Breuken aftrekken (reeks 2)

Hoofdmenu Eentje per keer  🖨

Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{1}{18}-\frac{15}{14}\\=\frac{7}{126}-\frac{135}{126}\\=\frac{7-135}{126}\\=\frac{-128}{126}\\=\frac{-64}{63}\)
2. \(\frac{18}{17}-\frac{2}{7}\\=\frac{126}{119}-\frac{34}{119}\\=\frac{126-34}{119}\\=\frac{92}{119}\)
3. \(\frac{14}{13}-\frac{6}{7}\\=\frac{98}{91}-\frac{78}{91}\\=\frac{98-78}{91}\\=\frac{20}{91}\)
4. \(\frac{3}{7}-\frac{17}{14}\\=\frac{6}{14}-\frac{17}{14}\\=\frac{6-17}{14}\\=\frac{-11}{14}\)
5. \(\frac{10}{17}-\frac{2}{19}\\=\frac{190}{323}-\frac{34}{323}\\=\frac{190-34}{323}\\=\frac{156}{323}\)
6. \(\frac{20}{3}-\frac{13}{19}\\=\frac{380}{57}-\frac{39}{57}\\=\frac{380-39}{57}\\=\frac{341}{57}\)
7. \(\frac{9}{5}-\frac{17}{19}\\=\frac{171}{95}-\frac{85}{95}\\=\frac{171-85}{95}\\=\frac{86}{95}\)
8. \(\frac{-12}{5}-\frac{4}{11}\\=\frac{-132}{55}-\frac{20}{55}\\=\frac{-132-20}{55}\\=\frac{-152}{55}\)
9. \(\frac{-16}{13}-\frac{19}{2}\\=\frac{-32}{26}-\frac{247}{26}\\=\frac{-32-247}{26}\\=\frac{-279}{26}\)
10. \(\frac{-18}{11}-\frac{11}{10}\\=\frac{-180}{110}-\frac{121}{110}\\=\frac{-180-121}{110}\\=\frac{-301}{110}\)
11. \(\frac{-2}{15}-\frac{19}{2}\\=\frac{-4}{30}-\frac{285}{30}\\=\frac{-4-285}{30}\\=\frac{-289}{30}\)
12. \(\frac{15}{17}-\frac{6}{17}\\=\frac{15-6}{17}\\=\frac{9}{17}\)