Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-5}{8}-\frac{10}{13}\\=\frac{-65}{104}-\frac{80}{104}\\=\frac{-65-80}{104}\\=\frac{-145}{104}\)
2. \(\frac{18}{11}-\frac{15}{8}\\=\frac{144}{88}-\frac{165}{88}\\=\frac{144-165}{88}\\=\frac{-21}{88}\)
3. \(\frac{-13}{7}-\frac{18}{11}\\=\frac{-143}{77}-\frac{126}{77}\\=\frac{-143-126}{77}\\=\frac{-269}{77}\)
4. \(\frac{11}{14}-\frac{6}{19}\\=\frac{209}{266}-\frac{84}{266}\\=\frac{209-84}{266}\\=\frac{125}{266}\)
5. \(\frac{-15}{16}-\frac{12}{19}\\=\frac{-285}{304}-\frac{192}{304}\\=\frac{-285-192}{304}\\=\frac{-477}{304}\)
6. \(\frac{-17}{18}-\frac{7}{15}\\=\frac{-85}{90}-\frac{42}{90}\\=\frac{-85-42}{90}\\=\frac{-127}{90}\)
7. \(\frac{-14}{17}-\frac{2}{15}\\=\frac{-210}{255}-\frac{34}{255}\\=\frac{-210-34}{255}\\=\frac{-244}{255}\)
8. \(\frac{-9}{7}-\frac{17}{18}\\=\frac{-162}{126}-\frac{119}{126}\\=\frac{-162-119}{126}\\=\frac{-281}{126}\)
9. \(\frac{-10}{17}-\frac{2}{3}\\=\frac{-30}{51}-\frac{34}{51}\\=\frac{-30-34}{51}\\=\frac{-64}{51}\)
10. \(\frac{7}{12}-\frac{14}{9}\\=\frac{21}{36}-\frac{56}{36}\\=\frac{21-56}{36}\\=\frac{-35}{36}\)
11. \(\frac{4}{19}-\frac{5}{8}\\=\frac{32}{152}-\frac{95}{152}\\=\frac{32-95}{152}\\=\frac{-63}{152}\)
12. \(\frac{3}{17}-\frac{14}{19}\\=\frac{57}{323}-\frac{238}{323}\\=\frac{57-238}{323}\\=\frac{-181}{323}\)