Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-11}{3}\right)-\left(\frac{11}{2}\right)\\= \frac{-11}{3}-\frac{11}{2}\\=\frac{-22}{6}-\frac{33}{6}\\=\frac{-22-33}{6}\\=\frac{-55}{6}\)
2. \(+\left(\frac{-8}{-3}\right)-\left(\frac{11}{-10}\right)\\= \frac{8}{3}+\frac{11}{10}\\=\frac{80}{30}+\frac{33}{30}\\=\frac{80+33}{30}\\=\frac{113}{30}\)
3. \(+\left(\frac{-3}{14}\right)+\left(\frac{-12}{-11}\right)\\= \frac{-3}{14}+\frac{12}{11}\\=\frac{-33}{154}+\frac{168}{154}\\=\frac{-33+168}{154}\\=\frac{135}{154}\)
4. \(+\left(\frac{9}{7}\right)-\left(\frac{11}{-2}\right)\\= \frac{9}{7}+\frac{11}{2}\\=\frac{18}{14}+\frac{77}{14}\\=\frac{18+77}{14}\\=\frac{95}{14}\)
5. \(+\left(\frac{-9}{-5}\right)-\left(\frac{-14}{3}\right)\\= \frac{9}{5}+\frac{14}{3}\\=\frac{27}{15}+\frac{70}{15}\\=\frac{27+70}{15}\\=\frac{97}{15}\)
6. \(-\left(\frac{14}{3}\right)-\left(\frac{14}{11}\right)\\= \frac{-14}{3}-\frac{14}{11}\\=\frac{-154}{33}-\frac{42}{33}\\=\frac{-154-42}{33}\\=\frac{-196}{33}\)
7. \(-\left(\frac{-6}{-5}\right)+\left(\frac{12}{13}\right)\\= \frac{-6}{5}+\frac{12}{13}\\=\frac{-78}{65}+\frac{60}{65}\\=\frac{-78+60}{65}\\=\frac{-18}{65}\)
8. \(+\left(\frac{2}{11}\right)+\left(\frac{5}{-2}\right)\\= \frac{2}{11}-\frac{5}{2}\\=\frac{4}{22}-\frac{55}{22}\\=\frac{4-55}{22}\\=\frac{-51}{22}\)
9. \(+\left(\frac{13}{-7}\right)-\left(\frac{13}{3}\right)\\= \frac{-13}{7}-\frac{13}{3}\\=\frac{-39}{21}-\frac{91}{21}\\=\frac{-39-91}{21}\\=\frac{-130}{21}\)
10. \(+\left(\frac{13}{9}\right)+\left(\frac{10}{-13}\right)\\= \frac{13}{9}-\frac{10}{13}\\=\frac{169}{117}-\frac{90}{117}\\=\frac{169-90}{117}\\=\frac{79}{117}\)
11. \(-\left(\frac{3}{4}\right)-\left(\frac{9}{-2}\right)\\= \frac{-3}{4}+\frac{9}{2}\\=\frac{-3+9}{4}\\=\frac{6}{4}\\=\frac{3}{2}\)
12. \(+\left(\frac{-9}{-4}\right)+\left(\frac{-5}{12}\right)\\= \frac{9}{4}-\frac{5}{12}\\=\frac{27}{12}-\frac{5}{12}\\=\frac{27-5}{12}\\=\frac{22}{12}\\=\frac{11}{6}\)