Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{12}{11}\right)-\left(\frac{3}{-2}\right)\\= \frac{-12}{11}+\frac{3}{2}\\=\frac{-24}{22}+\frac{33}{22}\\=\frac{-24+33}{22}\\=\frac{9}{22}\)
2. \(+\left(\frac{-8}{5}\right)-\left(\frac{7}{10}\right)\\= \frac{-8}{5}-\frac{7}{10}\\=\frac{-16}{10}-\frac{7}{10}\\=\frac{-16-7}{10}\\=\frac{-23}{10}\)
3. \(+\left(\frac{-3}{-11}\right)-\left(\frac{9}{13}\right)\\= \frac{3}{11}-\frac{9}{13}\\=\frac{39}{143}-\frac{99}{143}\\=\frac{39-99}{143}\\=\frac{-60}{143}\)
4. \(-\left(\frac{2}{-3}\right)+\left(\frac{13}{12}\right)\\= \frac{2}{3}+\frac{13}{12}\\=\frac{8}{12}+\frac{13}{12}\\=\frac{8+13}{12}\\=\frac{21}{12}\\=\frac{7}{4}\)
5. \(+\left(\frac{-15}{11}\right)+\left(\frac{2}{3}\right)\\= \frac{-15}{11}+\frac{2}{3}\\=\frac{-45}{33}+\frac{22}{33}\\=\frac{-45+22}{33}\\=\frac{-23}{33}\)
6. \(-\left(\frac{-7}{8}\right)+\left(\frac{-4}{5}\right)\\= \frac{7}{8}-\frac{4}{5}\\=\frac{35}{40}-\frac{32}{40}\\=\frac{35-32}{40}\\=\frac{3}{40}\)
7. \(+\left(\frac{13}{5}\right)+\left(\frac{6}{11}\right)\\= \frac{13}{5}+\frac{6}{11}\\=\frac{143}{55}+\frac{30}{55}\\=\frac{143+30}{55}\\=\frac{173}{55}\)
8. \(-\left(\frac{-8}{-11}\right)-\left(\frac{5}{-14}\right)\\= \frac{-8}{11}+\frac{5}{14}\\=\frac{-112}{154}+\frac{55}{154}\\=\frac{-112+55}{154}\\=\frac{-57}{154}\)
9. \(+\left(\frac{10}{-3}\right)+\left(\frac{-4}{3}\right)\\= \frac{-10}{3}-\frac{4}{3}\\=\frac{-10-4}{3}\\=\frac{-14}{3}\)
10. \(-\left(\frac{-2}{11}\right)-\left(\frac{3}{-13}\right)\\= \frac{2}{11}+\frac{3}{13}\\=\frac{26}{143}+\frac{33}{143}\\=\frac{26+33}{143}\\=\frac{59}{143}\)
11. \(+\left(\frac{10}{3}\right)+\left(\frac{13}{7}\right)\\= \frac{10}{3}+\frac{13}{7}\\=\frac{70}{21}+\frac{39}{21}\\=\frac{70+39}{21}\\=\frac{109}{21}\)
12. \(+\left(\frac{-10}{-9}\right)+\left(\frac{-14}{-9}\right)\\= \frac{10}{9}+\frac{14}{9}\\=\frac{10+14}{9}\\=\frac{24}{9}\\=\frac{8}{3}\)