Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{8}{15}-\frac{2}{13}\\=\frac{104}{195}-\frac{30}{195}\\=\frac{104-30}{195}\\=\frac{74}{195}\)
2. \(\frac{16}{13}-\frac{8}{7}\\=\frac{112}{91}-\frac{104}{91}\\=\frac{112-104}{91}\\=\frac{8}{91}\)
3. \(\frac{17}{6}-\frac{4}{5}\\=\frac{85}{30}-\frac{24}{30}\\=\frac{85-24}{30}\\=\frac{61}{30}\)
4. \(\frac{-8}{17}-\frac{18}{5}\\=\frac{-40}{85}-\frac{306}{85}\\=\frac{-40-306}{85}\\=\frac{-346}{85}\)
5. \(\frac{16}{13}-\frac{8}{11}\\=\frac{176}{143}-\frac{104}{143}\\=\frac{176-104}{143}\\=\frac{72}{143}\)
6. \(\frac{12}{11}-\frac{5}{16}\\=\frac{192}{176}-\frac{55}{176}\\=\frac{192-55}{176}\\=\frac{137}{176}\)
7. \(\frac{8}{7}-\frac{18}{19}\\=\frac{152}{133}-\frac{126}{133}\\=\frac{152-126}{133}\\=\frac{26}{133}\)
8. \(\frac{-18}{19}-\frac{2}{9}\\=\frac{-162}{171}-\frac{38}{171}\\=\frac{-162-38}{171}\\=\frac{-200}{171}\)
9. \(\frac{-20}{9}-\frac{2}{7}\\=\frac{-140}{63}-\frac{18}{63}\\=\frac{-140-18}{63}\\=\frac{-158}{63}\)
10. \(\frac{-8}{17}-\frac{19}{16}\\=\frac{-128}{272}-\frac{323}{272}\\=\frac{-128-323}{272}\\=\frac{-451}{272}\)
11. \(\frac{-2}{17}-\frac{15}{4}\\=\frac{-8}{68}-\frac{255}{68}\\=\frac{-8-255}{68}\\=\frac{-263}{68}\)
12. \(\frac{14}{17}-\frac{4}{7}\\=\frac{98}{119}-\frac{68}{119}\\=\frac{98-68}{119}\\=\frac{30}{119}\)