\\=\frac{-2}{8}\\=\frac{-1}{4}\)
3. \(+\left(\frac{10}{9}\right)+\left(\frac{9}{-2}\right)\\= \frac{10}{9}-\frac{9}{2}\\=\frac{20}{18}-\frac{81}{18}\\=\frac{20-81}{18}\\=\frac{-61}{18}\)
4. \(+\left(\frac{4}{5}\right)-\left(\frac{2}{-5}\right)\\= \frac{4}{5}+\frac{2}{5}\\=\frac{4+2}{5}\\=\frac{6}{5}\)
5. \(-\left(\frac{13}{-6}\right)-\left(\frac{12}{-7}\right)\\= \frac{13}{6}+\frac{12}{7}\\=\frac{91}{42}+\frac{72}{42}\\=\frac{91+72}{42}\\=\frac{163}{42}\)
6. \(+\left(\frac{13}{8}\right)+\left(\frac{-11}{-13}\right)\\= \frac{13}{8}+\frac{11}{13}\\=\frac{169}{104}+\frac{88}{104}\\=\frac{169+88}{104}\\=\frac{257}{104}\)
7. \(-\left(\frac{-3}{8}\right)-\left(\frac{2}{7}\right)\\= \frac{3}{8}-\frac{2}{7}\\=\frac{21}{56}-\frac{16}{56}\\=\frac{21-16}{56}\\=\frac{5}{56}\)
8. \(+\left(\frac{-4}{3}\right)-\left(\frac{-11}{-7}\right)\\= \frac{-4}{3}-\frac{11}{7}\\=\frac{-28}{21}-\frac{33}{21}\\=\frac{-28-33}{21}\\=\frac{-61}{21}\)
9. \(-\left(\frac{14}{11}\right)-\left(\frac{7}{4}\right)\\= \frac{-14}{11}-\frac{7}{4}\\=\frac{-56}{44}-\frac{77}{44}\\=\frac{-56-77}{44}\\=\frac{-133}{44}\)
10. \(+\left(\frac{13}{-14}\right)-\left(\frac{-6}{5}\right)\\= \frac{-13}{14}+\frac{6}{5}\\=\frac{-65}{70}+\frac{84}{70}\\=\frac{-65+84}{70}\\=\frac{19}{70}\)
11. \(-\left(\frac{14}{9}\right)+\left(\frac{-15}{11}\right)\\= \frac{-14}{9}-\frac{15}{11}\\=\frac{-154}{99}-\frac{135}{99}\\=\frac{-154-135}{99}\\=\frac{-289}{99}\)
12. \(-\left(\frac{15}{7}\right)-\left(\frac{-7}{9}\right)\\= \frac{-15}{7}+\frac{7}{9}\\=\frac{-135}{63}+\frac{49}{63}\\=\frac{-135+49}{63}\\=\frac{-86}{63}\)