Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{6}{7}-\frac{18}{7}\\=\frac{6-18}{7}\\=\frac{-12}{7}\)
2. \(\frac{-8}{9}-\frac{20}{17}\\=\frac{-136}{153}-\frac{180}{153}\\=\frac{-136-180}{153}\\=\frac{-316}{153}\)
3. \(\frac{-18}{13}-\frac{20}{7}\\=\frac{-126}{91}-\frac{260}{91}\\=\frac{-126-260}{91}\\=\frac{-386}{91}\)
4. \(\frac{18}{17}-\frac{18}{17}\\=\frac{18-18}{17}\\=\frac{0}{17}\\=\frac{0}{1}\)
5. \(\frac{14}{15}-\frac{19}{5}\\=\frac{14-19}{15}\\=\frac{-5}{15}\\=\frac{-1}{3}\)
6. \(\frac{4}{15}-\frac{14}{3}\\=\frac{4-14}{15}\\=\frac{-10}{15}\\=\frac{-2}{3}\)
7. \(\frac{3}{16}-\frac{9}{7}\\=\frac{21}{112}-\frac{144}{112}\\=\frac{21-144}{112}\\=\frac{-123}{112}\)
8. \(\frac{-16}{11}-\frac{18}{17}\\=\frac{-272}{187}-\frac{198}{187}\\=\frac{-272-198}{187}\\=\frac{-470}{187}\)
9. \(\frac{-9}{14}-\frac{17}{19}\\=\frac{-171}{266}-\frac{238}{266}\\=\frac{-171-238}{266}\\=\frac{-409}{266}\)
10. \(\frac{-16}{17}-\frac{6}{17}\\=\frac{-16-6}{17}\\=\frac{-22}{17}\)
11. \(\frac{18}{19}-\frac{6}{13}\\=\frac{234}{247}-\frac{114}{247}\\=\frac{234-114}{247}\\=\frac{120}{247}\)
12. \(\frac{17}{18}-\frac{8}{15}\\=\frac{85}{90}-\frac{48}{90}\\=\frac{85-48}{90}\\=\frac{37}{90}\)