Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{-8}\right)+\left(\frac{-7}{6}\right)\\= \frac{7}{8}-\frac{7}{6}\\=\frac{21}{24}-\frac{28}{24}\\=\frac{21-28}{24}\\=\frac{-7}{24}\)
2. \(-\left(\frac{-13}{8}\right)+\left(\frac{3}{-5}\right)\\= \frac{13}{8}-\frac{3}{5}\\=\frac{65}{40}-\frac{24}{40}\\=\frac{65-24}{40}\\=\frac{41}{40}\)
3. \(-\left(\frac{14}{-11}\right)+\left(\frac{13}{14}\right)\\= \frac{14}{11}+\frac{13}{14}\\=\frac{196}{154}+\frac{143}{154}\\=\frac{196+143}{154}\\=\frac{339}{154}\)
4. \(+\left(\frac{-15}{-14}\right)-\left(\frac{2}{13}\right)\\= \frac{15}{14}-\frac{2}{13}\\=\frac{195}{182}-\frac{28}{182}\\=\frac{195-28}{182}\\=\frac{167}{182}\)
5. \(-\left(\frac{-6}{-11}\right)+\left(\frac{-11}{-14}\right)\\= \frac{-6}{11}+\frac{11}{14}\\=\frac{-84}{154}+\frac{121}{154}\\=\frac{-84+121}{154}\\=\frac{37}{154}\)
6. \(+\left(\frac{12}{11}\right)+\left(\frac{-6}{11}\right)\\= \frac{12}{11}-\frac{6}{11}\\=\frac{12-6}{11}\\=\frac{6}{11}\)
7. \(-\left(\frac{7}{2}\right)+\left(\frac{5}{3}\right)\\= \frac{-7}{2}+\frac{5}{3}\\=\frac{-21}{6}+\frac{10}{6}\\=\frac{-21+10}{6}\\=\frac{-11}{6}\)
8. \(-\left(\frac{-6}{7}\right)-\left(\frac{-9}{-10}\right)\\= \frac{6}{7}-\frac{9}{10}\\=\frac{60}{70}-\frac{63}{70}\\=\frac{60-63}{70}\\=\frac{-3}{70}\)
9. \(-\left(\frac{10}{3}\right)+\left(\frac{-8}{-3}\right)\\= \frac{-10}{3}+\frac{8}{3}\\=\frac{-10+8}{3}\\=\frac{-2}{3}\)
10. \(+\left(\frac{5}{-6}\right)-\left(\frac{-7}{-2}\right)\\= \frac{-5}{6}-\frac{7}{2}\\=\frac{-5-7}{6}\\=\frac{-12}{6}\\=\frac{-2}{1}\)
11. \(+\left(\frac{-3}{2}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-3}{2}+\frac{12}{11}\\=\frac{-33}{22}+\frac{24}{22}\\=\frac{-33+24}{22}\\=\frac{-9}{22}\)
12. \(+\left(\frac{7}{2}\right)-\left(\frac{-9}{-4}\right)\\= \frac{7}{2}-\frac{9}{4}\\=\frac{14}{4}-\frac{9}{4}\\=\frac{14-9}{4}\\=\frac{5}{4}\)