Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{3}{-5}\right)-\left(\frac{15}{8}\right)\\= \frac{3}{5}-\frac{15}{8}\\=\frac{24}{40}-\frac{75}{40}\\=\frac{24-75}{40}\\=\frac{-51}{40}\)
2. \(-\left(\frac{10}{-3}\right)-\left(\frac{7}{6}\right)\\= \frac{10}{3}-\frac{7}{6}\\=\frac{20}{6}-\frac{7}{6}\\=\frac{20-7}{6}\\=\frac{13}{6}\)
3. \(+\left(\frac{6}{-7}\right)-\left(\frac{-5}{13}\right)\\= \frac{-6}{7}+\frac{5}{13}\\=\frac{-78}{91}+\frac{35}{91}\\=\frac{-78+35}{91}\\=\frac{-43}{91}\)
4. \(+\left(\frac{11}{13}\right)-\left(\frac{-13}{-10}\right)\\= \frac{11}{13}-\frac{13}{10}\\=\frac{110}{130}-\frac{169}{130}\\=\frac{110-169}{130}\\=\frac{-59}{130}\)
5. \(-\left(\frac{-4}{-9}\right)+\left(\frac{-2}{3}\right)\\= \frac{-4}{9}-\frac{2}{3}\\=\frac{-4-2}{9}\\=\frac{-6}{9}\\=\frac{-2}{3}\)
6. \(+\left(\frac{14}{-3}\right)-\left(\frac{-5}{-12}\right)\\= \frac{-14}{3}-\frac{5}{12}\\=\frac{-56}{12}-\frac{5}{12}\\=\frac{-56-5}{12}\\=\frac{-61}{12}\)
7. \(-\left(\frac{11}{-13}\right)-\left(\frac{-7}{-6}\right)\\= \frac{11}{13}-\frac{7}{6}\\=\frac{66}{78}-\frac{91}{78}\\=\frac{66-91}{78}\\=\frac{-25}{78}\)
8. \(+\left(\frac{-6}{-5}\right)-\left(\frac{4}{9}\right)\\= \frac{6}{5}-\frac{4}{9}\\=\frac{54}{45}-\frac{20}{45}\\=\frac{54-20}{45}\\=\frac{34}{45}\)
9. \(-\left(\frac{-6}{5}\right)+\left(\frac{12}{7}\right)\\= \frac{6}{5}+\frac{12}{7}\\=\frac{42}{35}+\frac{60}{35}\\=\frac{42+60}{35}\\=\frac{102}{35}\)
10. \(-\left(\frac{13}{-8}\right)-\left(\frac{7}{3}\right)\\= \frac{13}{8}-\frac{7}{3}\\=\frac{39}{24}-\frac{56}{24}\\=\frac{39-56}{24}\\=\frac{-17}{24}\)
11. \(+\left(\frac{-14}{9}\right)+\left(\frac{3}{11}\right)\\= \frac{-14}{9}+\frac{3}{11}\\=\frac{-154}{99}+\frac{27}{99}\\=\frac{-154+27}{99}\\=\frac{-127}{99}\)
12. \(-\left(\frac{-13}{11}\right)+\left(\frac{-14}{-5}\right)\\= \frac{13}{11}+\frac{14}{5}\\=\frac{65}{55}+\frac{154}{55}\\=\frac{65+154}{55}\\=\frac{219}{55}\)