Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-12}{-11}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-12}{11}-\frac{5}{6}\\=\frac{-72}{66}-\frac{55}{66}\\=\frac{-72-55}{66}\\=\frac{-127}{66}\)
2. \(-\left(\frac{7}{3}\right)+\left(\frac{-4}{9}\right)\\= \frac{-7}{3}-\frac{4}{9}\\=\frac{-21}{9}-\frac{4}{9}\\=\frac{-21-4}{9}\\=\frac{-25}{9}\)
3. \(+\left(\frac{-3}{-11}\right)+\left(\frac{-9}{-5}\right)\\= \frac{3}{11}+\frac{9}{5}\\=\frac{15}{55}+\frac{99}{55}\\=\frac{15+99}{55}\\=\frac{114}{55}\)
4. \(+\left(\frac{-9}{2}\right)-\left(\frac{-2}{11}\right)\\= \frac{-9}{2}+\frac{2}{11}\\=\frac{-99}{22}+\frac{4}{22}\\=\frac{-99+4}{22}\\=\frac{-95}{22}\)
5. \(+\left(\frac{14}{-13}\right)-\left(\frac{13}{-2}\right)\\= \frac{-14}{13}+\frac{13}{2}\\=\frac{-28}{26}+\frac{169}{26}\\=\frac{-28+169}{26}\\=\frac{141}{26}\)
6. \(+\left(\frac{-9}{10}\right)-\left(\frac{-7}{8}\right)\\= \frac{-9}{10}+\frac{7}{8}\\=\frac{-36}{40}+\frac{35}{40}\\=\frac{-36+35}{40}\\=\frac{-1}{40}\)
7. \(-\left(\frac{-2}{-5}\right)-\left(\frac{15}{2}\right)\\= \frac{-2}{5}-\frac{15}{2}\\=\frac{-4}{10}-\frac{75}{10}\\=\frac{-4-75}{10}\\=\frac{-79}{10}\)
8. \(-\left(\frac{-13}{-11}\right)+\left(\frac{15}{7}\right)\\= \frac{-13}{11}+\frac{15}{7}\\=\frac{-91}{77}+\frac{165}{77}\\=\frac{-91+165}{77}\\=\frac{74}{77}\)
9. \(+\left(\frac{3}{-4}\right)-\left(\frac{-13}{7}\right)\\= \frac{-3}{4}+\frac{13}{7}\\=\frac{-21}{28}+\frac{52}{28}\\=\frac{-21+52}{28}\\=\frac{31}{28}\)
10. \(-\left(\frac{13}{-14}\right)-\left(\frac{2}{9}\right)\\= \frac{13}{14}-\frac{2}{9}\\=\frac{117}{126}-\frac{28}{126}\\=\frac{117-28}{126}\\=\frac{89}{126}\)
11. \(-\left(\frac{-5}{3}\right)-\left(\frac{-3}{-2}\right)\\= \frac{5}{3}-\frac{3}{2}\\=\frac{10}{6}-\frac{9}{6}\\=\frac{10-9}{6}\\=\frac{1}{6}\)
12. \(-\left(\frac{15}{-8}\right)-\left(\frac{8}{-13}\right)\\= \frac{15}{8}+\frac{8}{13}\\=\frac{195}{104}+\frac{64}{104}\\=\frac{195+64}{104}\\=\frac{259}{104}\)