Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{5}\right)+\left(\frac{-7}{2}\right)\\= \frac{-6}{5}-\frac{7}{2}\\=\frac{-12}{10}-\frac{35}{10}\\=\frac{-12-35}{10}\\=\frac{-47}{10}\)
2. \(+\left(\frac{-11}{8}\right)-\left(\frac{-8}{-3}\right)\\= \frac{-11}{8}-\frac{8}{3}\\=\frac{-33}{24}-\frac{64}{24}\\=\frac{-33-64}{24}\\=\frac{-97}{24}\)
3. \(+\left(\frac{3}{2}\right)+\left(\frac{13}{2}\right)\\= \frac{3}{2}+\frac{13}{2}\\=\frac{3+13}{2}\\=\frac{16}{2}\\=\frac{8}{1}\)
4. \(-\left(\frac{-8}{-7}\right)+\left(\frac{7}{8}\right)\\= \frac{-8}{7}+\frac{7}{8}\\=\frac{-64}{56}+\frac{49}{56}\\=\frac{-64+49}{56}\\=\frac{-15}{56}\)
5. \(-\left(\frac{8}{13}\right)+\left(\frac{-3}{2}\right)\\= \frac{-8}{13}-\frac{3}{2}\\=\frac{-16}{26}-\frac{39}{26}\\=\frac{-16-39}{26}\\=\frac{-55}{26}\)
6. \(+\left(\frac{15}{8}\right)+\left(\frac{5}{-7}\right)\\= \frac{15}{8}-\frac{5}{7}\\=\frac{105}{56}-\frac{40}{56}\\=\frac{105-40}{56}\\=\frac{65}{56}\)
7. \(-\left(\frac{-12}{-7}\right)+\left(\frac{14}{-13}\right)\\= \frac{-12}{7}-\frac{14}{13}\\=\frac{-156}{91}-\frac{98}{91}\\=\frac{-156-98}{91}\\=\frac{-254}{91}\)
8. \(-\left(\frac{-6}{7}\right)-\left(\frac{-10}{-3}\right)\\= \frac{6}{7}-\frac{10}{3}\\=\frac{18}{21}-\frac{70}{21}\\=\frac{18-70}{21}\\=\frac{-52}{21}\)
9. \(-\left(\frac{14}{13}\right)-\left(\frac{11}{-9}\right)\\= \frac{-14}{13}+\frac{11}{9}\\=\frac{-126}{117}+\frac{143}{117}\\=\frac{-126+143}{117}\\=\frac{17}{117}\)
10. \(-\left(\frac{-9}{-4}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-9}{4}+\frac{6}{5}\\=\frac{-45}{20}+\frac{24}{20}\\=\frac{-45+24}{20}\\=\frac{-21}{20}\)
11. \(+\left(\frac{-10}{11}\right)+\left(\frac{10}{7}\right)\\= \frac{-10}{11}+\frac{10}{7}\\=\frac{-70}{77}+\frac{110}{77}\\=\frac{-70+110}{77}\\=\frac{40}{77}\)
12. \(+\left(\frac{6}{-7}\right)+\left(\frac{-4}{9}\right)\\= \frac{-6}{7}-\frac{4}{9}\\=\frac{-54}{63}-\frac{28}{63}\\=\frac{-54-28}{63}\\=\frac{-82}{63}\)