Breuken aftrekken (reeks 2)

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Trek de breuken af

1. \(\frac{11}{17}-\frac{12}{5}\)
2. \(\frac{-9}{10}-\frac{20}{13}\)
3. \(\frac{-3}{19}-\frac{10}{13}\)
4. \(\frac{-17}{13}-\frac{5}{12}\)
5. \(\frac{20}{3}-\frac{20}{3}\)
6. \(\frac{-9}{10}-\frac{8}{15}\)
7. \(\frac{-14}{17}-\frac{18}{5}\)
8. \(\frac{-10}{7}-\frac{8}{3}\)
9. \(\frac{-15}{19}-\frac{16}{17}\)
10. \(\frac{-13}{7}-\frac{14}{3}\)
11. \(\frac{20}{13}-\frac{13}{6}\)
12. \(\frac{-9}{14}-\frac{9}{13}\)

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Trek de breuken af

Verbetersleutel

1. \(\frac{11}{17}-\frac{12}{5}\\=\frac{55}{85}-\frac{204}{85}\\=\frac{55-204}{85}\\=\frac{-149}{85}\)
2. \(\frac{-9}{10}-\frac{20}{13}\\=\frac{-117}{130}-\frac{200}{130}\\=\frac{-117-200}{130}\\=\frac{-317}{130}\)
3. \(\frac{-3}{19}-\frac{10}{13}\\=\frac{-39}{247}-\frac{190}{247}\\=\frac{-39-190}{247}\\=\frac{-229}{247}\)
4. \(\frac{-17}{13}-\frac{5}{12}\\=\frac{-204}{156}-\frac{65}{156}\\=\frac{-204-65}{156}\\=\frac{-269}{156}\)
5. \(\frac{20}{3}-\frac{20}{3}\\=\frac{20-20}{3}\\=\frac{0}{3}\\=\frac{0}{1}\)
6. \(\frac{-9}{10}-\frac{8}{15}\\=\frac{-27}{30}-\frac{16}{30}\\=\frac{-27-16}{30}\\=\frac{-43}{30}\)
7. \(\frac{-14}{17}-\frac{18}{5}\\=\frac{-70}{85}-\frac{306}{85}\\=\frac{-70-306}{85}\\=\frac{-376}{85}\)
8. \(\frac{-10}{7}-\frac{8}{3}\\=\frac{-30}{21}-\frac{56}{21}\\=\frac{-30-56}{21}\\=\frac{-86}{21}\)
9. \(\frac{-15}{19}-\frac{16}{17}\\=\frac{-255}{323}-\frac{304}{323}\\=\frac{-255-304}{323}\\=\frac{-559}{323}\)
10. \(\frac{-13}{7}-\frac{14}{3}\\=\frac{-39}{21}-\frac{98}{21}\\=\frac{-39-98}{21}\\=\frac{-137}{21}\)
11. \(\frac{20}{13}-\frac{13}{6}\\=\frac{120}{78}-\frac{169}{78}\\=\frac{120-169}{78}\\=\frac{-49}{78}\)
12. \(\frac{-9}{14}-\frac{9}{13}\\=\frac{-117}{182}-\frac{126}{182}\\=\frac{-117-126}{182}\\=\frac{-243}{182}\)