Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{20}{7}-\frac{17}{15}\\=\frac{300}{105}-\frac{119}{105}\\=\frac{300-119}{105}\\=\frac{181}{105}\)
2. \(\frac{-4}{5}-\frac{11}{18}\\=\frac{-72}{90}-\frac{55}{90}\\=\frac{-72-55}{90}\\=\frac{-127}{90}\)
3. \(\frac{-7}{4}-\frac{17}{11}\\=\frac{-77}{44}-\frac{68}{44}\\=\frac{-77-68}{44}\\=\frac{-145}{44}\)
4. \(\frac{6}{11}-\frac{14}{17}\\=\frac{102}{187}-\frac{154}{187}\\=\frac{102-154}{187}\\=\frac{-52}{187}\)
5. \(\frac{18}{11}-\frac{4}{3}\\=\frac{54}{33}-\frac{44}{33}\\=\frac{54-44}{33}\\=\frac{10}{33}\)
6. \(\frac{16}{11}-\frac{4}{9}\\=\frac{144}{99}-\frac{44}{99}\\=\frac{144-44}{99}\\=\frac{100}{99}\)
7. \(\frac{5}{16}-\frac{20}{11}\\=\frac{55}{176}-\frac{320}{176}\\=\frac{55-320}{176}\\=\frac{-265}{176}\)
8. \(\frac{-13}{7}-\frac{4}{3}\\=\frac{-39}{21}-\frac{28}{21}\\=\frac{-39-28}{21}\\=\frac{-67}{21}\)
9. \(\frac{-10}{11}-\frac{8}{7}\\=\frac{-70}{77}-\frac{88}{77}\\=\frac{-70-88}{77}\\=\frac{-158}{77}\)
10. \(\frac{4}{17}-\frac{5}{17}\\=\frac{4-5}{17}\\=\frac{-1}{17}\)
11. \(\frac{-3}{19}-\frac{5}{2}\\=\frac{-6}{38}-\frac{95}{38}\\=\frac{-6-95}{38}\\=\frac{-101}{38}\)
12. \(\frac{14}{5}-\frac{16}{9}\\=\frac{126}{45}-\frac{80}{45}\\=\frac{126-80}{45}\\=\frac{46}{45}\)