Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-14}{3}-\frac{10}{7}\\=\frac{-98}{21}-\frac{30}{21}\\=\frac{-98-30}{21}\\=\frac{-128}{21}\)
2. \(\frac{8}{3}-\frac{16}{9}\\=\frac{24}{9}-\frac{16}{9}\\=\frac{24-16}{9}\\=\frac{8}{9}\)
3. \(\frac{-4}{17}-\frac{4}{7}\\=\frac{-28}{119}-\frac{68}{119}\\=\frac{-28-68}{119}\\=\frac{-96}{119}\)
4. \(\frac{14}{3}-\frac{4}{5}\\=\frac{70}{15}-\frac{12}{15}\\=\frac{70-12}{15}\\=\frac{58}{15}\)
5. \(\frac{-17}{4}-\frac{4}{7}\\=\frac{-119}{28}-\frac{16}{28}\\=\frac{-119-16}{28}\\=\frac{-135}{28}\)
6. \(\frac{-15}{17}-\frac{9}{13}\\=\frac{-195}{221}-\frac{153}{221}\\=\frac{-195-153}{221}\\=\frac{-348}{221}\)
7. \(\frac{-18}{19}-\frac{16}{17}\\=\frac{-306}{323}-\frac{304}{323}\\=\frac{-306-304}{323}\\=\frac{-610}{323}\)
8. \(\frac{20}{7}-\frac{3}{5}\\=\frac{100}{35}-\frac{21}{35}\\=\frac{100-21}{35}\\=\frac{79}{35}\)
9. \(\frac{-2}{9}-\frac{10}{7}\\=\frac{-14}{63}-\frac{90}{63}\\=\frac{-14-90}{63}\\=\frac{-104}{63}\)
10. \(\frac{-11}{16}-\frac{8}{15}\\=\frac{-165}{240}-\frac{128}{240}\\=\frac{-165-128}{240}\\=\frac{-293}{240}\)
11. \(\frac{-7}{15}-\frac{15}{4}\\=\frac{-28}{60}-\frac{225}{60}\\=\frac{-28-225}{60}\\=\frac{-253}{60}\)
12. \(\frac{-2}{9}-\frac{17}{8}\\=\frac{-16}{72}-\frac{153}{72}\\=\frac{-16-153}{72}\\=\frac{-169}{72}\)