Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-14}\right)-\left(\frac{-13}{-12}\right)\\= \frac{3}{14}-\frac{13}{12}\\=\frac{18}{84}-\frac{91}{84}\\=\frac{18-91}{84}\\=\frac{-73}{84}\)
2. \(-\left(\frac{-14}{13}\right)-\left(\frac{-2}{3}\right)\\= \frac{14}{13}+\frac{2}{3}\\=\frac{42}{39}+\frac{26}{39}\\=\frac{42+26}{39}\\=\frac{68}{39}\)
3. \(+\left(\frac{-7}{2}\right)+\left(\frac{6}{7}\right)\\= \frac{-7}{2}+\frac{6}{7}\\=\frac{-49}{14}+\frac{12}{14}\\=\frac{-49+12}{14}\\=\frac{-37}{14}\)
4. \(-\left(\frac{-9}{13}\right)+\left(\frac{9}{2}\right)\\= \frac{9}{13}+\frac{9}{2}\\=\frac{18}{26}+\frac{117}{26}\\=\frac{18+117}{26}\\=\frac{135}{26}\)
5. \(-\left(\frac{-4}{-7}\right)-\left(\frac{10}{7}\right)\\= \frac{-4}{7}-\frac{10}{7}\\=\frac{-4-10}{7}\\=\frac{-14}{7}\\=\frac{-2}{1}\)
6. \(+\left(\frac{-15}{8}\right)-\left(\frac{-4}{-11}\right)\\= \frac{-15}{8}-\frac{4}{11}\\=\frac{-165}{88}-\frac{32}{88}\\=\frac{-165-32}{88}\\=\frac{-197}{88}\)
7. \(+\left(\frac{-12}{-11}\right)-\left(\frac{13}{2}\right)\\= \frac{12}{11}-\frac{13}{2}\\=\frac{24}{22}-\frac{143}{22}\\=\frac{24-143}{22}\\=\frac{-119}{22}\)
8. \(-\left(\frac{4}{5}\right)+\left(\frac{2}{3}\right)\\= \frac{-4}{5}+\frac{2}{3}\\=\frac{-12}{15}+\frac{10}{15}\\=\frac{-12+10}{15}\\=\frac{-2}{15}\)
9. \(+\left(\frac{11}{-10}\right)+\left(\frac{10}{-11}\right)\\= \frac{-11}{10}-\frac{10}{11}\\=\frac{-121}{110}-\frac{100}{110}\\=\frac{-121-100}{110}\\=\frac{-221}{110}\)
10. \(+\left(\frac{15}{-13}\right)-\left(\frac{12}{5}\right)\\= \frac{-15}{13}-\frac{12}{5}\\=\frac{-75}{65}-\frac{156}{65}\\=\frac{-75-156}{65}\\=\frac{-231}{65}\)
11. \(-\left(\frac{-14}{-9}\right)+\left(\frac{3}{13}\right)\\= \frac{-14}{9}+\frac{3}{13}\\=\frac{-182}{117}+\frac{27}{117}\\=\frac{-182+27}{117}\\=\frac{-155}{117}\)
12. \(+\left(\frac{-3}{10}\right)-\left(\frac{-6}{11}\right)\\= \frac{-3}{10}+\frac{6}{11}\\=\frac{-33}{110}+\frac{60}{110}\\=\frac{-33+60}{110}\\=\frac{27}{110}\)