Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

1. \(+\left(\frac{3}{11}\right)+\left(\frac{-5}{6}\right)\)
2. \(-\left(\frac{-12}{-5}\right)-\left(\frac{-4}{11}\right)\)
3. \(+\left(\frac{7}{6}\right)-\left(\frac{-14}{9}\right)\)
4. \(+\left(\frac{-6}{-5}\right)-\left(\frac{-12}{11}\right)\)
5. \(+\left(\frac{13}{-2}\right)-\left(\frac{-15}{4}\right)\)
6. \(+\left(\frac{-5}{-9}\right)-\left(\frac{6}{13}\right)\)
7. \(+\left(\frac{-9}{13}\right)+\left(\frac{-11}{2}\right)\)
8. \(-\left(\frac{-15}{-13}\right)-\left(\frac{-4}{-5}\right)\)
9. \(-\left(\frac{13}{12}\right)-\left(\frac{12}{-13}\right)\)
10. \(-\left(\frac{14}{5}\right)-\left(\frac{5}{-6}\right)\)
11. \(+\left(\frac{-11}{13}\right)+\left(\frac{11}{-2}\right)\)
12. \(+\left(\frac{9}{-13}\right)+\left(\frac{5}{-7}\right)\)

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{11}\right)+\left(\frac{-5}{6}\right)\\= \frac{3}{11}-\frac{5}{6}\\=\frac{18}{66}-\frac{55}{66}\\=\frac{18-55}{66}\\=\frac{-37}{66}\)
2. \(-\left(\frac{-12}{-5}\right)-\left(\frac{-4}{11}\right)\\= \frac{-12}{5}+\frac{4}{11}\\=\frac{-132}{55}+\frac{20}{55}\\=\frac{-132+20}{55}\\=\frac{-112}{55}\)
3. \(+\left(\frac{7}{6}\right)-\left(\frac{-14}{9}\right)\\= \frac{7}{6}+\frac{14}{9}\\=\frac{21}{18}+\frac{28}{18}\\=\frac{21+28}{18}\\=\frac{49}{18}\)
4. \(+\left(\frac{-6}{-5}\right)-\left(\frac{-12}{11}\right)\\= \frac{6}{5}+\frac{12}{11}\\=\frac{66}{55}+\frac{60}{55}\\=\frac{66+60}{55}\\=\frac{126}{55}\)
5. \(+\left(\frac{13}{-2}\right)-\left(\frac{-15}{4}\right)\\= \frac{-13}{2}+\frac{15}{4}\\=\frac{-26}{4}+\frac{15}{4}\\=\frac{-26+15}{4}\\=\frac{-11}{4}\)
6. \(+\left(\frac{-5}{-9}\right)-\left(\frac{6}{13}\right)\\= \frac{5}{9}-\frac{6}{13}\\=\frac{65}{117}-\frac{54}{117}\\=\frac{65-54}{117}\\=\frac{11}{117}\)
7. \(+\left(\frac{-9}{13}\right)+\left(\frac{-11}{2}\right)\\= \frac{-9}{13}-\frac{11}{2}\\=\frac{-18}{26}-\frac{143}{26}\\=\frac{-18-143}{26}\\=\frac{-161}{26}\)
8. \(-\left(\frac{-15}{-13}\right)-\left(\frac{-4}{-5}\right)\\= \frac{-15}{13}-\frac{4}{5}\\=\frac{-75}{65}-\frac{52}{65}\\=\frac{-75-52}{65}\\=\frac{-127}{65}\)
9. \(-\left(\frac{13}{12}\right)-\left(\frac{12}{-13}\right)\\= \frac{-13}{12}+\frac{12}{13}\\=\frac{-169}{156}+\frac{144}{156}\\=\frac{-169+144}{156}\\=\frac{-25}{156}\)
10. \(-\left(\frac{14}{5}\right)-\left(\frac{5}{-6}\right)\\= \frac{-14}{5}+\frac{5}{6}\\=\frac{-84}{30}+\frac{25}{30}\\=\frac{-84+25}{30}\\=\frac{-59}{30}\)
11. \(+\left(\frac{-11}{13}\right)+\left(\frac{11}{-2}\right)\\= \frac{-11}{13}-\frac{11}{2}\\=\frac{-22}{26}-\frac{143}{26}\\=\frac{-22-143}{26}\\=\frac{-165}{26}\)
12. \(+\left(\frac{9}{-13}\right)+\left(\frac{5}{-7}\right)\\= \frac{-9}{13}-\frac{5}{7}\\=\frac{-63}{91}-\frac{65}{91}\\=\frac{-63-65}{91}\\=\frac{-128}{91}\)