Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-13}{-6}\right)+\left(\frac{-14}{-13}\right)\\= \frac{-13}{6}+\frac{14}{13}\\=\frac{-169}{78}+\frac{84}{78}\\=\frac{-169+84}{78}\\=\frac{-85}{78}\)
2. \(+\left(\frac{13}{-14}\right)-\left(\frac{-8}{-11}\right)\\= \frac{-13}{14}-\frac{8}{11}\\=\frac{-143}{154}-\frac{112}{154}\\=\frac{-143-112}{154}\\=\frac{-255}{154}\)
3. \(-\left(\frac{13}{-5}\right)+\left(\frac{7}{-4}\right)\\= \frac{13}{5}-\frac{7}{4}\\=\frac{52}{20}-\frac{35}{20}\\=\frac{52-35}{20}\\=\frac{17}{20}\)
4. \(-\left(\frac{2}{-5}\right)-\left(\frac{-5}{-13}\right)\\= \frac{2}{5}-\frac{5}{13}\\=\frac{26}{65}-\frac{25}{65}\\=\frac{26-25}{65}\\=\frac{1}{65}\)
5. \(-\left(\frac{11}{-2}\right)-\left(\frac{5}{-7}\right)\\= \frac{11}{2}+\frac{5}{7}\\=\frac{77}{14}+\frac{10}{14}\\=\frac{77+10}{14}\\=\frac{87}{14}\)
6. \(+\left(\frac{-3}{7}\right)+\left(\frac{13}{-9}\right)\\= \frac{-3}{7}-\frac{13}{9}\\=\frac{-27}{63}-\frac{91}{63}\\=\frac{-27-91}{63}\\=\frac{-118}{63}\)
7. \(+\left(\frac{-14}{-11}\right)-\left(\frac{7}{12}\right)\\= \frac{14}{11}-\frac{7}{12}\\=\frac{168}{132}-\frac{77}{132}\\=\frac{168-77}{132}\\=\frac{91}{132}\)
8. \(+\left(\frac{-3}{-11}\right)-\left(\frac{-15}{14}\right)\\= \frac{3}{11}+\frac{15}{14}\\=\frac{42}{154}+\frac{165}{154}\\=\frac{42+165}{154}\\=\frac{207}{154}\)
9. \(-\left(\frac{8}{5}\right)-\left(\frac{-14}{-5}\right)\\= \frac{-8}{5}-\frac{14}{5}\\=\frac{-8-14}{5}\\=\frac{-22}{5}\)
10. \(-\left(\frac{-11}{2}\right)+\left(\frac{-7}{-2}\right)\\= \frac{11}{2}+\frac{7}{2}\\=\frac{11+7}{2}\\=\frac{18}{2}\\=\frac{9}{1}\)
11. \(-\left(\frac{-2}{13}\right)+\left(\frac{-5}{-2}\right)\\= \frac{2}{13}+\frac{5}{2}\\=\frac{4}{26}+\frac{65}{26}\\=\frac{4+65}{26}\\=\frac{69}{26}\)
12. \(+\left(\frac{-4}{-7}\right)-\left(\frac{7}{13}\right)\\= \frac{4}{7}-\frac{7}{13}\\=\frac{52}{91}-\frac{49}{91}\\=\frac{52-49}{91}\\=\frac{3}{91}\)