Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-12}{5}-\frac{2}{15}\\=\frac{-36}{15}-\frac{2}{15}\\=\frac{-36-2}{15}\\=\frac{-38}{15}\)
2. \(\frac{8}{9}-\frac{11}{3}\\=\frac{8-11}{9}\\=\frac{-3}{9}\\=\frac{-1}{3}\)
3. \(\frac{-5}{11}-\frac{6}{7}\\=\frac{-35}{77}-\frac{66}{77}\\=\frac{-35-66}{77}\\=\frac{-101}{77}\)
4. \(\frac{-3}{19}-\frac{12}{17}\\=\frac{-51}{323}-\frac{228}{323}\\=\frac{-51-228}{323}\\=\frac{-279}{323}\)
5. \(\frac{-4}{3}-\frac{17}{13}\\=\frac{-52}{39}-\frac{51}{39}\\=\frac{-52-51}{39}\\=\frac{-103}{39}\)
6. \(\frac{8}{17}-\frac{15}{7}\\=\frac{56}{119}-\frac{255}{119}\\=\frac{56-255}{119}\\=\frac{-199}{119}\)
7. \(\frac{-4}{5}-\frac{13}{12}\\=\frac{-48}{60}-\frac{65}{60}\\=\frac{-48-65}{60}\\=\frac{-113}{60}\)
8. \(\frac{3}{19}-\frac{15}{14}\\=\frac{42}{266}-\frac{285}{266}\\=\frac{42-285}{266}\\=\frac{-243}{266}\)
9. \(\frac{-19}{6}-\frac{7}{18}\\=\frac{-57}{18}-\frac{7}{18}\\=\frac{-57-7}{18}\\=\frac{-64}{18}\\=\frac{-32}{9}\)
10. \(\frac{-2}{13}-\frac{11}{20}\\=\frac{-40}{260}-\frac{143}{260}\\=\frac{-40-143}{260}\\=\frac{-183}{260}\)
11. \(\frac{-16}{5}-\frac{20}{7}\\=\frac{-112}{35}-\frac{100}{35}\\=\frac{-112-100}{35}\\=\frac{-212}{35}\)
12. \(\frac{1}{12}-\frac{3}{14}\\=\frac{7}{84}-\frac{18}{84}\\=\frac{7-18}{84}\\=\frac{-11}{84}\)