Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-10}{11}-\frac{8}{11}\\=\frac{-10-8}{11}\\=\frac{-18}{11}\)
2. \(\frac{-8}{13}-\frac{20}{13}\\=\frac{-8-20}{13}\\=\frac{-28}{13}\)
3. \(\frac{-13}{7}-\frac{17}{8}\\=\frac{-104}{56}-\frac{119}{56}\\=\frac{-104-119}{56}\\=\frac{-223}{56}\)
4. \(\frac{2}{3}-\frac{7}{12}\\=\frac{8}{12}-\frac{7}{12}\\=\frac{8-7}{12}\\=\frac{1}{12}\)
5. \(\frac{14}{15}-\frac{4}{19}\\=\frac{266}{285}-\frac{60}{285}\\=\frac{266-60}{285}\\=\frac{206}{285}\)
6. \(\frac{-9}{7}-\frac{2}{9}\\=\frac{-81}{63}-\frac{14}{63}\\=\frac{-81-14}{63}\\=\frac{-95}{63}\)
7. \(\frac{-16}{7}-\frac{13}{6}\\=\frac{-96}{42}-\frac{91}{42}\\=\frac{-96-91}{42}\\=\frac{-187}{42}\)
8. \(\frac{-12}{11}-\frac{3}{20}\\=\frac{-240}{220}-\frac{33}{220}\\=\frac{-240-33}{220}\\=\frac{-273}{220}\)
9. \(\frac{-15}{7}-\frac{12}{5}\\=\frac{-75}{35}-\frac{84}{35}\\=\frac{-75-84}{35}\\=\frac{-159}{35}\)
10. \(\frac{12}{7}-\frac{11}{18}\\=\frac{216}{126}-\frac{77}{126}\\=\frac{216-77}{126}\\=\frac{139}{126}\)
11. \(\frac{-9}{11}-\frac{9}{7}\\=\frac{-63}{77}-\frac{99}{77}\\=\frac{-63-99}{77}\\=\frac{-162}{77}\)
12. \(\frac{19}{11}-\frac{18}{11}\\=\frac{19-18}{11}\\=\frac{1}{11}\)