Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-10}\right)-\left(\frac{8}{-3}\right)\\= \frac{-7}{10}+\frac{8}{3}\\=\frac{-21}{30}+\frac{80}{30}\\=\frac{-21+80}{30}\\=\frac{59}{30}\)
2. \(-\left(\frac{-10}{11}\right)+\left(\frac{9}{-7}\right)\\= \frac{10}{11}-\frac{9}{7}\\=\frac{70}{77}-\frac{99}{77}\\=\frac{70-99}{77}\\=\frac{-29}{77}\)
3. \(-\left(\frac{-3}{14}\right)+\left(\frac{8}{-3}\right)\\= \frac{3}{14}-\frac{8}{3}\\=\frac{9}{42}-\frac{112}{42}\\=\frac{9-112}{42}\\=\frac{-103}{42}\)
4. \(-\left(\frac{-5}{14}\right)-\left(\frac{-3}{7}\right)\\= \frac{5}{14}+\frac{3}{7}\\=\frac{5+3}{14}\\=\frac{8}{14}\\=\frac{4}{7}\)
5. \(+\left(\frac{13}{-12}\right)+\left(\frac{11}{2}\right)\\= \frac{-13}{12}+\frac{11}{2}\\=\frac{-13+11}{12}\\=\frac{-2}{12}\\=\frac{-1}{6}\)
6. \(-\left(\frac{6}{-5}\right)-\left(\frac{-3}{13}\right)\\= \frac{6}{5}+\frac{3}{13}\\=\frac{78}{65}+\frac{15}{65}\\=\frac{78+15}{65}\\=\frac{93}{65}\)
7. \(-\left(\frac{12}{5}\right)+\left(\frac{9}{-10}\right)\\= \frac{-12}{5}-\frac{9}{10}\\=\frac{-24}{10}-\frac{9}{10}\\=\frac{-24-9}{10}\\=\frac{-33}{10}\)
8. \(-\left(\frac{12}{-13}\right)+\left(\frac{8}{7}\right)\\= \frac{12}{13}+\frac{8}{7}\\=\frac{84}{91}+\frac{104}{91}\\=\frac{84+104}{91}\\=\frac{188}{91}\)
9. \(+\left(\frac{8}{11}\right)-\left(\frac{-7}{11}\right)\\= \frac{8}{11}+\frac{7}{11}\\=\frac{8+7}{11}\\=\frac{15}{11}\)
10. \(+\left(\frac{6}{5}\right)+\left(\frac{-13}{8}\right)\\= \frac{6}{5}-\frac{13}{8}\\=\frac{48}{40}-\frac{65}{40}\\=\frac{48-65}{40}\\=\frac{-17}{40}\)
11. \(+\left(\frac{-2}{-5}\right)+\left(\frac{-5}{-2}\right)\\= \frac{2}{5}+\frac{5}{2}\\=\frac{4}{10}+\frac{25}{10}\\=\frac{4+25}{10}\\=\frac{29}{10}\)
12. \(+\left(\frac{7}{-12}\right)+\left(\frac{3}{-2}\right)\\= \frac{-7}{12}-\frac{3}{2}\\=\frac{-7-3}{12}\\=\frac{-10}{12}\\=\frac{-5}{6}\)