Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{2}{3}\right)-\left(\frac{2}{5}\right)\\= \frac{-2}{3}-\frac{2}{5}\\=\frac{-10}{15}-\frac{6}{15}\\=\frac{-10-6}{15}\\=\frac{-16}{15}\)
2. \(-\left(\frac{-12}{5}\right)+\left(\frac{-3}{-2}\right)\\= \frac{12}{5}+\frac{3}{2}\\=\frac{24}{10}+\frac{15}{10}\\=\frac{24+15}{10}\\=\frac{39}{10}\)
3. \(-\left(\frac{6}{5}\right)+\left(\frac{-12}{7}\right)\\= \frac{-6}{5}-\frac{12}{7}\\=\frac{-42}{35}-\frac{60}{35}\\=\frac{-42-60}{35}\\=\frac{-102}{35}\)
4. \(+\left(\frac{9}{-13}\right)+\left(\frac{14}{-9}\right)\\= \frac{-9}{13}-\frac{14}{9}\\=\frac{-81}{117}-\frac{182}{117}\\=\frac{-81-182}{117}\\=\frac{-263}{117}\)
5. \(-\left(\frac{6}{-5}\right)-\left(\frac{-5}{-4}\right)\\= \frac{6}{5}-\frac{5}{4}\\=\frac{24}{20}-\frac{25}{20}\\=\frac{24-25}{20}\\=\frac{-1}{20}\)
6. \(-\left(\frac{-6}{5}\right)+\left(\frac{-7}{-2}\right)\\= \frac{6}{5}+\frac{7}{2}\\=\frac{12}{10}+\frac{35}{10}\\=\frac{12+35}{10}\\=\frac{47}{10}\)
7. \(+\left(\frac{-15}{2}\right)-\left(\frac{-5}{-11}\right)\\= \frac{-15}{2}-\frac{5}{11}\\=\frac{-165}{22}-\frac{10}{22}\\=\frac{-165-10}{22}\\=\frac{-175}{22}\)
8. \(+\left(\frac{-3}{-7}\right)-\left(\frac{14}{-13}\right)\\= \frac{3}{7}+\frac{14}{13}\\=\frac{39}{91}+\frac{98}{91}\\=\frac{39+98}{91}\\=\frac{137}{91}\)
9. \(-\left(\frac{-3}{-4}\right)-\left(\frac{4}{-13}\right)\\= \frac{-3}{4}+\frac{4}{13}\\=\frac{-39}{52}+\frac{16}{52}\\=\frac{-39+16}{52}\\=\frac{-23}{52}\)
10. \(-\left(\frac{15}{13}\right)+\left(\frac{12}{-13}\right)\\= \frac{-15}{13}-\frac{12}{13}\\=\frac{-15-12}{13}\\=\frac{-27}{13}\)
11. \(-\left(\frac{10}{9}\right)-\left(\frac{-5}{-6}\right)\\= \frac{-10}{9}-\frac{5}{6}\\=\frac{-20}{18}-\frac{15}{18}\\=\frac{-20-15}{18}\\=\frac{-35}{18}\)
12. \(-\left(\frac{-4}{11}\right)+\left(\frac{-13}{14}\right)\\= \frac{4}{11}-\frac{13}{14}\\=\frac{56}{154}-\frac{143}{154}\\=\frac{56-143}{154}\\=\frac{-87}{154}\)