Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-13}{11}-\frac{11}{14}\\=\frac{-182}{154}-\frac{121}{154}\\=\frac{-182-121}{154}\\=\frac{-303}{154}\)
2. \(\frac{14}{9}-\frac{17}{3}\\=\frac{14-17}{9}\\=\frac{-3}{9}\\=\frac{-1}{3}\)
3. \(\frac{8}{11}-\frac{15}{14}\\=\frac{112}{154}-\frac{165}{154}\\=\frac{112-165}{154}\\=\frac{-53}{154}\)
4. \(\frac{-7}{15}-\frac{10}{13}\\=\frac{-91}{195}-\frac{150}{195}\\=\frac{-91-150}{195}\\=\frac{-241}{195}\)
5. \(\frac{-5}{3}-\frac{6}{5}\\=\frac{-25}{15}-\frac{18}{15}\\=\frac{-25-18}{15}\\=\frac{-43}{15}\)
6. \(\frac{20}{11}-\frac{2}{11}\\=\frac{20-2}{11}\\=\frac{18}{11}\)
7. \(\frac{-3}{13}-\frac{12}{5}\\=\frac{-15}{65}-\frac{156}{65}\\=\frac{-15-156}{65}\\=\frac{-171}{65}\)
8. \(\frac{-6}{7}-\frac{15}{2}\\=\frac{-12}{14}-\frac{105}{14}\\=\frac{-12-105}{14}\\=\frac{-117}{14}\)
9. \(\frac{11}{3}-\frac{19}{4}\\=\frac{44}{12}-\frac{57}{12}\\=\frac{44-57}{12}\\=\frac{-13}{12}\)
10. \(\frac{15}{13}-\frac{14}{11}\\=\frac{165}{143}-\frac{182}{143}\\=\frac{165-182}{143}\\=\frac{-17}{143}\)
11. \(\frac{12}{13}-\frac{7}{12}\\=\frac{144}{156}-\frac{91}{156}\\=\frac{144-91}{156}\\=\frac{53}{156}\)
12. \(\frac{-5}{16}-\frac{14}{15}\\=\frac{-75}{240}-\frac{224}{240}\\=\frac{-75-224}{240}\\=\frac{-299}{240}\)