Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-11}{6}-\frac{14}{13}\\=\frac{-143}{78}-\frac{84}{78}\\=\frac{-143-84}{78}\\=\frac{-227}{78}\)
2. \(\frac{-1}{17}-\frac{16}{7}\\=\frac{-7}{119}-\frac{272}{119}\\=\frac{-7-272}{119}\\=\frac{-279}{119}\)
3. \(\frac{-10}{11}-\frac{8}{19}\\=\frac{-190}{209}-\frac{88}{209}\\=\frac{-190-88}{209}\\=\frac{-278}{209}\)
4. \(\frac{-15}{19}-\frac{2}{15}\\=\frac{-225}{285}-\frac{38}{285}\\=\frac{-225-38}{285}\\=\frac{-263}{285}\)
5. \(\frac{-19}{4}-\frac{6}{17}\\=\frac{-323}{68}-\frac{24}{68}\\=\frac{-323-24}{68}\\=\frac{-347}{68}\)
6. \(\frac{-7}{15}-\frac{12}{17}\\=\frac{-119}{255}-\frac{180}{255}\\=\frac{-119-180}{255}\\=\frac{-299}{255}\)
7. \(\frac{-4}{13}-\frac{15}{11}\\=\frac{-44}{143}-\frac{195}{143}\\=\frac{-44-195}{143}\\=\frac{-239}{143}\)
8. \(\frac{13}{16}-\frac{18}{5}\\=\frac{65}{80}-\frac{288}{80}\\=\frac{65-288}{80}\\=\frac{-223}{80}\)
9. \(\frac{16}{13}-\frac{12}{11}\\=\frac{176}{143}-\frac{156}{143}\\=\frac{176-156}{143}\\=\frac{20}{143}\)
10. \(\frac{-11}{17}-\frac{9}{2}\\=\frac{-22}{34}-\frac{153}{34}\\=\frac{-22-153}{34}\\=\frac{-175}{34}\)
11. \(\frac{-16}{17}-\frac{2}{9}\\=\frac{-144}{153}-\frac{34}{153}\\=\frac{-144-34}{153}\\=\frac{-178}{153}\)
12. \(\frac{7}{9}-\frac{5}{16}\\=\frac{112}{144}-\frac{45}{144}\\=\frac{112-45}{144}\\=\frac{67}{144}\)