Breuken haakjesregel (reeks 1)

Hoofdmenu Eentje per keer  🖨

Bereken

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

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Bereken

Verbetersleutel

1. \(-\left(\frac{-7}{-2}\right)-\left(\frac{-4}{-3}\right)\\= \frac{-7}{2}-\frac{4}{3}\\=\frac{-21}{6}-\frac{8}{6}\\=\frac{-21-8}{6}\\=\frac{-29}{6}\)
2. \(+\left(\frac{-5}{9}\right)+\left(\frac{15}{-2}\right)\\= \frac{-5}{9}-\frac{15}{2}\\=\frac{-10}{18}-\frac{135}{18}\\=\frac{-10-135}{18}\\=\frac{-145}{18}\)
3. \(-\left(\frac{11}{7}\right)-\left(\frac{15}{-7}\right)\\= \frac{-11}{7}+\frac{15}{7}\\=\frac{-11+15}{7}\\=\frac{4}{7}\)
4. \(+\left(\frac{4}{3}\right)-\left(\frac{-12}{-7}\right)\\= \frac{4}{3}-\frac{12}{7}\\=\frac{28}{21}-\frac{36}{21}\\=\frac{28-36}{21}\\=\frac{-8}{21}\)
5. \(-\left(\frac{10}{-7}\right)-\left(\frac{13}{3}\right)\\= \frac{10}{7}-\frac{13}{3}\\=\frac{30}{21}-\frac{91}{21}\\=\frac{30-91}{21}\\=\frac{-61}{21}\)
6. \(-\left(\frac{-9}{13}\right)+\left(\frac{13}{6}\right)\\= \frac{9}{13}+\frac{13}{6}\\=\frac{54}{78}+\frac{169}{78}\\=\frac{54+169}{78}\\=\frac{223}{78}\)
7. \(+\left(\frac{14}{5}\right)+\left(\frac{-8}{-9}\right)\\= \frac{14}{5}+\frac{8}{9}\\=\frac{126}{45}+\frac{40}{45}\\=\frac{126+40}{45}\\=\frac{166}{45}\)
8. \(+\left(\frac{10}{7}\right)-\left(\frac{8}{-3}\right)\\= \frac{10}{7}+\frac{8}{3}\\=\frac{30}{21}+\frac{56}{21}\\=\frac{30+56}{21}\\=\frac{86}{21}\)
9. \(-\left(\frac{-7}{3}\right)+\left(\frac{-3}{4}\right)\\= \frac{7}{3}-\frac{3}{4}\\=\frac{28}{12}-\frac{9}{12}\\=\frac{28-9}{12}\\=\frac{19}{12}\)
10. \(-\left(\frac{-3}{13}\right)+\left(\frac{-3}{13}\right)\\= \frac{3}{13}-\frac{3}{13}\\=\frac{3-3}{13}\\=\frac{0}{13}\\=\frac{0}{1}\)
11. \(+\left(\frac{-8}{7}\right)-\left(\frac{-9}{5}\right)\\= \frac{-8}{7}+\frac{9}{5}\\=\frac{-40}{35}+\frac{63}{35}\\=\frac{-40+63}{35}\\=\frac{23}{35}\)
12. \(+\left(\frac{-15}{2}\right)-\left(\frac{-3}{-5}\right)\\= \frac{-15}{2}-\frac{3}{5}\\=\frac{-75}{10}-\frac{6}{10}\\=\frac{-75-6}{10}\\=\frac{-81}{10}\)