Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-10}{11}\right)-\left(\frac{-2}{7}\right)\\= \frac{10}{11}+\frac{2}{7}\\=\frac{70}{77}+\frac{22}{77}\\=\frac{70+22}{77}\\=\frac{92}{77}\)
2. \(+\left(\frac{9}{-4}\right)+\left(\frac{-3}{4}\right)\\= \frac{-9}{4}-\frac{3}{4}\\=\frac{-9-3}{4}\\=\frac{-12}{4}\\=\frac{-3}{1}\)
3. \(-\left(\frac{-13}{2}\right)+\left(\frac{14}{-13}\right)\\= \frac{13}{2}-\frac{14}{13}\\=\frac{169}{26}-\frac{28}{26}\\=\frac{169-28}{26}\\=\frac{141}{26}\)
4. \(-\left(\frac{-10}{-13}\right)+\left(\frac{13}{-14}\right)\\= \frac{-10}{13}-\frac{13}{14}\\=\frac{-140}{182}-\frac{169}{182}\\=\frac{-140-169}{182}\\=\frac{-309}{182}\)
5. \(+\left(\frac{2}{3}\right)+\left(\frac{7}{5}\right)\\= \frac{2}{3}+\frac{7}{5}\\=\frac{10}{15}+\frac{21}{15}\\=\frac{10+21}{15}\\=\frac{31}{15}\)
6. \(+\left(\frac{2}{5}\right)-\left(\frac{-3}{13}\right)\\= \frac{2}{5}+\frac{3}{13}\\=\frac{26}{65}+\frac{15}{65}\\=\frac{26+15}{65}\\=\frac{41}{65}\)
7. \(+\left(\frac{-12}{-7}\right)-\left(\frac{-9}{-2}\right)\\= \frac{12}{7}-\frac{9}{2}\\=\frac{24}{14}-\frac{63}{14}\\=\frac{24-63}{14}\\=\frac{-39}{14}\)
8. \(-\left(\frac{11}{-7}\right)+\left(\frac{-10}{3}\right)\\= \frac{11}{7}-\frac{10}{3}\\=\frac{33}{21}-\frac{70}{21}\\=\frac{33-70}{21}\\=\frac{-37}{21}\)
9. \(-\left(\frac{-14}{-9}\right)+\left(\frac{2}{9}\right)\\= \frac{-14}{9}+\frac{2}{9}\\=\frac{-14+2}{9}\\=\frac{-12}{9}\\=\frac{-4}{3}\)
10. \(-\left(\frac{5}{14}\right)+\left(\frac{-2}{-7}\right)\\= \frac{-5}{14}+\frac{2}{7}\\=\frac{-5+2}{14}\\=\frac{-3}{14}\)
11. \(+\left(\frac{8}{7}\right)-\left(\frac{-8}{-3}\right)\\= \frac{8}{7}-\frac{8}{3}\\=\frac{24}{21}-\frac{56}{21}\\=\frac{24-56}{21}\\=\frac{-32}{21}\)
12. \(+\left(\frac{-3}{-14}\right)-\left(\frac{-3}{8}\right)\\= \frac{3}{14}+\frac{3}{8}\\=\frac{12}{56}+\frac{21}{56}\\=\frac{12+21}{56}\\=\frac{33}{56}\)