Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{-5}\right)+\left(\frac{-13}{-6}\right)\\= \frac{6}{5}+\frac{13}{6}\\=\frac{36}{30}+\frac{65}{30}\\=\frac{36+65}{30}\\=\frac{101}{30}\)
2. \(+\left(\frac{3}{-14}\right)-\left(\frac{-12}{-5}\right)\\= \frac{-3}{14}-\frac{12}{5}\\=\frac{-15}{70}-\frac{168}{70}\\=\frac{-15-168}{70}\\=\frac{-183}{70}\)
3. \(-\left(\frac{-11}{10}\right)+\left(\frac{-2}{-9}\right)\\= \frac{11}{10}+\frac{2}{9}\\=\frac{99}{90}+\frac{20}{90}\\=\frac{99+20}{90}\\=\frac{119}{90}\)
4. \(-\left(\frac{12}{5}\right)+\left(\frac{-5}{11}\right)\\= \frac{-12}{5}-\frac{5}{11}\\=\frac{-132}{55}-\frac{25}{55}\\=\frac{-132-25}{55}\\=\frac{-157}{55}\)
5. \(+\left(\frac{-12}{-11}\right)+\left(\frac{-8}{3}\right)\\= \frac{12}{11}-\frac{8}{3}\\=\frac{36}{33}-\frac{88}{33}\\=\frac{36-88}{33}\\=\frac{-52}{33}\)
6. \(+\left(\frac{2}{-11}\right)+\left(\frac{7}{-8}\right)\\= \frac{-2}{11}-\frac{7}{8}\\=\frac{-16}{88}-\frac{77}{88}\\=\frac{-16-77}{88}\\=\frac{-93}{88}\)
7. \(+\left(\frac{-8}{-3}\right)+\left(\frac{7}{5}\right)\\= \frac{8}{3}+\frac{7}{5}\\=\frac{40}{15}+\frac{21}{15}\\=\frac{40+21}{15}\\=\frac{61}{15}\)
8. \(+\left(\frac{-8}{11}\right)+\left(\frac{3}{10}\right)\\= \frac{-8}{11}+\frac{3}{10}\\=\frac{-80}{110}+\frac{33}{110}\\=\frac{-80+33}{110}\\=\frac{-47}{110}\)
9. \(-\left(\frac{-9}{-10}\right)-\left(\frac{8}{13}\right)\\= \frac{-9}{10}-\frac{8}{13}\\=\frac{-117}{130}-\frac{80}{130}\\=\frac{-117-80}{130}\\=\frac{-197}{130}\)
10. \(+\left(\frac{10}{7}\right)-\left(\frac{-4}{9}\right)\\= \frac{10}{7}+\frac{4}{9}\\=\frac{90}{63}+\frac{28}{63}\\=\frac{90+28}{63}\\=\frac{118}{63}\)
11. \(+\left(\frac{15}{-7}\right)-\left(\frac{10}{-13}\right)\\= \frac{-15}{7}+\frac{10}{13}\\=\frac{-195}{91}+\frac{70}{91}\\=\frac{-195+70}{91}\\=\frac{-125}{91}\)
12. \(-\left(\frac{-3}{-2}\right)-\left(\frac{7}{13}\right)\\= \frac{-3}{2}-\frac{7}{13}\\=\frac{-39}{26}-\frac{14}{26}\\=\frac{-39-14}{26}\\=\frac{-53}{26}\)