Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{15}{2}\right)+\left(\frac{-6}{-5}\right)\\= \frac{15}{2}+\frac{6}{5}\\=\frac{75}{10}+\frac{12}{10}\\=\frac{75+12}{10}\\=\frac{87}{10}\)
2. \(+\left(\frac{-2}{-11}\right)-\left(\frac{-2}{-11}\right)\\= \frac{2}{11}-\frac{2}{11}\\=\frac{2-2}{11}\\=\frac{0}{11}\\=\frac{0}{1}\)
3. \(+\left(\frac{15}{-11}\right)+\left(\frac{10}{7}\right)\\= \frac{-15}{11}+\frac{10}{7}\\=\frac{-105}{77}+\frac{110}{77}\\=\frac{-105+110}{77}\\=\frac{5}{77}\)
4. \(-\left(\frac{-9}{-2}\right)-\left(\frac{11}{-9}\right)\\= \frac{-9}{2}+\frac{11}{9}\\=\frac{-81}{18}+\frac{22}{18}\\=\frac{-81+22}{18}\\=\frac{-59}{18}\)
5. \(-\left(\frac{2}{9}\right)-\left(\frac{9}{13}\right)\\= \frac{-2}{9}-\frac{9}{13}\\=\frac{-26}{117}-\frac{81}{117}\\=\frac{-26-81}{117}\\=\frac{-107}{117}\)
6. \(+\left(\frac{-10}{-11}\right)-\left(\frac{-11}{14}\right)\\= \frac{10}{11}+\frac{11}{14}\\=\frac{140}{154}+\frac{121}{154}\\=\frac{140+121}{154}\\=\frac{261}{154}\)
7. \(+\left(\frac{-3}{-4}\right)-\left(\frac{-8}{5}\right)\\= \frac{3}{4}+\frac{8}{5}\\=\frac{15}{20}+\frac{32}{20}\\=\frac{15+32}{20}\\=\frac{47}{20}\)
8. \(-\left(\frac{5}{-7}\right)+\left(\frac{-9}{5}\right)\\= \frac{5}{7}-\frac{9}{5}\\=\frac{25}{35}-\frac{63}{35}\\=\frac{25-63}{35}\\=\frac{-38}{35}\)
9. \(-\left(\frac{10}{-9}\right)-\left(\frac{-15}{-4}\right)\\= \frac{10}{9}-\frac{15}{4}\\=\frac{40}{36}-\frac{135}{36}\\=\frac{40-135}{36}\\=\frac{-95}{36}\)
10. \(-\left(\frac{-11}{-2}\right)-\left(\frac{-5}{13}\right)\\= \frac{-11}{2}+\frac{5}{13}\\=\frac{-143}{26}+\frac{10}{26}\\=\frac{-143+10}{26}\\=\frac{-133}{26}\)
11. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-6}{5}\right)\\= \frac{12}{11}+\frac{6}{5}\\=\frac{60}{55}+\frac{66}{55}\\=\frac{60+66}{55}\\=\frac{126}{55}\)
12. \(-\left(\frac{-10}{-7}\right)+\left(\frac{3}{5}\right)\\= \frac{-10}{7}+\frac{3}{5}\\=\frac{-50}{35}+\frac{21}{35}\\=\frac{-50+21}{35}\\=\frac{-29}{35}\)