Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-1}{4}-\frac{5}{14}\\=\frac{-7}{28}-\frac{10}{28}\\=\frac{-7-10}{28}\\=\frac{-17}{28}\)
2. \(\frac{10}{3}-\frac{18}{5}\\=\frac{50}{15}-\frac{54}{15}\\=\frac{50-54}{15}\\=\frac{-4}{15}\)
3. \(\frac{-1}{15}-\frac{12}{7}\\=\frac{-7}{105}-\frac{180}{105}\\=\frac{-7-180}{105}\\=\frac{-187}{105}\)
4. \(\frac{-14}{15}-\frac{20}{13}\\=\frac{-182}{195}-\frac{300}{195}\\=\frac{-182-300}{195}\\=\frac{-482}{195}\)
5. \(\frac{-1}{20}-\frac{9}{13}\\=\frac{-13}{260}-\frac{180}{260}\\=\frac{-13-180}{260}\\=\frac{-193}{260}\)
6. \(\frac{8}{5}-\frac{15}{2}\\=\frac{16}{10}-\frac{75}{10}\\=\frac{16-75}{10}\\=\frac{-59}{10}\)
7. \(\frac{6}{5}-\frac{8}{11}\\=\frac{66}{55}-\frac{40}{55}\\=\frac{66-40}{55}\\=\frac{26}{55}\)
8. \(\frac{17}{18}-\frac{15}{16}\\=\frac{136}{144}-\frac{135}{144}\\=\frac{136-135}{144}\\=\frac{1}{144}\)
9. \(\frac{11}{9}-\frac{8}{9}\\=\frac{11-8}{9}\\=\frac{3}{9}\\=\frac{1}{3}\)
10. \(\frac{-11}{3}-\frac{7}{12}\\=\frac{-44}{12}-\frac{7}{12}\\=\frac{-44-7}{12}\\=\frac{-51}{12}\\=\frac{-17}{4}\)
11. \(\frac{19}{10}-\frac{17}{18}\\=\frac{171}{90}-\frac{85}{90}\\=\frac{171-85}{90}\\=\frac{86}{90}\\=\frac{43}{45}\)
12. \(\frac{11}{14}-\frac{7}{6}\\=\frac{33}{42}-\frac{49}{42}\\=\frac{33-49}{42}\\=\frac{-16}{42}\\=\frac{-8}{21}\)