Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{1}{2}-\frac{10}{19}\\=\frac{19}{38}-\frac{20}{38}\\=\frac{19-20}{38}\\=\frac{-1}{38}\)
2. \(\frac{-16}{7}-\frac{3}{13}\\=\frac{-208}{91}-\frac{21}{91}\\=\frac{-208-21}{91}\\=\frac{-229}{91}\)
3. \(\frac{-7}{18}-\frac{5}{18}\\=\frac{-7-5}{18}\\=\frac{-12}{18}\\=\frac{-2}{3}\)
4. \(\frac{5}{4}-\frac{4}{19}\\=\frac{95}{76}-\frac{16}{76}\\=\frac{95-16}{76}\\=\frac{79}{76}\)
5. \(\frac{13}{5}-\frac{19}{18}\\=\frac{234}{90}-\frac{95}{90}\\=\frac{234-95}{90}\\=\frac{139}{90}\)
6. \(\frac{-7}{12}-\frac{5}{8}\\=\frac{-14}{24}-\frac{15}{24}\\=\frac{-14-15}{24}\\=\frac{-29}{24}\)
7. \(\frac{18}{17}-\frac{15}{19}\\=\frac{342}{323}-\frac{255}{323}\\=\frac{342-255}{323}\\=\frac{87}{323}\)
8. \(\frac{9}{7}-\frac{18}{13}\\=\frac{117}{91}-\frac{126}{91}\\=\frac{117-126}{91}\\=\frac{-9}{91}\)
9. \(\frac{11}{18}-\frac{9}{19}\\=\frac{209}{342}-\frac{162}{342}\\=\frac{209-162}{342}\\=\frac{47}{342}\)
10. \(\frac{15}{7}-\frac{17}{19}\\=\frac{285}{133}-\frac{119}{133}\\=\frac{285-119}{133}\\=\frac{166}{133}\)
11. \(\frac{10}{3}-\frac{18}{11}\\=\frac{110}{33}-\frac{54}{33}\\=\frac{110-54}{33}\\=\frac{56}{33}\)
12. \(\frac{3}{2}-\frac{17}{2}\\=\frac{3-17}{2}\\=\frac{-14}{2}\\=\frac{-7}{1}\)