Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-10}{7}-\frac{2}{3}\\=\frac{-30}{21}-\frac{14}{21}\\=\frac{-30-14}{21}\\=\frac{-44}{21}\)
2. \(\frac{-9}{5}-\frac{18}{5}\\=\frac{-9-18}{5}\\=\frac{-27}{5}\)
3. \(\frac{-2}{3}-\frac{16}{15}\\=\frac{-10}{15}-\frac{16}{15}\\=\frac{-10-16}{15}\\=\frac{-26}{15}\)
4. \(\frac{5}{6}-\frac{9}{11}\\=\frac{55}{66}-\frac{54}{66}\\=\frac{55-54}{66}\\=\frac{1}{66}\)
5. \(\frac{-15}{19}-\frac{12}{5}\\=\frac{-75}{95}-\frac{228}{95}\\=\frac{-75-228}{95}\\=\frac{-303}{95}\)
6. \(\frac{-20}{3}-\frac{12}{5}\\=\frac{-100}{15}-\frac{36}{15}\\=\frac{-100-36}{15}\\=\frac{-136}{15}\)
7. \(\frac{-9}{14}-\frac{16}{3}\\=\frac{-27}{42}-\frac{224}{42}\\=\frac{-27-224}{42}\\=\frac{-251}{42}\)
8. \(\frac{14}{5}-\frac{8}{3}\\=\frac{42}{15}-\frac{40}{15}\\=\frac{42-40}{15}\\=\frac{2}{15}\)
9. \(\frac{10}{3}-\frac{5}{4}\\=\frac{40}{12}-\frac{15}{12}\\=\frac{40-15}{12}\\=\frac{25}{12}\)
10. \(\frac{12}{17}-\frac{9}{16}\\=\frac{192}{272}-\frac{153}{272}\\=\frac{192-153}{272}\\=\frac{39}{272}\)
11. \(\frac{20}{11}-\frac{7}{4}\\=\frac{80}{44}-\frac{77}{44}\\=\frac{80-77}{44}\\=\frac{3}{44}\)
12. \(\frac{-19}{11}-\frac{6}{11}\\=\frac{-19-6}{11}\\=\frac{-25}{11}\)