Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{7}{3}\right)-\left(\frac{4}{13}\right)\\= \frac{7}{3}-\frac{4}{13}\\=\frac{91}{39}-\frac{12}{39}\\=\frac{91-12}{39}\\=\frac{79}{39}\)
2. \(+\left(\frac{-2}{7}\right)+\left(\frac{15}{7}\right)\\= \frac{-2}{7}+\frac{15}{7}\\=\frac{-2+15}{7}\\=\frac{13}{7}\)
3. \(+\left(\frac{-6}{11}\right)+\left(\frac{5}{-14}\right)\\= \frac{-6}{11}-\frac{5}{14}\\=\frac{-84}{154}-\frac{55}{154}\\=\frac{-84-55}{154}\\=\frac{-139}{154}\)
4. \(+\left(\frac{15}{-7}\right)-\left(\frac{15}{-7}\right)\\= \frac{-15}{7}+\frac{15}{7}\\=\frac{-15+15}{7}\\=\frac{0}{7}\\=\frac{0}{1}\)
5. \(+\left(\frac{15}{-8}\right)-\left(\frac{-12}{5}\right)\\= \frac{-15}{8}+\frac{12}{5}\\=\frac{-75}{40}+\frac{96}{40}\\=\frac{-75+96}{40}\\=\frac{21}{40}\)
6. \(-\left(\frac{-8}{11}\right)-\left(\frac{-8}{-9}\right)\\= \frac{8}{11}-\frac{8}{9}\\=\frac{72}{99}-\frac{88}{99}\\=\frac{72-88}{99}\\=\frac{-16}{99}\)
7. \(-\left(\frac{-10}{7}\right)+\left(\frac{4}{-13}\right)\\= \frac{10}{7}-\frac{4}{13}\\=\frac{130}{91}-\frac{28}{91}\\=\frac{130-28}{91}\\=\frac{102}{91}\)
8. \(+\left(\frac{-15}{-7}\right)-\left(\frac{2}{-5}\right)\\= \frac{15}{7}+\frac{2}{5}\\=\frac{75}{35}+\frac{14}{35}\\=\frac{75+14}{35}\\=\frac{89}{35}\)
9. \(-\left(\frac{12}{11}\right)+\left(\frac{-7}{5}\right)\\= \frac{-12}{11}-\frac{7}{5}\\=\frac{-60}{55}-\frac{77}{55}\\=\frac{-60-77}{55}\\=\frac{-137}{55}\)
10. \(+\left(\frac{11}{-2}\right)+\left(\frac{14}{9}\right)\\= \frac{-11}{2}+\frac{14}{9}\\=\frac{-99}{18}+\frac{28}{18}\\=\frac{-99+28}{18}\\=\frac{-71}{18}\)
11. \(+\left(\frac{-14}{11}\right)-\left(\frac{-10}{-3}\right)\\= \frac{-14}{11}-\frac{10}{3}\\=\frac{-42}{33}-\frac{110}{33}\\=\frac{-42-110}{33}\\=\frac{-152}{33}\)
12. \(-\left(\frac{-13}{3}\right)+\left(\frac{-9}{13}\right)\\= \frac{13}{3}-\frac{9}{13}\\=\frac{169}{39}-\frac{27}{39}\\=\frac{169-27}{39}\\=\frac{142}{39}\)