Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{10}{-11}\right)-\left(\frac{4}{7}\right)\\= \frac{10}{11}-\frac{4}{7}\\=\frac{70}{77}-\frac{44}{77}\\=\frac{70-44}{77}\\=\frac{26}{77}\)
2. \(-\left(\frac{2}{-5}\right)-\left(\frac{-13}{-10}\right)\\= \frac{2}{5}-\frac{13}{10}\\=\frac{4}{10}-\frac{13}{10}\\=\frac{4-13}{10}\\=\frac{-9}{10}\)
3. \(-\left(\frac{8}{-13}\right)+\left(\frac{5}{9}\right)\\= \frac{8}{13}+\frac{5}{9}\\=\frac{72}{117}+\frac{65}{117}\\=\frac{72+65}{117}\\=\frac{137}{117}\)
4. \(+\left(\frac{5}{9}\right)-\left(\frac{-10}{-7}\right)\\= \frac{5}{9}-\frac{10}{7}\\=\frac{35}{63}-\frac{90}{63}\\=\frac{35-90}{63}\\=\frac{-55}{63}\)
5. \(-\left(\frac{14}{3}\right)-\left(\frac{6}{-5}\right)\\= \frac{-14}{3}+\frac{6}{5}\\=\frac{-70}{15}+\frac{18}{15}\\=\frac{-70+18}{15}\\=\frac{-52}{15}\)
6. \(-\left(\frac{4}{3}\right)-\left(\frac{6}{-11}\right)\\= \frac{-4}{3}+\frac{6}{11}\\=\frac{-44}{33}+\frac{18}{33}\\=\frac{-44+18}{33}\\=\frac{-26}{33}\)
7. \(-\left(\frac{15}{-13}\right)+\left(\frac{-8}{5}\right)\\= \frac{15}{13}-\frac{8}{5}\\=\frac{75}{65}-\frac{104}{65}\\=\frac{75-104}{65}\\=\frac{-29}{65}\)
8. \(-\left(\frac{-14}{11}\right)-\left(\frac{-3}{11}\right)\\= \frac{14}{11}+\frac{3}{11}\\=\frac{14+3}{11}\\=\frac{17}{11}\)
9. \(-\left(\frac{-15}{7}\right)-\left(\frac{2}{3}\right)\\= \frac{15}{7}-\frac{2}{3}\\=\frac{45}{21}-\frac{14}{21}\\=\frac{45-14}{21}\\=\frac{31}{21}\)
10. \(-\left(\frac{2}{3}\right)-\left(\frac{4}{-9}\right)\\= \frac{-2}{3}+\frac{4}{9}\\=\frac{-6}{9}+\frac{4}{9}\\=\frac{-6+4}{9}\\=\frac{-2}{9}\)
11. \(-\left(\frac{-6}{13}\right)+\left(\frac{-12}{5}\right)\\= \frac{6}{13}-\frac{12}{5}\\=\frac{30}{65}-\frac{156}{65}\\=\frac{30-156}{65}\\=\frac{-126}{65}\)
12. \(-\left(\frac{-6}{5}\right)+\left(\frac{-14}{3}\right)\\= \frac{6}{5}-\frac{14}{3}\\=\frac{18}{15}-\frac{70}{15}\\=\frac{18-70}{15}\\=\frac{-52}{15}\)