Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{3}{5}\right)+\left(\frac{4}{-3}\right)\\= \frac{3}{5}-\frac{4}{3}\\=\frac{9}{15}-\frac{20}{15}\\=\frac{9-20}{15}\\=\frac{-11}{15}\)
2. \(-\left(\frac{10}{13}\right)-\left(\frac{-13}{3}\right)\\= \frac{-10}{13}+\frac{13}{3}\\=\frac{-30}{39}+\frac{169}{39}\\=\frac{-30+169}{39}\\=\frac{139}{39}\)
3. \(-\left(\frac{15}{14}\right)+\left(\frac{-2}{-3}\right)\\= \frac{-15}{14}+\frac{2}{3}\\=\frac{-45}{42}+\frac{28}{42}\\=\frac{-45+28}{42}\\=\frac{-17}{42}\)
4. \(-\left(\frac{-15}{11}\right)+\left(\frac{2}{11}\right)\\= \frac{15}{11}+\frac{2}{11}\\=\frac{15+2}{11}\\=\frac{17}{11}\)
5. \(+\left(\frac{2}{-3}\right)-\left(\frac{7}{-10}\right)\\= \frac{-2}{3}+\frac{7}{10}\\=\frac{-20}{30}+\frac{21}{30}\\=\frac{-20+21}{30}\\=\frac{1}{30}\)
6. \(+\left(\frac{12}{-13}\right)+\left(\frac{-8}{5}\right)\\= \frac{-12}{13}-\frac{8}{5}\\=\frac{-60}{65}-\frac{104}{65}\\=\frac{-60-104}{65}\\=\frac{-164}{65}\)
7. \(-\left(\frac{-3}{-13}\right)+\left(\frac{11}{-5}\right)\\= \frac{-3}{13}-\frac{11}{5}\\=\frac{-15}{65}-\frac{143}{65}\\=\frac{-15-143}{65}\\=\frac{-158}{65}\)
8. \(-\left(\frac{8}{9}\right)-\left(\frac{-14}{3}\right)\\= \frac{-8}{9}+\frac{14}{3}\\=\frac{-8+14}{9}\\=\frac{6}{9}\\=\frac{2}{3}\)
9. \(-\left(\frac{5}{9}\right)+\left(\frac{7}{5}\right)\\= \frac{-5}{9}+\frac{7}{5}\\=\frac{-25}{45}+\frac{63}{45}\\=\frac{-25+63}{45}\\=\frac{38}{45}\)
10. \(-\left(\frac{11}{-5}\right)-\left(\frac{-2}{5}\right)\\= \frac{11}{5}+\frac{2}{5}\\=\frac{11+2}{5}\\=\frac{13}{5}\)
11. \(+\left(\frac{7}{2}\right)-\left(\frac{3}{-10}\right)\\= \frac{7}{2}+\frac{3}{10}\\=\frac{35}{10}+\frac{3}{10}\\=\frac{35+3}{10}\\=\frac{38}{10}\\=\frac{19}{5}\)
12. \(+\left(\frac{-8}{-9}\right)-\left(\frac{15}{7}\right)\\= \frac{8}{9}-\frac{15}{7}\\=\frac{56}{63}-\frac{135}{63}\\=\frac{56-135}{63}\\=\frac{-79}{63}\)