Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-11}{9}-\frac{16}{17}\\=\frac{-187}{153}-\frac{144}{153}\\=\frac{-187-144}{153}\\=\frac{-331}{153}\)
2. \(\frac{-20}{3}-\frac{20}{9}\\=\frac{-60}{9}-\frac{20}{9}\\=\frac{-60-20}{9}\\=\frac{-80}{9}\)
3. \(\frac{8}{9}-\frac{13}{8}\\=\frac{64}{72}-\frac{117}{72}\\=\frac{64-117}{72}\\=\frac{-53}{72}\)
4. \(\frac{18}{19}-\frac{3}{2}\\=\frac{36}{38}-\frac{57}{38}\\=\frac{36-57}{38}\\=\frac{-21}{38}\)
5. \(\frac{-20}{3}-\frac{13}{5}\\=\frac{-100}{15}-\frac{39}{15}\\=\frac{-100-39}{15}\\=\frac{-139}{15}\)
6. \(\frac{-3}{4}-\frac{19}{3}\\=\frac{-9}{12}-\frac{76}{12}\\=\frac{-9-76}{12}\\=\frac{-85}{12}\)
7. \(\frac{8}{19}-\frac{7}{9}\\=\frac{72}{171}-\frac{133}{171}\\=\frac{72-133}{171}\\=\frac{-61}{171}\)
8. \(\frac{-10}{11}-\frac{19}{9}\\=\frac{-90}{99}-\frac{209}{99}\\=\frac{-90-209}{99}\\=\frac{-299}{99}\)
9. \(\frac{2}{11}-\frac{10}{11}\\=\frac{2-10}{11}\\=\frac{-8}{11}\)
10. \(\frac{5}{11}-\frac{8}{5}\\=\frac{25}{55}-\frac{88}{55}\\=\frac{25-88}{55}\\=\frac{-63}{55}\)
11. \(\frac{12}{17}-\frac{19}{2}\\=\frac{24}{34}-\frac{323}{34}\\=\frac{24-323}{34}\\=\frac{-299}{34}\)
12. \(\frac{-9}{10}-\frac{7}{8}\\=\frac{-36}{40}-\frac{35}{40}\\=\frac{-36-35}{40}\\=\frac{-71}{40}\)