Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{9}{8}-\frac{13}{10}\\=\frac{45}{40}-\frac{52}{40}\\=\frac{45-52}{40}\\=\frac{-7}{40}\)
2. \(\frac{20}{17}-\frac{12}{13}\\=\frac{260}{221}-\frac{204}{221}\\=\frac{260-204}{221}\\=\frac{56}{221}\)
3. \(\frac{3}{7}-\frac{4}{15}\\=\frac{45}{105}-\frac{28}{105}\\=\frac{45-28}{105}\\=\frac{17}{105}\)
4. \(\frac{-9}{19}-\frac{5}{11}\\=\frac{-99}{209}-\frac{95}{209}\\=\frac{-99-95}{209}\\=\frac{-194}{209}\)
5. \(\frac{4}{3}-\frac{17}{15}\\=\frac{20}{15}-\frac{17}{15}\\=\frac{20-17}{15}\\=\frac{3}{15}\\=\frac{1}{5}\)
6. \(\frac{-6}{13}-\frac{20}{17}\\=\frac{-102}{221}-\frac{260}{221}\\=\frac{-102-260}{221}\\=\frac{-362}{221}\)
7. \(\frac{7}{17}-\frac{13}{15}\\=\frac{105}{255}-\frac{221}{255}\\=\frac{105-221}{255}\\=\frac{-116}{255}\)
8. \(\frac{3}{13}-\frac{11}{2}\\=\frac{6}{26}-\frac{143}{26}\\=\frac{6-143}{26}\\=\frac{-137}{26}\)
9. \(\frac{19}{5}-\frac{19}{2}\\=\frac{38}{10}-\frac{95}{10}\\=\frac{38-95}{10}\\=\frac{-57}{10}\)
10. \(\frac{-11}{6}-\frac{7}{15}\\=\frac{-55}{30}-\frac{14}{30}\\=\frac{-55-14}{30}\\=\frac{-69}{30}\\=\frac{-23}{10}\)
11. \(\frac{-10}{7}-\frac{7}{2}\\=\frac{-20}{14}-\frac{49}{14}\\=\frac{-20-49}{14}\\=\frac{-69}{14}\)
12. \(\frac{11}{6}-\frac{12}{19}\\=\frac{209}{114}-\frac{72}{114}\\=\frac{209-72}{114}\\=\frac{137}{114}\)