Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{6}{5}\right)+\left(\frac{5}{14}\right)\\= \frac{6}{5}+\frac{5}{14}\\=\frac{84}{70}+\frac{25}{70}\\=\frac{84+25}{70}\\=\frac{109}{70}\)
2. \(+\left(\frac{-5}{-3}\right)-\left(\frac{-15}{13}\right)\\= \frac{5}{3}+\frac{15}{13}\\=\frac{65}{39}+\frac{45}{39}\\=\frac{65+45}{39}\\=\frac{110}{39}\)
3. \(+\left(\frac{10}{3}\right)+\left(\frac{-4}{-3}\right)\\= \frac{10}{3}+\frac{4}{3}\\=\frac{10+4}{3}\\=\frac{14}{3}\)
4. \(-\left(\frac{6}{11}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-6}{11}-\frac{12}{5}\\=\frac{-30}{55}-\frac{132}{55}\\=\frac{-30-132}{55}\\=\frac{-162}{55}\)
5. \(-\left(\frac{-11}{-3}\right)+\left(\frac{14}{-3}\right)\\= \frac{-11}{3}-\frac{14}{3}\\=\frac{-11-14}{3}\\=\frac{-25}{3}\)
6. \(-\left(\frac{14}{13}\right)+\left(\frac{-13}{2}\right)\\= \frac{-14}{13}-\frac{13}{2}\\=\frac{-28}{26}-\frac{169}{26}\\=\frac{-28-169}{26}\\=\frac{-197}{26}\)
7. \(+\left(\frac{15}{13}\right)-\left(\frac{5}{8}\right)\\= \frac{15}{13}-\frac{5}{8}\\=\frac{120}{104}-\frac{65}{104}\\=\frac{120-65}{104}\\=\frac{55}{104}\)
8. \(+\left(\frac{-12}{-7}\right)-\left(\frac{4}{-9}\right)\\= \frac{12}{7}+\frac{4}{9}\\=\frac{108}{63}+\frac{28}{63}\\=\frac{108+28}{63}\\=\frac{136}{63}\)
9. \(-\left(\frac{3}{4}\right)+\left(\frac{13}{2}\right)\\= \frac{-3}{4}+\frac{13}{2}\\=\frac{-3+13}{4}\\=\frac{10}{4}\\=\frac{5}{2}\)
10. \(-\left(\frac{6}{11}\right)+\left(\frac{5}{-6}\right)\\= \frac{-6}{11}-\frac{5}{6}\\=\frac{-36}{66}-\frac{55}{66}\\=\frac{-36-55}{66}\\=\frac{-91}{66}\)
11. \(-\left(\frac{12}{5}\right)+\left(\frac{11}{7}\right)\\= \frac{-12}{5}+\frac{11}{7}\\=\frac{-84}{35}+\frac{55}{35}\\=\frac{-84+55}{35}\\=\frac{-29}{35}\)
12. \(-\left(\frac{7}{12}\right)-\left(\frac{-3}{10}\right)\\= \frac{-7}{12}+\frac{3}{10}\\=\frac{-35}{60}+\frac{18}{60}\\=\frac{-35+18}{60}\\=\frac{-17}{60}\)