Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-3}{-2}\right)-\left(\frac{12}{-13}\right)\\= \frac{-3}{2}+\frac{12}{13}\\=\frac{-39}{26}+\frac{24}{26}\\=\frac{-39+24}{26}\\=\frac{-15}{26}\)
2. \(+\left(\frac{-6}{-5}\right)+\left(\frac{-9}{-4}\right)\\= \frac{6}{5}+\frac{9}{4}\\=\frac{24}{20}+\frac{45}{20}\\=\frac{24+45}{20}\\=\frac{69}{20}\)
3. \(+\left(\frac{-6}{11}\right)+\left(\frac{-7}{5}\right)\\= \frac{-6}{11}-\frac{7}{5}\\=\frac{-30}{55}-\frac{77}{55}\\=\frac{-30-77}{55}\\=\frac{-107}{55}\)
4. \(-\left(\frac{-6}{-5}\right)+\left(\frac{-3}{2}\right)\\= \frac{-6}{5}-\frac{3}{2}\\=\frac{-12}{10}-\frac{15}{10}\\=\frac{-12-15}{10}\\=\frac{-27}{10}\)
5. \(-\left(\frac{-11}{2}\right)+\left(\frac{9}{4}\right)\\= \frac{11}{2}+\frac{9}{4}\\=\frac{22}{4}+\frac{9}{4}\\=\frac{22+9}{4}\\=\frac{31}{4}\)
6. \(+\left(\frac{13}{-9}\right)-\left(\frac{10}{-9}\right)\\= \frac{-13}{9}+\frac{10}{9}\\=\frac{-13+10}{9}\\=\frac{-3}{9}\\=\frac{-1}{3}\)
7. \(-\left(\frac{3}{13}\right)+\left(\frac{-5}{-6}\right)\\= \frac{-3}{13}+\frac{5}{6}\\=\frac{-18}{78}+\frac{65}{78}\\=\frac{-18+65}{78}\\=\frac{47}{78}\)
8. \(+\left(\frac{4}{9}\right)+\left(\frac{15}{7}\right)\\= \frac{4}{9}+\frac{15}{7}\\=\frac{28}{63}+\frac{135}{63}\\=\frac{28+135}{63}\\=\frac{163}{63}\)
9. \(-\left(\frac{-6}{-5}\right)+\left(\frac{13}{-11}\right)\\= \frac{-6}{5}-\frac{13}{11}\\=\frac{-66}{55}-\frac{65}{55}\\=\frac{-66-65}{55}\\=\frac{-131}{55}\)
10. \(+\left(\frac{-8}{-11}\right)+\left(\frac{-13}{2}\right)\\= \frac{8}{11}-\frac{13}{2}\\=\frac{16}{22}-\frac{143}{22}\\=\frac{16-143}{22}\\=\frac{-127}{22}\)
11. \(+\left(\frac{-14}{-3}\right)+\left(\frac{-6}{-11}\right)\\= \frac{14}{3}+\frac{6}{11}\\=\frac{154}{33}+\frac{18}{33}\\=\frac{154+18}{33}\\=\frac{172}{33}\)
12. \(-\left(\frac{2}{-5}\right)+\left(\frac{8}{5}\right)\\= \frac{2}{5}+\frac{8}{5}\\=\frac{2+8}{5}\\=\frac{10}{5}\\=\frac{2}{1}\)