Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-18}{11}-\frac{5}{7}\\=\frac{-126}{77}-\frac{55}{77}\\=\frac{-126-55}{77}\\=\frac{-181}{77}\)
2. \(\frac{-16}{13}-\frac{17}{7}\\=\frac{-112}{91}-\frac{221}{91}\\=\frac{-112-221}{91}\\=\frac{-333}{91}\)
3. \(\frac{5}{8}-\frac{3}{16}\\=\frac{10}{16}-\frac{3}{16}\\=\frac{10-3}{16}\\=\frac{7}{16}\)
4. \(\frac{-9}{19}-\frac{16}{11}\\=\frac{-99}{209}-\frac{304}{209}\\=\frac{-99-304}{209}\\=\frac{-403}{209}\)
5. \(\frac{-7}{5}-\frac{5}{11}\\=\frac{-77}{55}-\frac{25}{55}\\=\frac{-77-25}{55}\\=\frac{-102}{55}\)
6. \(\frac{-17}{5}-\frac{4}{19}\\=\frac{-323}{95}-\frac{20}{95}\\=\frac{-323-20}{95}\\=\frac{-343}{95}\)
7. \(\frac{-7}{11}-\frac{13}{17}\\=\frac{-119}{187}-\frac{143}{187}\\=\frac{-119-143}{187}\\=\frac{-262}{187}\)
8. \(\frac{-19}{4}-\frac{10}{7}\\=\frac{-133}{28}-\frac{40}{28}\\=\frac{-133-40}{28}\\=\frac{-173}{28}\)
9. \(\frac{8}{17}-\frac{13}{6}\\=\frac{48}{102}-\frac{221}{102}\\=\frac{48-221}{102}\\=\frac{-173}{102}\)
10. \(\frac{-13}{10}-\frac{12}{11}\\=\frac{-143}{110}-\frac{120}{110}\\=\frac{-143-120}{110}\\=\frac{-263}{110}\)
11. \(\frac{7}{16}-\frac{9}{10}\\=\frac{35}{80}-\frac{72}{80}\\=\frac{35-72}{80}\\=\frac{-37}{80}\)
12. \(\frac{5}{3}-\frac{6}{7}\\=\frac{35}{21}-\frac{18}{21}\\=\frac{35-18}{21}\\=\frac{17}{21}\)