Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-14}{9}-\frac{13}{18}\\=\frac{-28}{18}-\frac{13}{18}\\=\frac{-28-13}{18}\\=\frac{-41}{18}\)
2. \(\frac{-20}{13}-\frac{5}{12}\\=\frac{-240}{156}-\frac{65}{156}\\=\frac{-240-65}{156}\\=\frac{-305}{156}\)
3. \(\frac{8}{15}-\frac{15}{11}\\=\frac{88}{165}-\frac{225}{165}\\=\frac{88-225}{165}\\=\frac{-137}{165}\)
4. \(\frac{-5}{6}-\frac{8}{17}\\=\frac{-85}{102}-\frac{48}{102}\\=\frac{-85-48}{102}\\=\frac{-133}{102}\)
5. \(\frac{11}{18}-\frac{3}{13}\\=\frac{143}{234}-\frac{54}{234}\\=\frac{143-54}{234}\\=\frac{89}{234}\)
6. \(\frac{14}{3}-\frac{18}{19}\\=\frac{266}{57}-\frac{54}{57}\\=\frac{266-54}{57}\\=\frac{212}{57}\)
7. \(\frac{-7}{13}-\frac{16}{3}\\=\frac{-21}{39}-\frac{208}{39}\\=\frac{-21-208}{39}\\=\frac{-229}{39}\)
8. \(\frac{-13}{3}-\frac{19}{6}\\=\frac{-26}{6}-\frac{19}{6}\\=\frac{-26-19}{6}\\=\frac{-45}{6}\\=\frac{-15}{2}\)
9. \(\frac{19}{15}-\frac{14}{3}\\=\frac{19-14}{15}\\=\frac{5}{15}\\=\frac{1}{3}\)
10. \(\frac{5}{6}-\frac{10}{11}\\=\frac{55}{66}-\frac{60}{66}\\=\frac{55-60}{66}\\=\frac{-5}{66}\)
11. \(\frac{-10}{13}-\frac{17}{15}\\=\frac{-150}{195}-\frac{221}{195}\\=\frac{-150-221}{195}\\=\frac{-371}{195}\)
12. \(\frac{2}{7}-\frac{2}{5}\\=\frac{10}{35}-\frac{14}{35}\\=\frac{10-14}{35}\\=\frac{-4}{35}\)