Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{19}{3}-\frac{17}{8}\\=\frac{152}{24}-\frac{51}{24}\\=\frac{152-51}{24}\\=\frac{101}{24}\)
2. \(\frac{15}{11}-\frac{7}{2}\\=\frac{30}{22}-\frac{77}{22}\\=\frac{30-77}{22}\\=\frac{-47}{22}\)
3. \(\frac{-10}{7}-\frac{20}{3}\\=\frac{-30}{21}-\frac{140}{21}\\=\frac{-30-140}{21}\\=\frac{-170}{21}\)
4. \(\frac{20}{11}-\frac{11}{3}\\=\frac{60}{33}-\frac{121}{33}\\=\frac{60-121}{33}\\=\frac{-61}{33}\)
5. \(\frac{-14}{15}-\frac{16}{5}\\=\frac{-14-16}{15}\\=\frac{-30}{15}\\=\frac{-2}{1}\)
6. \(\frac{-17}{18}-\frac{5}{3}\\=\frac{-17-5}{18}\\=\frac{-22}{18}\\=\frac{-11}{9}\)
7. \(\frac{-4}{17}-\frac{13}{19}\\=\frac{-76}{323}-\frac{221}{323}\\=\frac{-76-221}{323}\\=\frac{-297}{323}\)
8. \(\frac{-19}{16}-\frac{7}{15}\\=\frac{-285}{240}-\frac{112}{240}\\=\frac{-285-112}{240}\\=\frac{-397}{240}\)
9. \(\frac{-6}{7}-\frac{19}{18}\\=\frac{-108}{126}-\frac{133}{126}\\=\frac{-108-133}{126}\\=\frac{-241}{126}\)
10. \(\frac{-8}{19}-\frac{5}{4}\\=\frac{-32}{76}-\frac{95}{76}\\=\frac{-32-95}{76}\\=\frac{-127}{76}\)
11. \(\frac{3}{13}-\frac{6}{11}\\=\frac{33}{143}-\frac{78}{143}\\=\frac{33-78}{143}\\=\frac{-45}{143}\)
12. \(\frac{7}{5}-\frac{10}{13}\\=\frac{91}{65}-\frac{50}{65}\\=\frac{91-50}{65}\\=\frac{41}{65}\)