Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(+\left(\frac{-3}{14}\right)-\left(\frac{9}{-5}\right)\\= \frac{-3}{14}+\frac{9}{5}\\=\frac{-15}{70}+\frac{126}{70}\\=\frac{-15+126}{70}\\=\frac{111}{70}\)
2. \(+\left(\frac{3}{14}\right)+\left(\frac{7}{3}\right)\\= \frac{3}{14}+\frac{7}{3}\\=\frac{9}{42}+\frac{98}{42}\\=\frac{9+98}{42}\\=\frac{107}{42}\)
3. \(+\left(\frac{12}{11}\right)+\left(\frac{-13}{-3}\right)\\= \frac{12}{11}+\frac{13}{3}\\=\frac{36}{33}+\frac{143}{33}\\=\frac{36+143}{33}\\=\frac{179}{33}\)
4. \(+\left(\frac{3}{-10}\right)+\left(\frac{-4}{-5}\right)\\= \frac{-3}{10}+\frac{4}{5}\\=\frac{-3+4}{10}\\=\frac{1}{10}\)
5. \(-\left(\frac{10}{-9}\right)-\left(\frac{-8}{-3}\right)\\= \frac{10}{9}-\frac{8}{3}\\=\frac{10-8}{9}\\=\frac{2}{9}\)
6. \(-\left(\frac{-7}{3}\right)-\left(\frac{6}{7}\right)\\= \frac{7}{3}-\frac{6}{7}\\=\frac{49}{21}-\frac{18}{21}\\=\frac{49-18}{21}\\=\frac{31}{21}\)
7. \(+\left(\frac{-2}{-5}\right)+\left(\frac{10}{11}\right)\\= \frac{2}{5}+\frac{10}{11}\\=\frac{22}{55}+\frac{50}{55}\\=\frac{22+50}{55}\\=\frac{72}{55}\)
8. \(+\left(\frac{10}{9}\right)+\left(\frac{-4}{5}\right)\\= \frac{10}{9}-\frac{4}{5}\\=\frac{50}{45}-\frac{36}{45}\\=\frac{50-36}{45}\\=\frac{14}{45}\)
9. \(+\left(\frac{12}{-7}\right)-\left(\frac{-10}{7}\right)\\= \frac{-12}{7}+\frac{10}{7}\\=\frac{-12+10}{7}\\=\frac{-2}{7}\)
10. \(-\left(\frac{8}{-9}\right)+\left(\frac{9}{8}\right)\\= \frac{8}{9}+\frac{9}{8}\\=\frac{64}{72}+\frac{81}{72}\\=\frac{64+81}{72}\\=\frac{145}{72}\)
11. \(+\left(\frac{-11}{6}\right)+\left(\frac{10}{9}\right)\\= \frac{-11}{6}+\frac{10}{9}\\=\frac{-33}{18}+\frac{20}{18}\\=\frac{-33+20}{18}\\=\frac{-13}{18}\)
12. \(+\left(\frac{14}{9}\right)+\left(\frac{7}{-10}\right)\\= \frac{14}{9}-\frac{7}{10}\\=\frac{140}{90}-\frac{63}{90}\\=\frac{140-63}{90}\\=\frac{77}{90}\)