Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{4}{3}\right)-\left(\frac{2}{-3}\right)\\= \frac{-4}{3}+\frac{2}{3}\\=\frac{-4+2}{3}\\=\frac{-2}{3}\)
2. \(+\left(\frac{-5}{-6}\right)-\left(\frac{10}{13}\right)\\= \frac{5}{6}-\frac{10}{13}\\=\frac{65}{78}-\frac{60}{78}\\=\frac{65-60}{78}\\=\frac{5}{78}\)
3. \(-\left(\frac{12}{5}\right)+\left(\frac{7}{-4}\right)\\= \frac{-12}{5}-\frac{7}{4}\\=\frac{-48}{20}-\frac{35}{20}\\=\frac{-48-35}{20}\\=\frac{-83}{20}\)
4. \(-\left(\frac{-15}{-4}\right)-\left(\frac{5}{6}\right)\\= \frac{-15}{4}-\frac{5}{6}\\=\frac{-45}{12}-\frac{10}{12}\\=\frac{-45-10}{12}\\=\frac{-55}{12}\)
5. \(-\left(\frac{-10}{7}\right)-\left(\frac{2}{13}\right)\\= \frac{10}{7}-\frac{2}{13}\\=\frac{130}{91}-\frac{14}{91}\\=\frac{130-14}{91}\\=\frac{116}{91}\)
6. \(-\left(\frac{2}{-3}\right)+\left(\frac{8}{9}\right)\\= \frac{2}{3}+\frac{8}{9}\\=\frac{6}{9}+\frac{8}{9}\\=\frac{6+8}{9}\\=\frac{14}{9}\)
7. \(+\left(\frac{4}{-13}\right)-\left(\frac{-3}{7}\right)\\= \frac{-4}{13}+\frac{3}{7}\\=\frac{-28}{91}+\frac{39}{91}\\=\frac{-28+39}{91}\\=\frac{11}{91}\)
8. \(-\left(\frac{-3}{-14}\right)-\left(\frac{-13}{-8}\right)\\= \frac{-3}{14}-\frac{13}{8}\\=\frac{-12}{56}-\frac{91}{56}\\=\frac{-12-91}{56}\\=\frac{-103}{56}\)
9. \(+\left(\frac{6}{-5}\right)-\left(\frac{-13}{-8}\right)\\= \frac{-6}{5}-\frac{13}{8}\\=\frac{-48}{40}-\frac{65}{40}\\=\frac{-48-65}{40}\\=\frac{-113}{40}\)
10. \(-\left(\frac{2}{3}\right)+\left(\frac{5}{-8}\right)\\= \frac{-2}{3}-\frac{5}{8}\\=\frac{-16}{24}-\frac{15}{24}\\=\frac{-16-15}{24}\\=\frac{-31}{24}\)
11. \(-\left(\frac{4}{-3}\right)+\left(\frac{12}{11}\right)\\= \frac{4}{3}+\frac{12}{11}\\=\frac{44}{33}+\frac{36}{33}\\=\frac{44+36}{33}\\=\frac{80}{33}\)
12. \(-\left(\frac{3}{-7}\right)-\left(\frac{12}{5}\right)\\= \frac{3}{7}-\frac{12}{5}\\=\frac{15}{35}-\frac{84}{35}\\=\frac{15-84}{35}\\=\frac{-69}{35}\)