Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{7}{10}\right)-\left(\frac{-3}{-5}\right)\\= \frac{-7}{10}-\frac{3}{5}\\=\frac{-7-3}{10}\\=\frac{-10}{10}\\=\frac{-1}{1}\)
2. \(+\left(\frac{8}{-11}\right)-\left(\frac{4}{-11}\right)\\= \frac{-8}{11}+\frac{4}{11}\\=\frac{-8+4}{11}\\=\frac{-4}{11}\)
3. \(-\left(\frac{6}{13}\right)+\left(\frac{-7}{-4}\right)\\= \frac{-6}{13}+\frac{7}{4}\\=\frac{-24}{52}+\frac{91}{52}\\=\frac{-24+91}{52}\\=\frac{67}{52}\)
4. \(+\left(\frac{3}{-5}\right)-\left(\frac{10}{-9}\right)\\= \frac{-3}{5}+\frac{10}{9}\\=\frac{-27}{45}+\frac{50}{45}\\=\frac{-27+50}{45}\\=\frac{23}{45}\)
5. \(+\left(\frac{-12}{-5}\right)-\left(\frac{15}{7}\right)\\= \frac{12}{5}-\frac{15}{7}\\=\frac{84}{35}-\frac{75}{35}\\=\frac{84-75}{35}\\=\frac{9}{35}\)
6. \(+\left(\frac{-2}{7}\right)-\left(\frac{4}{-3}\right)\\= \frac{-2}{7}+\frac{4}{3}\\=\frac{-6}{21}+\frac{28}{21}\\=\frac{-6+28}{21}\\=\frac{22}{21}\)
7. \(+\left(\frac{12}{-11}\right)-\left(\frac{10}{7}\right)\\= \frac{-12}{11}-\frac{10}{7}\\=\frac{-84}{77}-\frac{110}{77}\\=\frac{-84-110}{77}\\=\frac{-194}{77}\)
8. \(+\left(\frac{-14}{-9}\right)-\left(\frac{5}{-9}\right)\\= \frac{14}{9}+\frac{5}{9}\\=\frac{14+5}{9}\\=\frac{19}{9}\)
9. \(+\left(\frac{-10}{-3}\right)+\left(\frac{4}{-9}\right)\\= \frac{10}{3}-\frac{4}{9}\\=\frac{30}{9}-\frac{4}{9}\\=\frac{30-4}{9}\\=\frac{26}{9}\)
10. \(-\left(\frac{-8}{-5}\right)+\left(\frac{-4}{9}\right)\\= \frac{-8}{5}-\frac{4}{9}\\=\frac{-72}{45}-\frac{20}{45}\\=\frac{-72-20}{45}\\=\frac{-92}{45}\)
11. \(+\left(\frac{12}{13}\right)-\left(\frac{6}{5}\right)\\= \frac{12}{13}-\frac{6}{5}\\=\frac{60}{65}-\frac{78}{65}\\=\frac{60-78}{65}\\=\frac{-18}{65}\)
12. \(-\left(\frac{-3}{-4}\right)-\left(\frac{13}{-14}\right)\\= \frac{-3}{4}+\frac{13}{14}\\=\frac{-21}{28}+\frac{26}{28}\\=\frac{-21+26}{28}\\=\frac{5}{28}\)