Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-18}{11}-\frac{14}{5}\\=\frac{-90}{55}-\frac{154}{55}\\=\frac{-90-154}{55}\\=\frac{-244}{55}\)
2. \(\frac{-3}{10}-\frac{2}{9}\\=\frac{-27}{90}-\frac{20}{90}\\=\frac{-27-20}{90}\\=\frac{-47}{90}\)
3. \(\frac{-19}{4}-\frac{10}{7}\\=\frac{-133}{28}-\frac{40}{28}\\=\frac{-133-40}{28}\\=\frac{-173}{28}\)
4. \(\frac{10}{7}-\frac{2}{17}\\=\frac{170}{119}-\frac{14}{119}\\=\frac{170-14}{119}\\=\frac{156}{119}\)
5. \(\frac{16}{17}-\frac{8}{15}\\=\frac{240}{255}-\frac{136}{255}\\=\frac{240-136}{255}\\=\frac{104}{255}\)
6. \(\frac{-13}{7}-\frac{16}{9}\\=\frac{-117}{63}-\frac{112}{63}\\=\frac{-117-112}{63}\\=\frac{-229}{63}\)
7. \(\frac{-16}{7}-\frac{6}{17}\\=\frac{-272}{119}-\frac{42}{119}\\=\frac{-272-42}{119}\\=\frac{-314}{119}\)
8. \(\frac{-18}{13}-\frac{15}{11}\\=\frac{-198}{143}-\frac{195}{143}\\=\frac{-198-195}{143}\\=\frac{-393}{143}\)
9. \(\frac{-11}{9}-\frac{18}{5}\\=\frac{-55}{45}-\frac{162}{45}\\=\frac{-55-162}{45}\\=\frac{-217}{45}\)
10. \(\frac{-1}{15}-\frac{20}{13}\\=\frac{-13}{195}-\frac{300}{195}\\=\frac{-13-300}{195}\\=\frac{-313}{195}\)
11. \(\frac{15}{4}-\frac{8}{5}\\=\frac{75}{20}-\frac{32}{20}\\=\frac{75-32}{20}\\=\frac{43}{20}\)
12. \(\frac{17}{13}-\frac{5}{2}\\=\frac{34}{26}-\frac{65}{26}\\=\frac{34-65}{26}\\=\frac{-31}{26}\)