Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-1}{19}-\frac{9}{17}\\=\frac{-17}{323}-\frac{171}{323}\\=\frac{-17-171}{323}\\=\frac{-188}{323}\)
2. \(\frac{17}{12}-\frac{18}{13}\\=\frac{221}{156}-\frac{216}{156}\\=\frac{221-216}{156}\\=\frac{5}{156}\)
3. \(\frac{-1}{17}-\frac{13}{5}\\=\frac{-5}{85}-\frac{221}{85}\\=\frac{-5-221}{85}\\=\frac{-226}{85}\)
4. \(\frac{-12}{5}-\frac{3}{17}\\=\frac{-204}{85}-\frac{15}{85}\\=\frac{-204-15}{85}\\=\frac{-219}{85}\)
5. \(\frac{-19}{16}-\frac{12}{19}\\=\frac{-361}{304}-\frac{192}{304}\\=\frac{-361-192}{304}\\=\frac{-553}{304}\)
6. \(\frac{20}{9}-\frac{11}{5}\\=\frac{100}{45}-\frac{99}{45}\\=\frac{100-99}{45}\\=\frac{1}{45}\)
7. \(\frac{-12}{5}-\frac{15}{16}\\=\frac{-192}{80}-\frac{75}{80}\\=\frac{-192-75}{80}\\=\frac{-267}{80}\)
8. \(\frac{17}{3}-\frac{12}{5}\\=\frac{85}{15}-\frac{36}{15}\\=\frac{85-36}{15}\\=\frac{49}{15}\)
9. \(\frac{20}{3}-\frac{16}{5}\\=\frac{100}{15}-\frac{48}{15}\\=\frac{100-48}{15}\\=\frac{52}{15}\)
10. \(\frac{5}{6}-\frac{12}{19}\\=\frac{95}{114}-\frac{72}{114}\\=\frac{95-72}{114}\\=\frac{23}{114}\)
11. \(\frac{6}{19}-\frac{2}{3}\\=\frac{18}{57}-\frac{38}{57}\\=\frac{18-38}{57}\\=\frac{-20}{57}\)
12. \(\frac{15}{13}-\frac{20}{7}\\=\frac{105}{91}-\frac{260}{91}\\=\frac{105-260}{91}\\=\frac{-155}{91}\)