Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{2}{-9}\right)-\left(\frac{-3}{-7}\right)\\= \frac{2}{9}-\frac{3}{7}\\=\frac{14}{63}-\frac{27}{63}\\=\frac{14-27}{63}\\=\frac{-13}{63}\)
2. \(-\left(\frac{-8}{3}\right)+\left(\frac{2}{11}\right)\\= \frac{8}{3}+\frac{2}{11}\\=\frac{88}{33}+\frac{6}{33}\\=\frac{88+6}{33}\\=\frac{94}{33}\)
3. \(+\left(\frac{10}{-7}\right)-\left(\frac{-6}{-11}\right)\\= \frac{-10}{7}-\frac{6}{11}\\=\frac{-110}{77}-\frac{42}{77}\\=\frac{-110-42}{77}\\=\frac{-152}{77}\)
4. \(+\left(\frac{-8}{-5}\right)+\left(\frac{2}{3}\right)\\= \frac{8}{5}+\frac{2}{3}\\=\frac{24}{15}+\frac{10}{15}\\=\frac{24+10}{15}\\=\frac{34}{15}\)
5. \(+\left(\frac{7}{-8}\right)-\left(\frac{8}{-3}\right)\\= \frac{-7}{8}+\frac{8}{3}\\=\frac{-21}{24}+\frac{64}{24}\\=\frac{-21+64}{24}\\=\frac{43}{24}\)
6. \(-\left(\frac{2}{11}\right)-\left(\frac{-8}{13}\right)\\= \frac{-2}{11}+\frac{8}{13}\\=\frac{-26}{143}+\frac{88}{143}\\=\frac{-26+88}{143}\\=\frac{62}{143}\)
7. \(-\left(\frac{2}{-11}\right)-\left(\frac{-3}{-5}\right)\\= \frac{2}{11}-\frac{3}{5}\\=\frac{10}{55}-\frac{33}{55}\\=\frac{10-33}{55}\\=\frac{-23}{55}\)
8. \(+\left(\frac{-14}{13}\right)-\left(\frac{-11}{-12}\right)\\= \frac{-14}{13}-\frac{11}{12}\\=\frac{-168}{156}-\frac{143}{156}\\=\frac{-168-143}{156}\\=\frac{-311}{156}\)
9. \(+\left(\frac{-11}{-4}\right)-\left(\frac{-3}{14}\right)\\= \frac{11}{4}+\frac{3}{14}\\=\frac{77}{28}+\frac{6}{28}\\=\frac{77+6}{28}\\=\frac{83}{28}\)
10. \(-\left(\frac{10}{7}\right)-\left(\frac{-8}{3}\right)\\= \frac{-10}{7}+\frac{8}{3}\\=\frac{-30}{21}+\frac{56}{21}\\=\frac{-30+56}{21}\\=\frac{26}{21}\)
11. \(+\left(\frac{-13}{8}\right)+\left(\frac{-5}{8}\right)\\= \frac{-13}{8}-\frac{5}{8}\\=\frac{-13-5}{8}\\=\frac{-18}{8}\\=\frac{-9}{4}\)
12. \(-\left(\frac{-3}{10}\right)-\left(\frac{-12}{5}\right)\\= \frac{3}{10}+\frac{12}{5}\\=\frac{3+12}{10}\\=\frac{15}{10}\\=\frac{3}{2}\)