Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{-13}\right)-\left(\frac{7}{2}\right)\\= \frac{-12}{13}-\frac{7}{2}\\=\frac{-24}{26}-\frac{91}{26}\\=\frac{-24-91}{26}\\=\frac{-115}{26}\)
2. \(+\left(\frac{9}{-8}\right)+\left(\frac{2}{7}\right)\\= \frac{-9}{8}+\frac{2}{7}\\=\frac{-63}{56}+\frac{16}{56}\\=\frac{-63+16}{56}\\=\frac{-47}{56}\)
3. \(-\left(\frac{-9}{7}\right)-\left(\frac{-9}{13}\right)\\= \frac{9}{7}+\frac{9}{13}\\=\frac{117}{91}+\frac{63}{91}\\=\frac{117+63}{91}\\=\frac{180}{91}\)
4. \(+\left(\frac{12}{11}\right)+\left(\frac{7}{2}\right)\\= \frac{12}{11}+\frac{7}{2}\\=\frac{24}{22}+\frac{77}{22}\\=\frac{24+77}{22}\\=\frac{101}{22}\)
5. \(+\left(\frac{-7}{3}\right)+\left(\frac{11}{14}\right)\\= \frac{-7}{3}+\frac{11}{14}\\=\frac{-98}{42}+\frac{33}{42}\\=\frac{-98+33}{42}\\=\frac{-65}{42}\)
6. \(+\left(\frac{9}{2}\right)+\left(\frac{-7}{3}\right)\\= \frac{9}{2}-\frac{7}{3}\\=\frac{27}{6}-\frac{14}{6}\\=\frac{27-14}{6}\\=\frac{13}{6}\)
7. \(+\left(\frac{-3}{14}\right)+\left(\frac{13}{-7}\right)\\= \frac{-3}{14}-\frac{13}{7}\\=\frac{-3-13}{14}\\=\frac{-16}{14}\\=\frac{-8}{7}\)
8. \(+\left(\frac{6}{-5}\right)-\left(\frac{2}{3}\right)\\= \frac{-6}{5}-\frac{2}{3}\\=\frac{-18}{15}-\frac{10}{15}\\=\frac{-18-10}{15}\\=\frac{-28}{15}\)
9. \(-\left(\frac{-7}{-10}\right)-\left(\frac{-11}{-7}\right)\\= \frac{-7}{10}-\frac{11}{7}\\=\frac{-49}{70}-\frac{110}{70}\\=\frac{-49-110}{70}\\=\frac{-159}{70}\)
10. \(+\left(\frac{-13}{9}\right)+\left(\frac{8}{-7}\right)\\= \frac{-13}{9}-\frac{8}{7}\\=\frac{-91}{63}-\frac{72}{63}\\=\frac{-91-72}{63}\\=\frac{-163}{63}\)
11. \(+\left(\frac{4}{3}\right)+\left(\frac{12}{5}\right)\\= \frac{4}{3}+\frac{12}{5}\\=\frac{20}{15}+\frac{36}{15}\\=\frac{20+36}{15}\\=\frac{56}{15}\)
12. \(+\left(\frac{5}{-3}\right)-\left(\frac{9}{7}\right)\\= \frac{-5}{3}-\frac{9}{7}\\=\frac{-35}{21}-\frac{27}{21}\\=\frac{-35-27}{21}\\=\frac{-62}{21}\)