Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{16}{17}-\frac{7}{8}\\=\frac{128}{136}-\frac{119}{136}\\=\frac{128-119}{136}\\=\frac{9}{136}\)
2. \(\frac{-9}{17}-\frac{16}{15}\\=\frac{-135}{255}-\frac{272}{255}\\=\frac{-135-272}{255}\\=\frac{-407}{255}\)
3. \(\frac{-7}{2}-\frac{16}{15}\\=\frac{-105}{30}-\frac{32}{30}\\=\frac{-105-32}{30}\\=\frac{-137}{30}\)
4. \(\frac{-11}{19}-\frac{3}{8}\\=\frac{-88}{152}-\frac{57}{152}\\=\frac{-88-57}{152}\\=\frac{-145}{152}\)
5. \(\frac{17}{9}-\frac{16}{11}\\=\frac{187}{99}-\frac{144}{99}\\=\frac{187-144}{99}\\=\frac{43}{99}\)
6. \(\frac{20}{19}-\frac{3}{14}\\=\frac{280}{266}-\frac{57}{266}\\=\frac{280-57}{266}\\=\frac{223}{266}\)
7. \(\frac{-1}{13}-\frac{2}{7}\\=\frac{-7}{91}-\frac{26}{91}\\=\frac{-7-26}{91}\\=\frac{-33}{91}\)
8. \(\frac{19}{6}-\frac{6}{7}\\=\frac{133}{42}-\frac{36}{42}\\=\frac{133-36}{42}\\=\frac{97}{42}\)
9. \(\frac{-5}{4}-\frac{8}{11}\\=\frac{-55}{44}-\frac{32}{44}\\=\frac{-55-32}{44}\\=\frac{-87}{44}\)
10. \(\frac{-4}{15}-\frac{18}{5}\\=\frac{-4-18}{15}\\=\frac{-22}{15}\)
11. \(\frac{3}{7}-\frac{19}{10}\\=\frac{30}{70}-\frac{133}{70}\\=\frac{30-133}{70}\\=\frac{-103}{70}\)
12. \(\frac{5}{12}-\frac{3}{19}\\=\frac{95}{228}-\frac{36}{228}\\=\frac{95-36}{228}\\=\frac{59}{228}\)