Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-15}{8}-\frac{14}{9}\\=\frac{-135}{72}-\frac{112}{72}\\=\frac{-135-112}{72}\\=\frac{-247}{72}\)
2. \(\frac{-14}{19}-\frac{16}{11}\\=\frac{-154}{209}-\frac{304}{209}\\=\frac{-154-304}{209}\\=\frac{-458}{209}\)
3. \(\frac{3}{2}-\frac{7}{2}\\=\frac{3-7}{2}\\=\frac{-4}{2}\\=\frac{-2}{1}\)
4. \(\frac{-11}{3}-\frac{17}{11}\\=\frac{-121}{33}-\frac{51}{33}\\=\frac{-121-51}{33}\\=\frac{-172}{33}\)
5. \(\frac{-20}{3}-\frac{7}{19}\\=\frac{-380}{57}-\frac{21}{57}\\=\frac{-380-21}{57}\\=\frac{-401}{57}\)
6. \(\frac{8}{9}-\frac{10}{9}\\=\frac{8-10}{9}\\=\frac{-2}{9}\)
7. \(\frac{-15}{13}-\frac{5}{7}\\=\frac{-105}{91}-\frac{65}{91}\\=\frac{-105-65}{91}\\=\frac{-170}{91}\)
8. \(\frac{13}{14}-\frac{9}{10}\\=\frac{65}{70}-\frac{63}{70}\\=\frac{65-63}{70}\\=\frac{2}{70}\\=\frac{1}{35}\)
9. \(\frac{-1}{16}-\frac{12}{5}\\=\frac{-5}{80}-\frac{192}{80}\\=\frac{-5-192}{80}\\=\frac{-197}{80}\)
10. \(\frac{-8}{3}-\frac{13}{14}\\=\frac{-112}{42}-\frac{39}{42}\\=\frac{-112-39}{42}\\=\frac{-151}{42}\)
11. \(\frac{5}{17}-\frac{8}{15}\\=\frac{75}{255}-\frac{136}{255}\\=\frac{75-136}{255}\\=\frac{-61}{255}\)
12. \(\frac{17}{14}-\frac{15}{19}\\=\frac{323}{266}-\frac{210}{266}\\=\frac{323-210}{266}\\=\frac{113}{266}\)