Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{12}{-11}\right)+\left(\frac{-10}{7}\right)\\= \frac{-12}{11}-\frac{10}{7}\\=\frac{-84}{77}-\frac{110}{77}\\=\frac{-84-110}{77}\\=\frac{-194}{77}\)
2. \(-\left(\frac{-7}{-11}\right)+\left(\frac{9}{4}\right)\\= \frac{-7}{11}+\frac{9}{4}\\=\frac{-28}{44}+\frac{99}{44}\\=\frac{-28+99}{44}\\=\frac{71}{44}\)
3. \(-\left(\frac{14}{-11}\right)+\left(\frac{11}{2}\right)\\= \frac{14}{11}+\frac{11}{2}\\=\frac{28}{22}+\frac{121}{22}\\=\frac{28+121}{22}\\=\frac{149}{22}\)
4. \(+\left(\frac{-6}{11}\right)-\left(\frac{5}{-6}\right)\\= \frac{-6}{11}+\frac{5}{6}\\=\frac{-36}{66}+\frac{55}{66}\\=\frac{-36+55}{66}\\=\frac{19}{66}\)
5. \(-\left(\frac{11}{2}\right)+\left(\frac{9}{13}\right)\\= \frac{-11}{2}+\frac{9}{13}\\=\frac{-143}{26}+\frac{18}{26}\\=\frac{-143+18}{26}\\=\frac{-125}{26}\)
6. \(+\left(\frac{-9}{-13}\right)-\left(\frac{-7}{-5}\right)\\= \frac{9}{13}-\frac{7}{5}\\=\frac{45}{65}-\frac{91}{65}\\=\frac{45-91}{65}\\=\frac{-46}{65}\)
7. \(-\left(\frac{-12}{7}\right)+\left(\frac{-13}{5}\right)\\= \frac{12}{7}-\frac{13}{5}\\=\frac{60}{35}-\frac{91}{35}\\=\frac{60-91}{35}\\=\frac{-31}{35}\)
8. \(+\left(\frac{14}{3}\right)+\left(\frac{3}{5}\right)\\= \frac{14}{3}+\frac{3}{5}\\=\frac{70}{15}+\frac{9}{15}\\=\frac{70+9}{15}\\=\frac{79}{15}\)
9. \(+\left(\frac{-15}{11}\right)+\left(\frac{12}{-11}\right)\\= \frac{-15}{11}-\frac{12}{11}\\=\frac{-15-12}{11}\\=\frac{-27}{11}\)
10. \(-\left(\frac{10}{11}\right)+\left(\frac{13}{-14}\right)\\= \frac{-10}{11}-\frac{13}{14}\\=\frac{-140}{154}-\frac{143}{154}\\=\frac{-140-143}{154}\\=\frac{-283}{154}\)
11. \(+\left(\frac{-3}{2}\right)-\left(\frac{13}{-12}\right)\\= \frac{-3}{2}+\frac{13}{12}\\=\frac{-18}{12}+\frac{13}{12}\\=\frac{-18+13}{12}\\=\frac{-5}{12}\)
12. \(-\left(\frac{-12}{-5}\right)+\left(\frac{8}{-9}\right)\\= \frac{-12}{5}-\frac{8}{9}\\=\frac{-108}{45}-\frac{40}{45}\\=\frac{-108-40}{45}\\=\frac{-148}{45}\)