Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{19}{6}-\frac{10}{17}\\=\frac{323}{102}-\frac{60}{102}\\=\frac{323-60}{102}\\=\frac{263}{102}\)
2. \(\frac{-20}{17}-\frac{15}{19}\\=\frac{-380}{323}-\frac{255}{323}\\=\frac{-380-255}{323}\\=\frac{-635}{323}\)
3. \(\frac{9}{19}-\frac{14}{13}\\=\frac{117}{247}-\frac{266}{247}\\=\frac{117-266}{247}\\=\frac{-149}{247}\)
4. \(\frac{7}{19}-\frac{7}{3}\\=\frac{21}{57}-\frac{133}{57}\\=\frac{21-133}{57}\\=\frac{-112}{57}\)
5. \(\frac{-1}{19}-\frac{15}{8}\\=\frac{-8}{152}-\frac{285}{152}\\=\frac{-8-285}{152}\\=\frac{-293}{152}\)
6. \(\frac{13}{5}-\frac{20}{11}\\=\frac{143}{55}-\frac{100}{55}\\=\frac{143-100}{55}\\=\frac{43}{55}\)
7. \(\frac{-17}{8}-\frac{13}{5}\\=\frac{-85}{40}-\frac{104}{40}\\=\frac{-85-104}{40}\\=\frac{-189}{40}\)
8. \(\frac{4}{7}-\frac{19}{13}\\=\frac{52}{91}-\frac{133}{91}\\=\frac{52-133}{91}\\=\frac{-81}{91}\)
9. \(\frac{8}{11}-\frac{10}{13}\\=\frac{104}{143}-\frac{110}{143}\\=\frac{104-110}{143}\\=\frac{-6}{143}\)
10. \(\frac{12}{7}-\frac{13}{12}\\=\frac{144}{84}-\frac{91}{84}\\=\frac{144-91}{84}\\=\frac{53}{84}\)
11. \(\frac{-2}{11}-\frac{11}{2}\\=\frac{-4}{22}-\frac{121}{22}\\=\frac{-4-121}{22}\\=\frac{-125}{22}\)
12. \(\frac{-4}{9}-\frac{14}{5}\\=\frac{-20}{45}-\frac{126}{45}\\=\frac{-20-126}{45}\\=\frac{-146}{45}\)