Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{6}{-5}\right)+\left(\frac{8}{9}\right)\\= \frac{6}{5}+\frac{8}{9}\\=\frac{54}{45}+\frac{40}{45}\\=\frac{54+40}{45}\\=\frac{94}{45}\)
2. \(+\left(\frac{-5}{-8}\right)+\left(\frac{-2}{5}\right)\\= \frac{5}{8}-\frac{2}{5}\\=\frac{25}{40}-\frac{16}{40}\\=\frac{25-16}{40}\\=\frac{9}{40}\)
3. \(-\left(\frac{3}{10}\right)+\left(\frac{9}{13}\right)\\= \frac{-3}{10}+\frac{9}{13}\\=\frac{-39}{130}+\frac{90}{130}\\=\frac{-39+90}{130}\\=\frac{51}{130}\)
4. \(-\left(\frac{-7}{-9}\right)+\left(\frac{11}{-12}\right)\\= \frac{-7}{9}-\frac{11}{12}\\=\frac{-28}{36}-\frac{33}{36}\\=\frac{-28-33}{36}\\=\frac{-61}{36}\)
5. \(+\left(\frac{5}{-14}\right)+\left(\frac{8}{-3}\right)\\= \frac{-5}{14}-\frac{8}{3}\\=\frac{-15}{42}-\frac{112}{42}\\=\frac{-15-112}{42}\\=\frac{-127}{42}\)
6. \(+\left(\frac{8}{-7}\right)-\left(\frac{-2}{-3}\right)\\= \frac{-8}{7}-\frac{2}{3}\\=\frac{-24}{21}-\frac{14}{21}\\=\frac{-24-14}{21}\\=\frac{-38}{21}\)
7. \(-\left(\frac{3}{-4}\right)+\left(\frac{-6}{5}\right)\\= \frac{3}{4}-\frac{6}{5}\\=\frac{15}{20}-\frac{24}{20}\\=\frac{15-24}{20}\\=\frac{-9}{20}\)
8. \(+\left(\frac{-15}{-7}\right)-\left(\frac{7}{-5}\right)\\= \frac{15}{7}+\frac{7}{5}\\=\frac{75}{35}+\frac{49}{35}\\=\frac{75+49}{35}\\=\frac{124}{35}\)
9. \(+\left(\frac{3}{-2}\right)-\left(\frac{11}{-2}\right)\\= \frac{-3}{2}+\frac{11}{2}\\=\frac{-3+11}{2}\\=\frac{8}{2}\\=\frac{4}{1}\)
10. \(-\left(\frac{9}{-13}\right)-\left(\frac{13}{2}\right)\\= \frac{9}{13}-\frac{13}{2}\\=\frac{18}{26}-\frac{169}{26}\\=\frac{18-169}{26}\\=\frac{-151}{26}\)
11. \(-\left(\frac{12}{-13}\right)+\left(\frac{8}{7}\right)\\= \frac{12}{13}+\frac{8}{7}\\=\frac{84}{91}+\frac{104}{91}\\=\frac{84+104}{91}\\=\frac{188}{91}\)
12. \(+\left(\frac{-11}{2}\right)-\left(\frac{-5}{7}\right)\\= \frac{-11}{2}+\frac{5}{7}\\=\frac{-77}{14}+\frac{10}{14}\\=\frac{-77+10}{14}\\=\frac{-67}{14}\)