Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{13}{19}-\frac{19}{12}\\=\frac{156}{228}-\frac{361}{228}\\=\frac{156-361}{228}\\=\frac{-205}{228}\)
2. \(\frac{17}{3}-\frac{13}{4}\\=\frac{68}{12}-\frac{39}{12}\\=\frac{68-39}{12}\\=\frac{29}{12}\)
3. \(\frac{-6}{19}-\frac{13}{15}\\=\frac{-90}{285}-\frac{247}{285}\\=\frac{-90-247}{285}\\=\frac{-337}{285}\)
4. \(\frac{-17}{3}-\frac{8}{5}\\=\frac{-85}{15}-\frac{24}{15}\\=\frac{-85-24}{15}\\=\frac{-109}{15}\)
5. \(\frac{20}{17}-\frac{16}{15}\\=\frac{300}{255}-\frac{272}{255}\\=\frac{300-272}{255}\\=\frac{28}{255}\)
6. \(\frac{-18}{19}-\frac{13}{17}\\=\frac{-306}{323}-\frac{247}{323}\\=\frac{-306-247}{323}\\=\frac{-553}{323}\)
7. \(\frac{-2}{9}-\frac{14}{13}\\=\frac{-26}{117}-\frac{126}{117}\\=\frac{-26-126}{117}\\=\frac{-152}{117}\)
8. \(\frac{-4}{9}-\frac{5}{11}\\=\frac{-44}{99}-\frac{45}{99}\\=\frac{-44-45}{99}\\=\frac{-89}{99}\)
9. \(\frac{-14}{19}-\frac{12}{7}\\=\frac{-98}{133}-\frac{228}{133}\\=\frac{-98-228}{133}\\=\frac{-326}{133}\)
10. \(\frac{-14}{3}-\frac{8}{9}\\=\frac{-42}{9}-\frac{8}{9}\\=\frac{-42-8}{9}\\=\frac{-50}{9}\)
11. \(\frac{-4}{5}-\frac{6}{17}\\=\frac{-68}{85}-\frac{30}{85}\\=\frac{-68-30}{85}\\=\frac{-98}{85}\)
12. \(\frac{-7}{12}-\frac{3}{5}\\=\frac{-35}{60}-\frac{36}{60}\\=\frac{-35-36}{60}\\=\frac{-71}{60}\)