Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-7}{15}-\frac{8}{17}\\=\frac{-119}{255}-\frac{120}{255}\\=\frac{-119-120}{255}\\=\frac{-239}{255}\)
2. \(\frac{-8}{17}-\frac{16}{3}\\=\frac{-24}{51}-\frac{272}{51}\\=\frac{-24-272}{51}\\=\frac{-296}{51}\)
3. \(\frac{-3}{4}-\frac{6}{17}\\=\frac{-51}{68}-\frac{24}{68}\\=\frac{-51-24}{68}\\=\frac{-75}{68}\)
4. \(\frac{1}{11}-\frac{20}{19}\\=\frac{19}{209}-\frac{220}{209}\\=\frac{19-220}{209}\\=\frac{-201}{209}\)
5. \(\frac{-2}{5}-\frac{16}{3}\\=\frac{-6}{15}-\frac{80}{15}\\=\frac{-6-80}{15}\\=\frac{-86}{15}\)
6. \(\frac{19}{11}-\frac{13}{15}\\=\frac{285}{165}-\frac{143}{165}\\=\frac{285-143}{165}\\=\frac{142}{165}\)
7. \(\frac{19}{8}-\frac{4}{17}\\=\frac{323}{136}-\frac{32}{136}\\=\frac{323-32}{136}\\=\frac{291}{136}\)
8. \(\frac{12}{17}-\frac{7}{6}\\=\frac{72}{102}-\frac{119}{102}\\=\frac{72-119}{102}\\=\frac{-47}{102}\)
9. \(\frac{-1}{10}-\frac{8}{15}\\=\frac{-3}{30}-\frac{16}{30}\\=\frac{-3-16}{30}\\=\frac{-19}{30}\)
10. \(\frac{-4}{17}-\frac{17}{12}\\=\frac{-48}{204}-\frac{289}{204}\\=\frac{-48-289}{204}\\=\frac{-337}{204}\)
11. \(\frac{-7}{4}-\frac{10}{19}\\=\frac{-133}{76}-\frac{40}{76}\\=\frac{-133-40}{76}\\=\frac{-173}{76}\)
12. \(\frac{-19}{11}-\frac{9}{17}\\=\frac{-323}{187}-\frac{99}{187}\\=\frac{-323-99}{187}\\=\frac{-422}{187}\)