Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-10}{7}-\frac{10}{17}\\=\frac{-170}{119}-\frac{70}{119}\\=\frac{-170-70}{119}\\=\frac{-240}{119}\)
2. \(\frac{-16}{7}-\frac{18}{17}\\=\frac{-272}{119}-\frac{126}{119}\\=\frac{-272-126}{119}\\=\frac{-398}{119}\)
3. \(\frac{-4}{9}-\frac{16}{17}\\=\frac{-68}{153}-\frac{144}{153}\\=\frac{-68-144}{153}\\=\frac{-212}{153}\)
4. \(\frac{-19}{5}-\frac{12}{17}\\=\frac{-323}{85}-\frac{60}{85}\\=\frac{-323-60}{85}\\=\frac{-383}{85}\)
5. \(\frac{8}{7}-\frac{12}{13}\\=\frac{104}{91}-\frac{84}{91}\\=\frac{104-84}{91}\\=\frac{20}{91}\)
6. \(\frac{14}{19}-\frac{20}{17}\\=\frac{238}{323}-\frac{380}{323}\\=\frac{238-380}{323}\\=\frac{-142}{323}\)
7. \(\frac{2}{3}-\frac{14}{15}\\=\frac{10}{15}-\frac{14}{15}\\=\frac{10-14}{15}\\=\frac{-4}{15}\)
8. \(\frac{-20}{3}-\frac{14}{9}\\=\frac{-60}{9}-\frac{14}{9}\\=\frac{-60-14}{9}\\=\frac{-74}{9}\)
9. \(\frac{-13}{14}-\frac{6}{7}\\=\frac{-13-6}{14}\\=\frac{-19}{14}\)
10. \(\frac{15}{17}-\frac{10}{19}\\=\frac{285}{323}-\frac{170}{323}\\=\frac{285-170}{323}\\=\frac{115}{323}\)
11. \(\frac{17}{6}-\frac{20}{17}\\=\frac{289}{102}-\frac{120}{102}\\=\frac{289-120}{102}\\=\frac{169}{102}\)
12. \(\frac{-5}{11}-\frac{19}{13}\\=\frac{-65}{143}-\frac{209}{143}\\=\frac{-65-209}{143}\\=\frac{-274}{143}\)