Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-12}{13}-\frac{12}{13}\\=\frac{-12-12}{13}\\=\frac{-24}{13}\)
2. \(\frac{7}{16}-\frac{20}{13}\\=\frac{91}{208}-\frac{320}{208}\\=\frac{91-320}{208}\\=\frac{-229}{208}\)
3. \(\frac{-4}{15}-\frac{16}{5}\\=\frac{-4-16}{15}\\=\frac{-20}{15}\\=\frac{-4}{3}\)
4. \(\frac{9}{13}-\frac{2}{9}\\=\frac{81}{117}-\frac{26}{117}\\=\frac{81-26}{117}\\=\frac{55}{117}\)
5. \(\frac{-1}{17}-\frac{5}{13}\\=\frac{-13}{221}-\frac{85}{221}\\=\frac{-13-85}{221}\\=\frac{-98}{221}\)
6. \(\frac{-14}{19}-\frac{7}{19}\\=\frac{-14-7}{19}\\=\frac{-21}{19}\)
7. \(\frac{-18}{13}-\frac{7}{19}\\=\frac{-342}{247}-\frac{91}{247}\\=\frac{-342-91}{247}\\=\frac{-433}{247}\)
8. \(\frac{-10}{3}-\frac{17}{13}\\=\frac{-130}{39}-\frac{51}{39}\\=\frac{-130-51}{39}\\=\frac{-181}{39}\)
9. \(\frac{1}{12}-\frac{9}{5}\\=\frac{5}{60}-\frac{108}{60}\\=\frac{5-108}{60}\\=\frac{-103}{60}\)
10. \(\frac{5}{6}-\frac{16}{11}\\=\frac{55}{66}-\frac{96}{66}\\=\frac{55-96}{66}\\=\frac{-41}{66}\)
11. \(\frac{-2}{13}-\frac{3}{14}\\=\frac{-28}{182}-\frac{39}{182}\\=\frac{-28-39}{182}\\=\frac{-67}{182}\)
12. \(\frac{-5}{12}-\frac{16}{5}\\=\frac{-25}{60}-\frac{192}{60}\\=\frac{-25-192}{60}\\=\frac{-217}{60}\)