Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-8}{11}\right)-\left(\frac{11}{-2}\right)\\= \frac{8}{11}+\frac{11}{2}\\=\frac{16}{22}+\frac{121}{22}\\=\frac{16+121}{22}\\=\frac{137}{22}\)
2. \(-\left(\frac{-4}{-3}\right)-\left(\frac{6}{11}\right)\\= \frac{-4}{3}-\frac{6}{11}\\=\frac{-44}{33}-\frac{18}{33}\\=\frac{-44-18}{33}\\=\frac{-62}{33}\)
3. \(-\left(\frac{-14}{3}\right)-\left(\frac{-6}{5}\right)\\= \frac{14}{3}+\frac{6}{5}\\=\frac{70}{15}+\frac{18}{15}\\=\frac{70+18}{15}\\=\frac{88}{15}\)
4. \(+\left(\frac{-4}{3}\right)+\left(\frac{-8}{5}\right)\\= \frac{-4}{3}-\frac{8}{5}\\=\frac{-20}{15}-\frac{24}{15}\\=\frac{-20-24}{15}\\=\frac{-44}{15}\)
5. \(+\left(\frac{11}{7}\right)+\left(\frac{-5}{-4}\right)\\= \frac{11}{7}+\frac{5}{4}\\=\frac{44}{28}+\frac{35}{28}\\=\frac{44+35}{28}\\=\frac{79}{28}\)
6. \(-\left(\frac{4}{-5}\right)-\left(\frac{2}{3}\right)\\= \frac{4}{5}-\frac{2}{3}\\=\frac{12}{15}-\frac{10}{15}\\=\frac{12-10}{15}\\=\frac{2}{15}\)
7. \(-\left(\frac{5}{-6}\right)-\left(\frac{5}{-6}\right)\\= \frac{5}{6}+\frac{5}{6}\\=\frac{5+5}{6}\\=\frac{10}{6}\\=\frac{5}{3}\)
8. \(-\left(\frac{5}{7}\right)+\left(\frac{14}{-13}\right)\\= \frac{-5}{7}-\frac{14}{13}\\=\frac{-65}{91}-\frac{98}{91}\\=\frac{-65-98}{91}\\=\frac{-163}{91}\)
9. \(-\left(\frac{8}{-11}\right)+\left(\frac{3}{11}\right)\\= \frac{8}{11}+\frac{3}{11}\\=\frac{8+3}{11}\\=\frac{11}{11}\\=\frac{1}{1}\)
10. \(+\left(\frac{-12}{-7}\right)+\left(\frac{5}{-11}\right)\\= \frac{12}{7}-\frac{5}{11}\\=\frac{132}{77}-\frac{35}{77}\\=\frac{132-35}{77}\\=\frac{97}{77}\)
11. \(+\left(\frac{9}{2}\right)-\left(\frac{6}{-13}\right)\\= \frac{9}{2}+\frac{6}{13}\\=\frac{117}{26}+\frac{12}{26}\\=\frac{117+12}{26}\\=\frac{129}{26}\)
12. \(-\left(\frac{11}{-7}\right)-\left(\frac{-5}{11}\right)\\= \frac{11}{7}+\frac{5}{11}\\=\frac{121}{77}+\frac{35}{77}\\=\frac{121+35}{77}\\=\frac{156}{77}\)