Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{9}\right)-\left(\frac{-12}{-11}\right)\\= \frac{-11}{9}-\frac{12}{11}\\=\frac{-121}{99}-\frac{108}{99}\\=\frac{-121-108}{99}\\=\frac{-229}{99}\)
2. \(+\left(\frac{-15}{-11}\right)+\left(\frac{7}{-6}\right)\\= \frac{15}{11}-\frac{7}{6}\\=\frac{90}{66}-\frac{77}{66}\\=\frac{90-77}{66}\\=\frac{13}{66}\)
3. \(+\left(\frac{-11}{13}\right)+\left(\frac{5}{-4}\right)\\= \frac{-11}{13}-\frac{5}{4}\\=\frac{-44}{52}-\frac{65}{52}\\=\frac{-44-65}{52}\\=\frac{-109}{52}\)
4. \(+\left(\frac{-10}{-11}\right)-\left(\frac{7}{2}\right)\\= \frac{10}{11}-\frac{7}{2}\\=\frac{20}{22}-\frac{77}{22}\\=\frac{20-77}{22}\\=\frac{-57}{22}\)
5. \(-\left(\frac{-13}{-5}\right)-\left(\frac{2}{-5}\right)\\= \frac{-13}{5}+\frac{2}{5}\\=\frac{-13+2}{5}\\=\frac{-11}{5}\)
6. \(-\left(\frac{-15}{7}\right)-\left(\frac{11}{12}\right)\\= \frac{15}{7}-\frac{11}{12}\\=\frac{180}{84}-\frac{77}{84}\\=\frac{180-77}{84}\\=\frac{103}{84}\)
7. \(-\left(\frac{-4}{9}\right)-\left(\frac{5}{7}\right)\\= \frac{4}{9}-\frac{5}{7}\\=\frac{28}{63}-\frac{45}{63}\\=\frac{28-45}{63}\\=\frac{-17}{63}\)
8. \(-\left(\frac{4}{13}\right)-\left(\frac{8}{-5}\right)\\= \frac{-4}{13}+\frac{8}{5}\\=\frac{-20}{65}+\frac{104}{65}\\=\frac{-20+104}{65}\\=\frac{84}{65}\)
9. \(-\left(\frac{-7}{-13}\right)-\left(\frac{-13}{-4}\right)\\= \frac{-7}{13}-\frac{13}{4}\\=\frac{-28}{52}-\frac{169}{52}\\=\frac{-28-169}{52}\\=\frac{-197}{52}\)
10. \(+\left(\frac{8}{9}\right)-\left(\frac{-15}{7}\right)\\= \frac{8}{9}+\frac{15}{7}\\=\frac{56}{63}+\frac{135}{63}\\=\frac{56+135}{63}\\=\frac{191}{63}\)
11. \(-\left(\frac{-11}{3}\right)+\left(\frac{-13}{-4}\right)\\= \frac{11}{3}+\frac{13}{4}\\=\frac{44}{12}+\frac{39}{12}\\=\frac{44+39}{12}\\=\frac{83}{12}\)
12. \(-\left(\frac{-11}{6}\right)+\left(\frac{13}{2}\right)\\= \frac{11}{6}+\frac{13}{2}\\=\frac{11+13}{6}\\=\frac{24}{6}\\=\frac{4}{1}\)