Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

---

Bereken

Verbetersleutel

1. \(-\left(\frac{9}{-7}\right)-\left(\frac{9}{7}\right)\\= \frac{9}{7}-\frac{9}{7}\\=\frac{9-9}{7}\\=\frac{0}{7}\\=\frac{0}{1}\)
2. \(+\left(\frac{6}{7}\right)+\left(\frac{-7}{2}\right)\\= \frac{6}{7}-\frac{7}{2}\\=\frac{12}{14}-\frac{49}{14}\\=\frac{12-49}{14}\\=\frac{-37}{14}\)
3. \(-\left(\frac{7}{10}\right)-\left(\frac{-5}{4}\right)\\= \frac{-7}{10}+\frac{5}{4}\\=\frac{-14}{20}+\frac{25}{20}\\=\frac{-14+25}{20}\\=\frac{11}{20}\)
4. \(+\left(\frac{6}{11}\right)-\left(\frac{15}{2}\right)\\= \frac{6}{11}-\frac{15}{2}\\=\frac{12}{22}-\frac{165}{22}\\=\frac{12-165}{22}\\=\frac{-153}{22}\)
5. \(+\left(\frac{-14}{-5}\right)+\left(\frac{7}{2}\right)\\= \frac{14}{5}+\frac{7}{2}\\=\frac{28}{10}+\frac{35}{10}\\=\frac{28+35}{10}\\=\frac{63}{10}\)
6. \(-\left(\frac{-8}{-5}\right)-\left(\frac{-7}{-5}\right)\\= \frac{-8}{5}-\frac{7}{5}\\=\frac{-8-7}{5}\\=\frac{-15}{5}\\=\frac{-3}{1}\)
7. \(+\left(\frac{13}{7}\right)-\left(\frac{-10}{3}\right)\\= \frac{13}{7}+\frac{10}{3}\\=\frac{39}{21}+\frac{70}{21}\\=\frac{39+70}{21}\\=\frac{109}{21}\)
8. \(-\left(\frac{-7}{-5}\right)-\left(\frac{12}{5}\right)\\= \frac{-7}{5}-\frac{12}{5}\\=\frac{-7-12}{5}\\=\frac{-19}{5}\)
9. \(-\left(\frac{15}{-2}\right)+\left(\frac{-2}{5}\right)\\= \frac{15}{2}-\frac{2}{5}\\=\frac{75}{10}-\frac{4}{10}\\=\frac{75-4}{10}\\=\frac{71}{10}\)
10. \(+\left(\frac{6}{11}\right)+\left(\frac{-5}{14}\right)\\= \frac{6}{11}-\frac{5}{14}\\=\frac{84}{154}-\frac{55}{154}\\=\frac{84-55}{154}\\=\frac{29}{154}\)
11. \(+\left(\frac{3}{4}\right)+\left(\frac{12}{7}\right)\\= \frac{3}{4}+\frac{12}{7}\\=\frac{21}{28}+\frac{48}{28}\\=\frac{21+48}{28}\\=\frac{69}{28}\)
12. \(-\left(\frac{-11}{13}\right)-\left(\frac{13}{14}\right)\\= \frac{11}{13}-\frac{13}{14}\\=\frac{154}{182}-\frac{169}{182}\\=\frac{154-169}{182}\\=\frac{-15}{182}\)