Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-14}{3}-\frac{18}{11}\\=\frac{-154}{33}-\frac{54}{33}\\=\frac{-154-54}{33}\\=\frac{-208}{33}\)
2. \(\frac{11}{7}-\frac{19}{18}\\=\frac{198}{126}-\frac{133}{126}\\=\frac{198-133}{126}\\=\frac{65}{126}\)
3. \(\frac{-5}{6}-\frac{10}{9}\\=\frac{-15}{18}-\frac{20}{18}\\=\frac{-15-20}{18}\\=\frac{-35}{18}\)
4. \(\frac{-12}{17}-\frac{14}{5}\\=\frac{-60}{85}-\frac{238}{85}\\=\frac{-60-238}{85}\\=\frac{-298}{85}\)
5. \(\frac{19}{2}-\frac{2}{3}\\=\frac{57}{6}-\frac{4}{6}\\=\frac{57-4}{6}\\=\frac{53}{6}\)
6. \(\frac{-2}{9}-\frac{12}{13}\\=\frac{-26}{117}-\frac{108}{117}\\=\frac{-26-108}{117}\\=\frac{-134}{117}\)
7. \(\frac{-17}{3}-\frac{3}{2}\\=\frac{-34}{6}-\frac{9}{6}\\=\frac{-34-9}{6}\\=\frac{-43}{6}\)
8. \(\frac{10}{13}-\frac{19}{8}\\=\frac{80}{104}-\frac{247}{104}\\=\frac{80-247}{104}\\=\frac{-167}{104}\)
9. \(\frac{-12}{5}-\frac{3}{19}\\=\frac{-228}{95}-\frac{15}{95}\\=\frac{-228-15}{95}\\=\frac{-243}{95}\)
10. \(\frac{14}{9}-\frac{19}{9}\\=\frac{14-19}{9}\\=\frac{-5}{9}\)
11. \(\frac{-14}{15}-\frac{20}{19}\\=\frac{-266}{285}-\frac{300}{285}\\=\frac{-266-300}{285}\\=\frac{-566}{285}\)
12. \(\frac{-11}{6}-\frac{9}{17}\\=\frac{-187}{102}-\frac{54}{102}\\=\frac{-187-54}{102}\\=\frac{-241}{102}\)