Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{-4}{3}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-4}{3}-\frac{4}{3}\\=\frac{-4-4}{3}\\=\frac{-8}{3}\)
2. \(-\left(\frac{-2}{-7}\right)-\left(\frac{-4}{11}\right)\\= \frac{-2}{7}+\frac{4}{11}\\=\frac{-22}{77}+\frac{28}{77}\\=\frac{-22+28}{77}\\=\frac{6}{77}\)
3. \(-\left(\frac{5}{-13}\right)-\left(\frac{8}{-13}\right)\\= \frac{5}{13}+\frac{8}{13}\\=\frac{5+8}{13}\\=\frac{13}{13}\\=\frac{1}{1}\)
4. \(+\left(\frac{9}{13}\right)-\left(\frac{-7}{-8}\right)\\= \frac{9}{13}-\frac{7}{8}\\=\frac{72}{104}-\frac{91}{104}\\=\frac{72-91}{104}\\=\frac{-19}{104}\)
5. \(+\left(\frac{-15}{-11}\right)+\left(\frac{-11}{12}\right)\\= \frac{15}{11}-\frac{11}{12}\\=\frac{180}{132}-\frac{121}{132}\\=\frac{180-121}{132}\\=\frac{59}{132}\)
6. \(-\left(\frac{7}{-2}\right)-\left(\frac{5}{6}\right)\\= \frac{7}{2}-\frac{5}{6}\\=\frac{21}{6}-\frac{5}{6}\\=\frac{21-5}{6}\\=\frac{16}{6}\\=\frac{8}{3}\)
7. \(+\left(\frac{12}{5}\right)+\left(\frac{12}{-13}\right)\\= \frac{12}{5}-\frac{12}{13}\\=\frac{156}{65}-\frac{60}{65}\\=\frac{156-60}{65}\\=\frac{96}{65}\)
8. \(+\left(\frac{-8}{-13}\right)-\left(\frac{-6}{7}\right)\\= \frac{8}{13}+\frac{6}{7}\\=\frac{56}{91}+\frac{78}{91}\\=\frac{56+78}{91}\\=\frac{134}{91}\)
9. \(-\left(\frac{-5}{6}\right)+\left(\frac{10}{3}\right)\\= \frac{5}{6}+\frac{10}{3}\\=\frac{5+10}{6}\\=\frac{15}{6}\\=\frac{5}{2}\)
10. \(+\left(\frac{3}{2}\right)-\left(\frac{-12}{5}\right)\\= \frac{3}{2}+\frac{12}{5}\\=\frac{15}{10}+\frac{24}{10}\\=\frac{15+24}{10}\\=\frac{39}{10}\)
11. \(+\left(\frac{14}{3}\right)+\left(\frac{8}{-7}\right)\\= \frac{14}{3}-\frac{8}{7}\\=\frac{98}{21}-\frac{24}{21}\\=\frac{98-24}{21}\\=\frac{74}{21}\)
12. \(+\left(\frac{11}{14}\right)+\left(\frac{-14}{-11}\right)\\= \frac{11}{14}+\frac{14}{11}\\=\frac{121}{154}+\frac{196}{154}\\=\frac{121+196}{154}\\=\frac{317}{154}\)