Breuken haakjesregel (reeks 1)

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Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{2}\right)+\left(\frac{-15}{7}\right)\\= \frac{7}{2}-\frac{15}{7}\\=\frac{49}{14}-\frac{30}{14}\\=\frac{49-30}{14}\\=\frac{19}{14}\)
2. \(-\left(\frac{-12}{5}\right)+\left(\frac{-6}{-11}\right)\\= \frac{12}{5}+\frac{6}{11}\\=\frac{132}{55}+\frac{30}{55}\\=\frac{132+30}{55}\\=\frac{162}{55}\)
3. \(+\left(\frac{-7}{-8}\right)-\left(\frac{12}{-7}\right)\\= \frac{7}{8}+\frac{12}{7}\\=\frac{49}{56}+\frac{96}{56}\\=\frac{49+96}{56}\\=\frac{145}{56}\)
4. \(-\left(\frac{-2}{-11}\right)+\left(\frac{6}{7}\right)\\= \frac{-2}{11}+\frac{6}{7}\\=\frac{-14}{77}+\frac{66}{77}\\=\frac{-14+66}{77}\\=\frac{52}{77}\)
5. \(+\left(\frac{-11}{3}\right)+\left(\frac{14}{9}\right)\\= \frac{-11}{3}+\frac{14}{9}\\=\frac{-33}{9}+\frac{14}{9}\\=\frac{-33+14}{9}\\=\frac{-19}{9}\)
6. \(-\left(\frac{-4}{9}\right)+\left(\frac{14}{-9}\right)\\= \frac{4}{9}-\frac{14}{9}\\=\frac{4-14}{9}\\=\frac{-10}{9}\)
7. \(-\left(\frac{5}{-9}\right)-\left(\frac{15}{-8}\right)\\= \frac{5}{9}+\frac{15}{8}\\=\frac{40}{72}+\frac{135}{72}\\=\frac{40+135}{72}\\=\frac{175}{72}\)
8. \(-\left(\frac{-14}{-3}\right)-\left(\frac{-5}{-2}\right)\\= \frac{-14}{3}-\frac{5}{2}\\=\frac{-28}{6}-\frac{15}{6}\\=\frac{-28-15}{6}\\=\frac{-43}{6}\)
9. \(-\left(\frac{-12}{-11}\right)+\left(\frac{-3}{-7}\right)\\= \frac{-12}{11}+\frac{3}{7}\\=\frac{-84}{77}+\frac{33}{77}\\=\frac{-84+33}{77}\\=\frac{-51}{77}\)
10. \(+\left(\frac{-15}{-11}\right)-\left(\frac{6}{5}\right)\\= \frac{15}{11}-\frac{6}{5}\\=\frac{75}{55}-\frac{66}{55}\\=\frac{75-66}{55}\\=\frac{9}{55}\)
11. \(-\left(\frac{-4}{9}\right)+\left(\frac{7}{6}\right)\\= \frac{4}{9}+\frac{7}{6}\\=\frac{8}{18}+\frac{21}{18}\\=\frac{8+21}{18}\\=\frac{29}{18}\)
12. \(-\left(\frac{-9}{-13}\right)+\left(\frac{13}{-7}\right)\\= \frac{-9}{13}-\frac{13}{7}\\=\frac{-63}{91}-\frac{169}{91}\\=\frac{-63-169}{91}\\=\frac{-232}{91}\)