Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

---

Trek de breuken af

Verbetersleutel

1. \(\frac{4}{11}-\frac{19}{9}\\=\frac{36}{99}-\frac{209}{99}\\=\frac{36-209}{99}\\=\frac{-173}{99}\)
2. \(\frac{18}{17}-\frac{7}{2}\\=\frac{36}{34}-\frac{119}{34}\\=\frac{36-119}{34}\\=\frac{-83}{34}\)
3. \(\frac{-20}{19}-\frac{6}{17}\\=\frac{-340}{323}-\frac{114}{323}\\=\frac{-340-114}{323}\\=\frac{-454}{323}\)
4. \(\frac{3}{16}-\frac{6}{13}\\=\frac{39}{208}-\frac{96}{208}\\=\frac{39-96}{208}\\=\frac{-57}{208}\)
5. \(\frac{5}{7}-\frac{7}{11}\\=\frac{55}{77}-\frac{49}{77}\\=\frac{55-49}{77}\\=\frac{6}{77}\)
6. \(\frac{-7}{8}-\frac{8}{15}\\=\frac{-105}{120}-\frac{64}{120}\\=\frac{-105-64}{120}\\=\frac{-169}{120}\)
7. \(\frac{3}{7}-\frac{8}{19}\\=\frac{57}{133}-\frac{56}{133}\\=\frac{57-56}{133}\\=\frac{1}{133}\)
8. \(\frac{10}{9}-\frac{12}{5}\\=\frac{50}{45}-\frac{108}{45}\\=\frac{50-108}{45}\\=\frac{-58}{45}\)
9. \(\frac{15}{19}-\frac{14}{13}\\=\frac{195}{247}-\frac{266}{247}\\=\frac{195-266}{247}\\=\frac{-71}{247}\)
10. \(\frac{15}{17}-\frac{8}{15}\\=\frac{225}{255}-\frac{136}{255}\\=\frac{225-136}{255}\\=\frac{89}{255}\)
11. \(\frac{2}{17}-\frac{5}{13}\\=\frac{26}{221}-\frac{85}{221}\\=\frac{26-85}{221}\\=\frac{-59}{221}\)
12. \(\frac{11}{13}-\frac{11}{20}\\=\frac{220}{260}-\frac{143}{260}\\=\frac{220-143}{260}\\=\frac{77}{260}\)