Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-5}{9}-\frac{4}{11}\\=\frac{-55}{99}-\frac{36}{99}\\=\frac{-55-36}{99}\\=\frac{-91}{99}\)
2. \(\frac{19}{5}-\frac{9}{11}\\=\frac{209}{55}-\frac{45}{55}\\=\frac{209-45}{55}\\=\frac{164}{55}\)
3. \(\frac{-5}{12}-\frac{9}{20}\\=\frac{-25}{60}-\frac{27}{60}\\=\frac{-25-27}{60}\\=\frac{-52}{60}\\=\frac{-13}{15}\)
4. \(\frac{6}{17}-\frac{3}{8}\\=\frac{48}{136}-\frac{51}{136}\\=\frac{48-51}{136}\\=\frac{-3}{136}\)
5. \(\frac{-20}{9}-\frac{6}{5}\\=\frac{-100}{45}-\frac{54}{45}\\=\frac{-100-54}{45}\\=\frac{-154}{45}\)
6. \(\frac{18}{13}-\frac{19}{13}\\=\frac{18-19}{13}\\=\frac{-1}{13}\)
7. \(\frac{7}{3}-\frac{5}{13}\\=\frac{91}{39}-\frac{15}{39}\\=\frac{91-15}{39}\\=\frac{76}{39}\)
8. \(\frac{-17}{13}-\frac{16}{19}\\=\frac{-323}{247}-\frac{208}{247}\\=\frac{-323-208}{247}\\=\frac{-531}{247}\)
9. \(\frac{5}{2}-\frac{8}{13}\\=\frac{65}{26}-\frac{16}{26}\\=\frac{65-16}{26}\\=\frac{49}{26}\)
10. \(\frac{5}{6}-\frac{10}{11}\\=\frac{55}{66}-\frac{60}{66}\\=\frac{55-60}{66}\\=\frac{-5}{66}\)
11. \(\frac{15}{2}-\frac{11}{7}\\=\frac{105}{14}-\frac{22}{14}\\=\frac{105-22}{14}\\=\frac{83}{14}\)
12. \(\frac{-4}{9}-\frac{16}{17}\\=\frac{-68}{153}-\frac{144}{153}\\=\frac{-68-144}{153}\\=\frac{-212}{153}\)