Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{14}{3}\right)-\left(\frac{-15}{-13}\right)\\= \frac{-14}{3}-\frac{15}{13}\\=\frac{-182}{39}-\frac{45}{39}\\=\frac{-182-45}{39}\\=\frac{-227}{39}\)
2. \(+\left(\frac{-10}{3}\right)+\left(\frac{-14}{-9}\right)\\= \frac{-10}{3}+\frac{14}{9}\\=\frac{-30}{9}+\frac{14}{9}\\=\frac{-30+14}{9}\\=\frac{-16}{9}\)
3. \(-\left(\frac{-12}{5}\right)-\left(\frac{6}{7}\right)\\= \frac{12}{5}-\frac{6}{7}\\=\frac{84}{35}-\frac{30}{35}\\=\frac{84-30}{35}\\=\frac{54}{35}\)
4. \(-\left(\frac{5}{-9}\right)+\left(\frac{10}{-13}\right)\\= \frac{5}{9}-\frac{10}{13}\\=\frac{65}{117}-\frac{90}{117}\\=\frac{65-90}{117}\\=\frac{-25}{117}\)
5. \(+\left(\frac{-8}{-7}\right)+\left(\frac{8}{-3}\right)\\= \frac{8}{7}-\frac{8}{3}\\=\frac{24}{21}-\frac{56}{21}\\=\frac{24-56}{21}\\=\frac{-32}{21}\)
6. \(-\left(\frac{-13}{-2}\right)+\left(\frac{6}{5}\right)\\= \frac{-13}{2}+\frac{6}{5}\\=\frac{-65}{10}+\frac{12}{10}\\=\frac{-65+12}{10}\\=\frac{-53}{10}\)
7. \(-\left(\frac{15}{13}\right)+\left(\frac{-3}{-13}\right)\\= \frac{-15}{13}+\frac{3}{13}\\=\frac{-15+3}{13}\\=\frac{-12}{13}\)
8. \(+\left(\frac{-8}{-3}\right)-\left(\frac{-14}{11}\right)\\= \frac{8}{3}+\frac{14}{11}\\=\frac{88}{33}+\frac{42}{33}\\=\frac{88+42}{33}\\=\frac{130}{33}\)
9. \(-\left(\frac{3}{-4}\right)-\left(\frac{-2}{13}\right)\\= \frac{3}{4}+\frac{2}{13}\\=\frac{39}{52}+\frac{8}{52}\\=\frac{39+8}{52}\\=\frac{47}{52}\)
10. \(+\left(\frac{-4}{-13}\right)+\left(\frac{-8}{-7}\right)\\= \frac{4}{13}+\frac{8}{7}\\=\frac{28}{91}+\frac{104}{91}\\=\frac{28+104}{91}\\=\frac{132}{91}\)
11. \(+\left(\frac{4}{-5}\right)+\left(\frac{-7}{-2}\right)\\= \frac{-4}{5}+\frac{7}{2}\\=\frac{-8}{10}+\frac{35}{10}\\=\frac{-8+35}{10}\\=\frac{27}{10}\)
12. \(-\left(\frac{9}{2}\right)+\left(\frac{15}{-2}\right)\\= \frac{-9}{2}-\frac{15}{2}\\=\frac{-9-15}{2}\\=\frac{-24}{2}\\=\frac{-12}{1}\)