Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{7}{8}\right)-\left(\frac{6}{-5}\right)\\= \frac{-7}{8}+\frac{6}{5}\\=\frac{-35}{40}+\frac{48}{40}\\=\frac{-35+48}{40}\\=\frac{13}{40}\)
2. \(+\left(\frac{5}{14}\right)+\left(\frac{-3}{-4}\right)\\= \frac{5}{14}+\frac{3}{4}\\=\frac{10}{28}+\frac{21}{28}\\=\frac{10+21}{28}\\=\frac{31}{28}\)
3. \(+\left(\frac{-13}{3}\right)+\left(\frac{12}{11}\right)\\= \frac{-13}{3}+\frac{12}{11}\\=\frac{-143}{33}+\frac{36}{33}\\=\frac{-143+36}{33}\\=\frac{-107}{33}\)
4. \(-\left(\frac{2}{-13}\right)-\left(\frac{-15}{14}\right)\\= \frac{2}{13}+\frac{15}{14}\\=\frac{28}{182}+\frac{195}{182}\\=\frac{28+195}{182}\\=\frac{223}{182}\)
5. \(+\left(\frac{5}{-11}\right)+\left(\frac{3}{11}\right)\\= \frac{-5}{11}+\frac{3}{11}\\=\frac{-5+3}{11}\\=\frac{-2}{11}\)
6. \(+\left(\frac{2}{-9}\right)+\left(\frac{-4}{-7}\right)\\= \frac{-2}{9}+\frac{4}{7}\\=\frac{-14}{63}+\frac{36}{63}\\=\frac{-14+36}{63}\\=\frac{22}{63}\)
7. \(+\left(\frac{-4}{-3}\right)-\left(\frac{3}{-14}\right)\\= \frac{4}{3}+\frac{3}{14}\\=\frac{56}{42}+\frac{9}{42}\\=\frac{56+9}{42}\\=\frac{65}{42}\)
8. \(-\left(\frac{11}{-3}\right)+\left(\frac{6}{5}\right)\\= \frac{11}{3}+\frac{6}{5}\\=\frac{55}{15}+\frac{18}{15}\\=\frac{55+18}{15}\\=\frac{73}{15}\)
9. \(+\left(\frac{-2}{-3}\right)-\left(\frac{14}{-13}\right)\\= \frac{2}{3}+\frac{14}{13}\\=\frac{26}{39}+\frac{42}{39}\\=\frac{26+42}{39}\\=\frac{68}{39}\)
10. \(+\left(\frac{-12}{11}\right)+\left(\frac{-5}{14}\right)\\= \frac{-12}{11}-\frac{5}{14}\\=\frac{-168}{154}-\frac{55}{154}\\=\frac{-168-55}{154}\\=\frac{-223}{154}\)
11. \(+\left(\frac{-9}{4}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-9}{4}-\frac{2}{3}\\=\frac{-27}{12}-\frac{8}{12}\\=\frac{-27-8}{12}\\=\frac{-35}{12}\)
12. \(-\left(\frac{-8}{3}\right)+\left(\frac{14}{9}\right)\\= \frac{8}{3}+\frac{14}{9}\\=\frac{24}{9}+\frac{14}{9}\\=\frac{24+14}{9}\\=\frac{38}{9}\)