Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{11}{-13}\right)-\left(\frac{2}{-5}\right)\\= \frac{-11}{13}+\frac{2}{5}\\=\frac{-55}{65}+\frac{26}{65}\\=\frac{-55+26}{65}\\=\frac{-29}{65}\)
2. \(+\left(\frac{2}{13}\right)-\left(\frac{13}{6}\right)\\= \frac{2}{13}-\frac{13}{6}\\=\frac{12}{78}-\frac{169}{78}\\=\frac{12-169}{78}\\=\frac{-157}{78}\)
3. \(+\left(\frac{-14}{9}\right)-\left(\frac{-12}{-7}\right)\\= \frac{-14}{9}-\frac{12}{7}\\=\frac{-98}{63}-\frac{108}{63}\\=\frac{-98-108}{63}\\=\frac{-206}{63}\)
4. \(-\left(\frac{-7}{-2}\right)+\left(\frac{-13}{-4}\right)\\= \frac{-7}{2}+\frac{13}{4}\\=\frac{-14}{4}+\frac{13}{4}\\=\frac{-14+13}{4}\\=\frac{-1}{4}\)
5. \(-\left(\frac{3}{7}\right)+\left(\frac{-13}{7}\right)\\= \frac{-3}{7}-\frac{13}{7}\\=\frac{-3-13}{7}\\=\frac{-16}{7}\)
6. \(-\left(\frac{7}{2}\right)+\left(\frac{7}{-4}\right)\\= \frac{-7}{2}-\frac{7}{4}\\=\frac{-14}{4}-\frac{7}{4}\\=\frac{-14-7}{4}\\=\frac{-21}{4}\)
7. \(-\left(\frac{14}{11}\right)-\left(\frac{-3}{-8}\right)\\= \frac{-14}{11}-\frac{3}{8}\\=\frac{-112}{88}-\frac{33}{88}\\=\frac{-112-33}{88}\\=\frac{-145}{88}\)
8. \(+\left(\frac{2}{-3}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-2}{3}-\frac{10}{3}\\=\frac{-2-10}{3}\\=\frac{-12}{3}\\=\frac{-4}{1}\)
9. \(+\left(\frac{14}{9}\right)-\left(\frac{4}{-3}\right)\\= \frac{14}{9}+\frac{4}{3}\\=\frac{14+4}{9}\\=\frac{18}{9}\\=\frac{2}{1}\)
10. \(-\left(\frac{7}{6}\right)+\left(\frac{-6}{-11}\right)\\= \frac{-7}{6}+\frac{6}{11}\\=\frac{-77}{66}+\frac{36}{66}\\=\frac{-77+36}{66}\\=\frac{-41}{66}\)
11. \(-\left(\frac{2}{-3}\right)+\left(\frac{-5}{-14}\right)\\= \frac{2}{3}+\frac{5}{14}\\=\frac{28}{42}+\frac{15}{42}\\=\frac{28+15}{42}\\=\frac{43}{42}\)
12. \(+\left(\frac{5}{-2}\right)+\left(\frac{12}{11}\right)\\= \frac{-5}{2}+\frac{12}{11}\\=\frac{-55}{22}+\frac{24}{22}\\=\frac{-55+24}{22}\\=\frac{-31}{22}\)