Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{1}{7}-\frac{3}{7}\\=\frac{1-3}{7}\\=\frac{-2}{7}\)
2. \(\frac{-10}{13}-\frac{2}{11}\\=\frac{-110}{143}-\frac{26}{143}\\=\frac{-110-26}{143}\\=\frac{-136}{143}\)
3. \(\frac{-3}{7}-\frac{16}{9}\\=\frac{-27}{63}-\frac{112}{63}\\=\frac{-27-112}{63}\\=\frac{-139}{63}\)
4. \(\frac{-20}{17}-\frac{16}{19}\\=\frac{-380}{323}-\frac{272}{323}\\=\frac{-380-272}{323}\\=\frac{-652}{323}\)
5. \(\frac{-13}{8}-\frac{5}{12}\\=\frac{-39}{24}-\frac{10}{24}\\=\frac{-39-10}{24}\\=\frac{-49}{24}\)
6. \(\frac{20}{17}-\frac{3}{7}\\=\frac{140}{119}-\frac{51}{119}\\=\frac{140-51}{119}\\=\frac{89}{119}\)
7. \(\frac{-13}{10}-\frac{16}{17}\\=\frac{-221}{170}-\frac{160}{170}\\=\frac{-221-160}{170}\\=\frac{-381}{170}\)
8. \(\frac{-8}{9}-\frac{16}{13}\\=\frac{-104}{117}-\frac{144}{117}\\=\frac{-104-144}{117}\\=\frac{-248}{117}\)
9. \(\frac{-10}{3}-\frac{13}{16}\\=\frac{-160}{48}-\frac{39}{48}\\=\frac{-160-39}{48}\\=\frac{-199}{48}\)
10. \(\frac{5}{3}-\frac{10}{11}\\=\frac{55}{33}-\frac{30}{33}\\=\frac{55-30}{33}\\=\frac{25}{33}\)
11. \(\frac{-1}{6}-\frac{7}{18}\\=\frac{-3}{18}-\frac{7}{18}\\=\frac{-3-7}{18}\\=\frac{-10}{18}\\=\frac{-5}{9}\)
12. \(\frac{-16}{13}-\frac{3}{11}\\=\frac{-176}{143}-\frac{39}{143}\\=\frac{-176-39}{143}\\=\frac{-215}{143}\)