Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{15}{7}-\frac{15}{2}\\=\frac{30}{14}-\frac{105}{14}\\=\frac{30-105}{14}\\=\frac{-75}{14}\)
2. \(\frac{-1}{16}-\frac{4}{19}\\=\frac{-19}{304}-\frac{64}{304}\\=\frac{-19-64}{304}\\=\frac{-83}{304}\)
3. \(\frac{-20}{13}-\frac{20}{3}\\=\frac{-60}{39}-\frac{260}{39}\\=\frac{-60-260}{39}\\=\frac{-320}{39}\)
4. \(\frac{17}{2}-\frac{6}{5}\\=\frac{85}{10}-\frac{12}{10}\\=\frac{85-12}{10}\\=\frac{73}{10}\)
5. \(\frac{2}{3}-\frac{20}{19}\\=\frac{38}{57}-\frac{60}{57}\\=\frac{38-60}{57}\\=\frac{-22}{57}\)
6. \(\frac{-1}{7}-\frac{6}{13}\\=\frac{-13}{91}-\frac{42}{91}\\=\frac{-13-42}{91}\\=\frac{-55}{91}\)
7. \(\frac{15}{13}-\frac{3}{13}\\=\frac{15-3}{13}\\=\frac{12}{13}\)
8. \(\frac{2}{9}-\frac{12}{19}\\=\frac{38}{171}-\frac{108}{171}\\=\frac{38-108}{171}\\=\frac{-70}{171}\)
9. \(\frac{19}{17}-\frac{17}{6}\\=\frac{114}{102}-\frac{289}{102}\\=\frac{114-289}{102}\\=\frac{-175}{102}\)
10. \(\frac{-12}{13}-\frac{14}{3}\\=\frac{-36}{39}-\frac{182}{39}\\=\frac{-36-182}{39}\\=\frac{-218}{39}\)
11. \(\frac{5}{6}-\frac{11}{16}\\=\frac{40}{48}-\frac{33}{48}\\=\frac{40-33}{48}\\=\frac{7}{48}\)
12. \(\frac{13}{15}-\frac{16}{19}\\=\frac{247}{285}-\frac{240}{285}\\=\frac{247-240}{285}\\=\frac{7}{285}\)