Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-6}{-13}\right)+\left(\frac{-13}{7}\right)\\= \frac{-6}{13}-\frac{13}{7}\\=\frac{-42}{91}-\frac{169}{91}\\=\frac{-42-169}{91}\\=\frac{-211}{91}\)
2. \(-\left(\frac{-13}{14}\right)-\left(\frac{-13}{6}\right)\\= \frac{13}{14}+\frac{13}{6}\\=\frac{39}{42}+\frac{91}{42}\\=\frac{39+91}{42}\\=\frac{130}{42}\\=\frac{65}{21}\)
3. \(+\left(\frac{4}{5}\right)-\left(\frac{-2}{3}\right)\\= \frac{4}{5}+\frac{2}{3}\\=\frac{12}{15}+\frac{10}{15}\\=\frac{12+10}{15}\\=\frac{22}{15}\)
4. \(+\left(\frac{-6}{5}\right)+\left(\frac{-11}{-10}\right)\\= \frac{-6}{5}+\frac{11}{10}\\=\frac{-12}{10}+\frac{11}{10}\\=\frac{-12+11}{10}\\=\frac{-1}{10}\)
5. \(-\left(\frac{-13}{10}\right)+\left(\frac{-8}{-13}\right)\\= \frac{13}{10}+\frac{8}{13}\\=\frac{169}{130}+\frac{80}{130}\\=\frac{169+80}{130}\\=\frac{249}{130}\)
6. \(+\left(\frac{-12}{-11}\right)-\left(\frac{-13}{14}\right)\\= \frac{12}{11}+\frac{13}{14}\\=\frac{168}{154}+\frac{143}{154}\\=\frac{168+143}{154}\\=\frac{311}{154}\)
7. \(-\left(\frac{14}{3}\right)-\left(\frac{-11}{4}\right)\\= \frac{-14}{3}+\frac{11}{4}\\=\frac{-56}{12}+\frac{33}{12}\\=\frac{-56+33}{12}\\=\frac{-23}{12}\)
8. \(+\left(\frac{-5}{-11}\right)-\left(\frac{6}{7}\right)\\= \frac{5}{11}-\frac{6}{7}\\=\frac{35}{77}-\frac{66}{77}\\=\frac{35-66}{77}\\=\frac{-31}{77}\)
9. \(+\left(\frac{13}{-5}\right)+\left(\frac{-9}{8}\right)\\= \frac{-13}{5}-\frac{9}{8}\\=\frac{-104}{40}-\frac{45}{40}\\=\frac{-104-45}{40}\\=\frac{-149}{40}\)
10. \(+\left(\frac{8}{-3}\right)+\left(\frac{-7}{-9}\right)\\= \frac{-8}{3}+\frac{7}{9}\\=\frac{-24}{9}+\frac{7}{9}\\=\frac{-24+7}{9}\\=\frac{-17}{9}\)
11. \(-\left(\frac{3}{-5}\right)+\left(\frac{-13}{7}\right)\\= \frac{3}{5}-\frac{13}{7}\\=\frac{21}{35}-\frac{65}{35}\\=\frac{21-65}{35}\\=\frac{-44}{35}\)
12. \(+\left(\frac{3}{-8}\right)+\left(\frac{-4}{11}\right)\\= \frac{-3}{8}-\frac{4}{11}\\=\frac{-33}{88}-\frac{32}{88}\\=\frac{-33-32}{88}\\=\frac{-65}{88}\)