Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-13}{-2}\right)-\left(\frac{14}{-5}\right)\\= \frac{13}{2}+\frac{14}{5}\\=\frac{65}{10}+\frac{28}{10}\\=\frac{65+28}{10}\\=\frac{93}{10}\)
2. \(+\left(\frac{5}{-2}\right)-\left(\frac{-8}{-3}\right)\\= \frac{-5}{2}-\frac{8}{3}\\=\frac{-15}{6}-\frac{16}{6}\\=\frac{-15-16}{6}\\=\frac{-31}{6}\)
3. \(-\left(\frac{-10}{-7}\right)+\left(\frac{-12}{11}\right)\\= \frac{-10}{7}-\frac{12}{11}\\=\frac{-110}{77}-\frac{84}{77}\\=\frac{-110-84}{77}\\=\frac{-194}{77}\)
4. \(+\left(\frac{-7}{4}\right)-\left(\frac{6}{-11}\right)\\= \frac{-7}{4}+\frac{6}{11}\\=\frac{-77}{44}+\frac{24}{44}\\=\frac{-77+24}{44}\\=\frac{-53}{44}\)
5. \(-\left(\frac{9}{-4}\right)-\left(\frac{-13}{5}\right)\\= \frac{9}{4}+\frac{13}{5}\\=\frac{45}{20}+\frac{52}{20}\\=\frac{45+52}{20}\\=\frac{97}{20}\)
6. \(-\left(\frac{-14}{-3}\right)+\left(\frac{3}{-10}\right)\\= \frac{-14}{3}-\frac{3}{10}\\=\frac{-140}{30}-\frac{9}{30}\\=\frac{-140-9}{30}\\=\frac{-149}{30}\)
7. \(-\left(\frac{-10}{-13}\right)-\left(\frac{8}{-3}\right)\\= \frac{-10}{13}+\frac{8}{3}\\=\frac{-30}{39}+\frac{104}{39}\\=\frac{-30+104}{39}\\=\frac{74}{39}\)
8. \(-\left(\frac{7}{6}\right)-\left(\frac{-5}{-9}\right)\\= \frac{-7}{6}-\frac{5}{9}\\=\frac{-21}{18}-\frac{10}{18}\\=\frac{-21-10}{18}\\=\frac{-31}{18}\)
9. \(+\left(\frac{-12}{13}\right)-\left(\frac{7}{-2}\right)\\= \frac{-12}{13}+\frac{7}{2}\\=\frac{-24}{26}+\frac{91}{26}\\=\frac{-24+91}{26}\\=\frac{67}{26}\)
10. \(+\left(\frac{-11}{7}\right)+\left(\frac{9}{-14}\right)\\= \frac{-11}{7}-\frac{9}{14}\\=\frac{-22}{14}-\frac{9}{14}\\=\frac{-22-9}{14}\\=\frac{-31}{14}\)
11. \(+\left(\frac{7}{2}\right)-\left(\frac{9}{-8}\right)\\= \frac{7}{2}+\frac{9}{8}\\=\frac{28}{8}+\frac{9}{8}\\=\frac{28+9}{8}\\=\frac{37}{8}\)
12. \(+\left(\frac{-6}{-7}\right)-\left(\frac{12}{5}\right)\\= \frac{6}{7}-\frac{12}{5}\\=\frac{30}{35}-\frac{84}{35}\\=\frac{30-84}{35}\\=\frac{-54}{35}\)