Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-20}{19}-\frac{4}{11}\\=\frac{-220}{209}-\frac{76}{209}\\=\frac{-220-76}{209}\\=\frac{-296}{209}\)
2. \(\frac{-6}{17}-\frac{16}{3}\\=\frac{-18}{51}-\frac{272}{51}\\=\frac{-18-272}{51}\\=\frac{-290}{51}\)
3. \(\frac{-16}{15}-\frac{6}{11}\\=\frac{-176}{165}-\frac{90}{165}\\=\frac{-176-90}{165}\\=\frac{-266}{165}\)
4. \(\frac{-11}{3}-\frac{3}{2}\\=\frac{-22}{6}-\frac{9}{6}\\=\frac{-22-9}{6}\\=\frac{-31}{6}\)
5. \(\frac{13}{4}-\frac{7}{12}\\=\frac{39}{12}-\frac{7}{12}\\=\frac{39-7}{12}\\=\frac{32}{12}\\=\frac{8}{3}\)
6. \(\frac{-15}{13}-\frac{8}{5}\\=\frac{-75}{65}-\frac{104}{65}\\=\frac{-75-104}{65}\\=\frac{-179}{65}\)
7. \(\frac{7}{2}-\frac{6}{5}\\=\frac{35}{10}-\frac{12}{10}\\=\frac{35-12}{10}\\=\frac{23}{10}\)
8. \(\frac{-15}{16}-\frac{16}{7}\\=\frac{-105}{112}-\frac{256}{112}\\=\frac{-105-256}{112}\\=\frac{-361}{112}\)
9. \(\frac{-3}{19}-\frac{2}{3}\\=\frac{-9}{57}-\frac{38}{57}\\=\frac{-9-38}{57}\\=\frac{-47}{57}\)
10. \(\frac{-9}{20}-\frac{18}{11}\\=\frac{-99}{220}-\frac{360}{220}\\=\frac{-99-360}{220}\\=\frac{-459}{220}\)
11. \(\frac{16}{13}-\frac{18}{19}\\=\frac{304}{247}-\frac{234}{247}\\=\frac{304-234}{247}\\=\frac{70}{247}\)
12. \(\frac{1}{19}-\frac{7}{2}\\=\frac{2}{38}-\frac{133}{38}\\=\frac{2-133}{38}\\=\frac{-131}{38}\)