Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{4}{7}-\frac{18}{17}\\=\frac{68}{119}-\frac{126}{119}\\=\frac{68-126}{119}\\=\frac{-58}{119}\)
2. \(\frac{18}{19}-\frac{6}{17}\\=\frac{306}{323}-\frac{114}{323}\\=\frac{306-114}{323}\\=\frac{192}{323}\)
3. \(\frac{-20}{7}-\frac{6}{17}\\=\frac{-340}{119}-\frac{42}{119}\\=\frac{-340-42}{119}\\=\frac{-382}{119}\)
4. \(\frac{-4}{19}-\frac{5}{13}\\=\frac{-52}{247}-\frac{95}{247}\\=\frac{-52-95}{247}\\=\frac{-147}{247}\)
5. \(\frac{-20}{19}-\frac{14}{3}\\=\frac{-60}{57}-\frac{266}{57}\\=\frac{-60-266}{57}\\=\frac{-326}{57}\)
6. \(\frac{-1}{10}-\frac{5}{11}\\=\frac{-11}{110}-\frac{50}{110}\\=\frac{-11-50}{110}\\=\frac{-61}{110}\)
7. \(\frac{12}{17}-\frac{4}{19}\\=\frac{228}{323}-\frac{68}{323}\\=\frac{228-68}{323}\\=\frac{160}{323}\)
8. \(\frac{-1}{5}-\frac{20}{3}\\=\frac{-3}{15}-\frac{100}{15}\\=\frac{-3-100}{15}\\=\frac{-103}{15}\)
9. \(\frac{16}{7}-\frac{20}{7}\\=\frac{16-20}{7}\\=\frac{-4}{7}\)
10. \(\frac{10}{19}-\frac{17}{15}\\=\frac{150}{285}-\frac{323}{285}\\=\frac{150-323}{285}\\=\frac{-173}{285}\)
11. \(\frac{16}{13}-\frac{16}{19}\\=\frac{304}{247}-\frac{208}{247}\\=\frac{304-208}{247}\\=\frac{96}{247}\)
12. \(\frac{13}{18}-\frac{6}{5}\\=\frac{65}{90}-\frac{108}{90}\\=\frac{65-108}{90}\\=\frac{-43}{90}\)