Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(+\left(\frac{2}{7}\right)+\left(\frac{12}{-11}\right)\\= \frac{2}{7}-\frac{12}{11}\\=\frac{22}{77}-\frac{84}{77}\\=\frac{22-84}{77}\\=\frac{-62}{77}\)
2. \(-\left(\frac{11}{2}\right)-\left(\frac{7}{-10}\right)\\= \frac{-11}{2}+\frac{7}{10}\\=\frac{-55}{10}+\frac{7}{10}\\=\frac{-55+7}{10}\\=\frac{-48}{10}\\=\frac{-24}{5}\)
3. \(+\left(\frac{5}{-6}\right)-\left(\frac{10}{-7}\right)\\= \frac{-5}{6}+\frac{10}{7}\\=\frac{-35}{42}+\frac{60}{42}\\=\frac{-35+60}{42}\\=\frac{25}{42}\)
4. \(-\left(\frac{-7}{2}\right)-\left(\frac{15}{-8}\right)\\= \frac{7}{2}+\frac{15}{8}\\=\frac{28}{8}+\frac{15}{8}\\=\frac{28+15}{8}\\=\frac{43}{8}\)
5. \(+\left(\frac{-12}{-5}\right)+\left(\frac{-14}{11}\right)\\= \frac{12}{5}-\frac{14}{11}\\=\frac{132}{55}-\frac{70}{55}\\=\frac{132-70}{55}\\=\frac{62}{55}\)
6. \(-\left(\frac{8}{-3}\right)+\left(\frac{15}{-7}\right)\\= \frac{8}{3}-\frac{15}{7}\\=\frac{56}{21}-\frac{45}{21}\\=\frac{56-45}{21}\\=\frac{11}{21}\)
7. \(-\left(\frac{7}{-8}\right)-\left(\frac{15}{-2}\right)\\= \frac{7}{8}+\frac{15}{2}\\=\frac{7+15}{8}\\=\frac{22}{8}\\=\frac{11}{4}\)
8. \(+\left(\frac{8}{-3}\right)+\left(\frac{14}{5}\right)\\= \frac{-8}{3}+\frac{14}{5}\\=\frac{-40}{15}+\frac{42}{15}\\=\frac{-40+42}{15}\\=\frac{2}{15}\)
9. \(-\left(\frac{-9}{-2}\right)-\left(\frac{-14}{5}\right)\\= \frac{-9}{2}+\frac{14}{5}\\=\frac{-45}{10}+\frac{28}{10}\\=\frac{-45+28}{10}\\=\frac{-17}{10}\)
10. \(-\left(\frac{-3}{-13}\right)-\left(\frac{-15}{2}\right)\\= \frac{-3}{13}+\frac{15}{2}\\=\frac{-6}{26}+\frac{195}{26}\\=\frac{-6+195}{26}\\=\frac{189}{26}\)
11. \(-\left(\frac{-7}{6}\right)+\left(\frac{2}{3}\right)\\= \frac{7}{6}+\frac{2}{3}\\=\frac{7+2}{6}\\=\frac{9}{6}\\=\frac{3}{2}\)
12. \(+\left(\frac{-8}{-3}\right)-\left(\frac{2}{-5}\right)\\= \frac{8}{3}+\frac{2}{5}\\=\frac{40}{15}+\frac{6}{15}\\=\frac{40+6}{15}\\=\frac{46}{15}\)