Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-5}{-8}\right)+\left(\frac{2}{11}\right)\\= \frac{-5}{8}+\frac{2}{11}\\=\frac{-55}{88}+\frac{16}{88}\\=\frac{-55+16}{88}\\=\frac{-39}{88}\)
2. \(+\left(\frac{-11}{-2}\right)-\left(\frac{6}{11}\right)\\= \frac{11}{2}-\frac{6}{11}\\=\frac{121}{22}-\frac{12}{22}\\=\frac{121-12}{22}\\=\frac{109}{22}\)
3. \(+\left(\frac{2}{-13}\right)+\left(\frac{-14}{-5}\right)\\= \frac{-2}{13}+\frac{14}{5}\\=\frac{-10}{65}+\frac{182}{65}\\=\frac{-10+182}{65}\\=\frac{172}{65}\)
4. \(-\left(\frac{-12}{7}\right)+\left(\frac{-11}{-6}\right)\\= \frac{12}{7}+\frac{11}{6}\\=\frac{72}{42}+\frac{77}{42}\\=\frac{72+77}{42}\\=\frac{149}{42}\)
5. \(-\left(\frac{5}{-6}\right)-\left(\frac{13}{-5}\right)\\= \frac{5}{6}+\frac{13}{5}\\=\frac{25}{30}+\frac{78}{30}\\=\frac{25+78}{30}\\=\frac{103}{30}\)
6. \(+\left(\frac{-9}{2}\right)-\left(\frac{-8}{9}\right)\\= \frac{-9}{2}+\frac{8}{9}\\=\frac{-81}{18}+\frac{16}{18}\\=\frac{-81+16}{18}\\=\frac{-65}{18}\)
7. \(+\left(\frac{-14}{9}\right)-\left(\frac{-14}{9}\right)\\= \frac{-14}{9}+\frac{14}{9}\\=\frac{-14+14}{9}\\=\frac{0}{9}\\=\frac{0}{1}\)
8. \(+\left(\frac{5}{8}\right)+\left(\frac{-13}{2}\right)\\= \frac{5}{8}-\frac{13}{2}\\=\frac{5-13}{8}\\=\frac{-8}{8}\\=\frac{-1}{1}\)
9. \(+\left(\frac{-5}{9}\right)-\left(\frac{6}{7}\right)\\= \frac{-5}{9}-\frac{6}{7}\\=\frac{-35}{63}-\frac{54}{63}\\=\frac{-35-54}{63}\\=\frac{-89}{63}\)
10. \(-\left(\frac{8}{-9}\right)-\left(\frac{-10}{-7}\right)\\= \frac{8}{9}-\frac{10}{7}\\=\frac{56}{63}-\frac{90}{63}\\=\frac{56-90}{63}\\=\frac{-34}{63}\)
11. \(-\left(\frac{-12}{13}\right)+\left(\frac{-8}{-5}\right)\\= \frac{12}{13}+\frac{8}{5}\\=\frac{60}{65}+\frac{104}{65}\\=\frac{60+104}{65}\\=\frac{164}{65}\)
12. \(+\left(\frac{-5}{6}\right)+\left(\frac{-12}{-13}\right)\\= \frac{-5}{6}+\frac{12}{13}\\=\frac{-65}{78}+\frac{72}{78}\\=\frac{-65+72}{78}\\=\frac{7}{78}\)