Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{19}{7}-\frac{19}{15}\\=\frac{285}{105}-\frac{133}{105}\\=\frac{285-133}{105}\\=\frac{152}{105}\)
2. \(\frac{12}{5}-\frac{11}{6}\\=\frac{72}{30}-\frac{55}{30}\\=\frac{72-55}{30}\\=\frac{17}{30}\)
3. \(\frac{18}{5}-\frac{10}{7}\\=\frac{126}{35}-\frac{50}{35}\\=\frac{126-50}{35}\\=\frac{76}{35}\)
4. \(\frac{-20}{3}-\frac{12}{17}\\=\frac{-340}{51}-\frac{36}{51}\\=\frac{-340-36}{51}\\=\frac{-376}{51}\)
5. \(\frac{-2}{19}-\frac{20}{3}\\=\frac{-6}{57}-\frac{380}{57}\\=\frac{-6-380}{57}\\=\frac{-386}{57}\)
6. \(\frac{-7}{11}-\frac{2}{11}\\=\frac{-7-2}{11}\\=\frac{-9}{11}\)
7. \(\frac{18}{13}-\frac{8}{5}\\=\frac{90}{65}-\frac{104}{65}\\=\frac{90-104}{65}\\=\frac{-14}{65}\)
8. \(\frac{5}{19}-\frac{2}{3}\\=\frac{15}{57}-\frac{38}{57}\\=\frac{15-38}{57}\\=\frac{-23}{57}\)
9. \(\frac{14}{9}-\frac{8}{9}\\=\frac{14-8}{9}\\=\frac{6}{9}\\=\frac{2}{3}\)
10. \(\frac{-7}{11}-\frac{6}{17}\\=\frac{-119}{187}-\frac{66}{187}\\=\frac{-119-66}{187}\\=\frac{-185}{187}\)
11. \(\frac{-18}{19}-\frac{6}{17}\\=\frac{-306}{323}-\frac{114}{323}\\=\frac{-306-114}{323}\\=\frac{-420}{323}\)
12. \(\frac{-18}{11}-\frac{14}{17}\\=\frac{-306}{187}-\frac{154}{187}\\=\frac{-306-154}{187}\\=\frac{-460}{187}\)