Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-14}{9}\right)+\left(\frac{-13}{-6}\right)\\= \frac{-14}{9}+\frac{13}{6}\\=\frac{-28}{18}+\frac{39}{18}\\=\frac{-28+39}{18}\\=\frac{11}{18}\)
2. \(-\left(\frac{10}{7}\right)+\left(\frac{12}{7}\right)\\= \frac{-10}{7}+\frac{12}{7}\\=\frac{-10+12}{7}\\=\frac{2}{7}\)
3. \(-\left(\frac{-15}{-2}\right)-\left(\frac{3}{-10}\right)\\= \frac{-15}{2}+\frac{3}{10}\\=\frac{-75}{10}+\frac{3}{10}\\=\frac{-75+3}{10}\\=\frac{-72}{10}\\=\frac{-36}{5}\)
4. \(+\left(\frac{14}{-9}\right)-\left(\frac{-3}{10}\right)\\= \frac{-14}{9}+\frac{3}{10}\\=\frac{-140}{90}+\frac{27}{90}\\=\frac{-140+27}{90}\\=\frac{-113}{90}\)
5. \(-\left(\frac{-8}{9}\right)-\left(\frac{14}{-5}\right)\\= \frac{8}{9}+\frac{14}{5}\\=\frac{40}{45}+\frac{126}{45}\\=\frac{40+126}{45}\\=\frac{166}{45}\)
6. \(-\left(\frac{14}{-11}\right)+\left(\frac{-11}{-7}\right)\\= \frac{14}{11}+\frac{11}{7}\\=\frac{98}{77}+\frac{121}{77}\\=\frac{98+121}{77}\\=\frac{219}{77}\)
7. \(+\left(\frac{-5}{8}\right)+\left(\frac{12}{-11}\right)\\= \frac{-5}{8}-\frac{12}{11}\\=\frac{-55}{88}-\frac{96}{88}\\=\frac{-55-96}{88}\\=\frac{-151}{88}\)
8. \(-\left(\frac{-5}{-6}\right)+\left(\frac{14}{3}\right)\\= \frac{-5}{6}+\frac{14}{3}\\=\frac{-5+14}{6}\\=\frac{9}{6}\\=\frac{3}{2}\)
9. \(+\left(\frac{-15}{-4}\right)+\left(\frac{-3}{2}\right)\\= \frac{15}{4}-\frac{3}{2}\\=\frac{15-3}{4}\\=\frac{12}{4}\\=\frac{3}{1}\)
10. \(-\left(\frac{3}{13}\right)-\left(\frac{-11}{5}\right)\\= \frac{-3}{13}+\frac{11}{5}\\=\frac{-15}{65}+\frac{143}{65}\\=\frac{-15+143}{65}\\=\frac{128}{65}\)
11. \(-\left(\frac{9}{-13}\right)-\left(\frac{-14}{-9}\right)\\= \frac{9}{13}-\frac{14}{9}\\=\frac{81}{117}-\frac{182}{117}\\=\frac{81-182}{117}\\=\frac{-101}{117}\)
12. \(-\left(\frac{-9}{13}\right)+\left(\frac{-15}{-7}\right)\\= \frac{9}{13}+\frac{15}{7}\\=\frac{63}{91}+\frac{195}{91}\\=\frac{63+195}{91}\\=\frac{258}{91}\)