Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{17}{3}-\frac{2}{7}\\=\frac{119}{21}-\frac{6}{21}\\=\frac{119-6}{21}\\=\frac{113}{21}\)
2. \(\frac{11}{17}-\frac{10}{3}\\=\frac{33}{51}-\frac{170}{51}\\=\frac{33-170}{51}\\=\frac{-137}{51}\)
3. \(\frac{13}{14}-\frac{9}{10}\\=\frac{65}{70}-\frac{63}{70}\\=\frac{65-63}{70}\\=\frac{2}{70}\\=\frac{1}{35}\)
4. \(\frac{7}{11}-\frac{11}{9}\\=\frac{63}{99}-\frac{121}{99}\\=\frac{63-121}{99}\\=\frac{-58}{99}\)
5. \(\frac{-19}{10}-\frac{13}{3}\\=\frac{-57}{30}-\frac{130}{30}\\=\frac{-57-130}{30}\\=\frac{-187}{30}\)
6. \(\frac{-16}{7}-\frac{6}{13}\\=\frac{-208}{91}-\frac{42}{91}\\=\frac{-208-42}{91}\\=\frac{-250}{91}\)
7. \(\frac{-12}{13}-\frac{3}{16}\\=\frac{-192}{208}-\frac{39}{208}\\=\frac{-192-39}{208}\\=\frac{-231}{208}\)
8. \(\frac{16}{5}-\frac{2}{19}\\=\frac{304}{95}-\frac{10}{95}\\=\frac{304-10}{95}\\=\frac{294}{95}\)
9. \(\frac{16}{19}-\frac{9}{7}\\=\frac{112}{133}-\frac{171}{133}\\=\frac{112-171}{133}\\=\frac{-59}{133}\)
10. \(\frac{-1}{6}-\frac{9}{13}\\=\frac{-13}{78}-\frac{54}{78}\\=\frac{-13-54}{78}\\=\frac{-67}{78}\)
11. \(\frac{-14}{19}-\frac{10}{17}\\=\frac{-238}{323}-\frac{190}{323}\\=\frac{-238-190}{323}\\=\frac{-428}{323}\)
12. \(\frac{-10}{17}-\frac{19}{4}\\=\frac{-40}{68}-\frac{323}{68}\\=\frac{-40-323}{68}\\=\frac{-363}{68}\)