Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{11}{3}\right)+\left(\frac{-6}{-5}\right)\\= \frac{-11}{3}+\frac{6}{5}\\=\frac{-55}{15}+\frac{18}{15}\\=\frac{-55+18}{15}\\=\frac{-37}{15}\)
2. \(-\left(\frac{6}{-5}\right)+\left(\frac{-11}{-10}\right)\\= \frac{6}{5}+\frac{11}{10}\\=\frac{12}{10}+\frac{11}{10}\\=\frac{12+11}{10}\\=\frac{23}{10}\)
3. \(+\left(\frac{-9}{-11}\right)-\left(\frac{-7}{2}\right)\\= \frac{9}{11}+\frac{7}{2}\\=\frac{18}{22}+\frac{77}{22}\\=\frac{18+77}{22}\\=\frac{95}{22}\)
4. \(-\left(\frac{5}{-3}\right)-\left(\frac{-10}{9}\right)\\= \frac{5}{3}+\frac{10}{9}\\=\frac{15}{9}+\frac{10}{9}\\=\frac{15+10}{9}\\=\frac{25}{9}\)
5. \(-\left(\frac{-5}{3}\right)+\left(\frac{-2}{11}\right)\\= \frac{5}{3}-\frac{2}{11}\\=\frac{55}{33}-\frac{6}{33}\\=\frac{55-6}{33}\\=\frac{49}{33}\)
6. \(+\left(\frac{-6}{-13}\right)-\left(\frac{-10}{13}\right)\\= \frac{6}{13}+\frac{10}{13}\\=\frac{6+10}{13}\\=\frac{16}{13}\)
7. \(-\left(\frac{5}{-9}\right)+\left(\frac{-15}{8}\right)\\= \frac{5}{9}-\frac{15}{8}\\=\frac{40}{72}-\frac{135}{72}\\=\frac{40-135}{72}\\=\frac{-95}{72}\)
8. \(-\left(\frac{5}{-6}\right)+\left(\frac{9}{2}\right)\\= \frac{5}{6}+\frac{9}{2}\\=\frac{5+9}{6}\\=\frac{14}{6}\\=\frac{7}{3}\)
9. \(+\left(\frac{4}{11}\right)+\left(\frac{2}{-13}\right)\\= \frac{4}{11}-\frac{2}{13}\\=\frac{52}{143}-\frac{22}{143}\\=\frac{52-22}{143}\\=\frac{30}{143}\)
10. \(-\left(\frac{12}{-5}\right)-\left(\frac{2}{3}\right)\\= \frac{12}{5}-\frac{2}{3}\\=\frac{36}{15}-\frac{10}{15}\\=\frac{36-10}{15}\\=\frac{26}{15}\)
11. \(+\left(\frac{-13}{-9}\right)+\left(\frac{7}{-6}\right)\\= \frac{13}{9}-\frac{7}{6}\\=\frac{26}{18}-\frac{21}{18}\\=\frac{26-21}{18}\\=\frac{5}{18}\)
12. \(-\left(\frac{-12}{5}\right)+\left(\frac{-5}{3}\right)\\= \frac{12}{5}-\frac{5}{3}\\=\frac{36}{15}-\frac{25}{15}\\=\frac{36-25}{15}\\=\frac{11}{15}\)