Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-1}{5}-\frac{16}{19}\\=\frac{-19}{95}-\frac{80}{95}\\=\frac{-19-80}{95}\\=\frac{-99}{95}\)
2. \(\frac{-14}{17}-\frac{3}{13}\\=\frac{-182}{221}-\frac{51}{221}\\=\frac{-182-51}{221}\\=\frac{-233}{221}\)
3. \(\frac{-7}{9}-\frac{18}{13}\\=\frac{-91}{117}-\frac{162}{117}\\=\frac{-91-162}{117}\\=\frac{-253}{117}\)
4. \(\frac{18}{13}-\frac{13}{18}\\=\frac{324}{234}-\frac{169}{234}\\=\frac{324-169}{234}\\=\frac{155}{234}\)
5. \(\frac{13}{14}-\frac{11}{12}\\=\frac{78}{84}-\frac{77}{84}\\=\frac{78-77}{84}\\=\frac{1}{84}\)
6. \(\frac{-2}{7}-\frac{16}{5}\\=\frac{-10}{35}-\frac{112}{35}\\=\frac{-10-112}{35}\\=\frac{-122}{35}\)
7. \(\frac{4}{5}-\frac{7}{16}\\=\frac{64}{80}-\frac{35}{80}\\=\frac{64-35}{80}\\=\frac{29}{80}\)
8. \(\frac{7}{2}-\frac{20}{7}\\=\frac{49}{14}-\frac{40}{14}\\=\frac{49-40}{14}\\=\frac{9}{14}\)
9. \(\frac{-4}{17}-\frac{12}{17}\\=\frac{-4-12}{17}\\=\frac{-16}{17}\)
10. \(\frac{-11}{10}-\frac{14}{9}\\=\frac{-99}{90}-\frac{140}{90}\\=\frac{-99-140}{90}\\=\frac{-239}{90}\)
11. \(\frac{10}{7}-\frac{10}{3}\\=\frac{30}{21}-\frac{70}{21}\\=\frac{30-70}{21}\\=\frac{-40}{21}\)
12. \(\frac{5}{16}-\frac{18}{5}\\=\frac{25}{80}-\frac{288}{80}\\=\frac{25-288}{80}\\=\frac{-263}{80}\)