Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-5}{17}-\frac{7}{15}\\=\frac{-75}{255}-\frac{119}{255}\\=\frac{-75-119}{255}\\=\frac{-194}{255}\)
2. \(\frac{2}{17}-\frac{19}{16}\\=\frac{32}{272}-\frac{323}{272}\\=\frac{32-323}{272}\\=\frac{-291}{272}\)
3. \(\frac{6}{7}-\frac{20}{19}\\=\frac{114}{133}-\frac{140}{133}\\=\frac{114-140}{133}\\=\frac{-26}{133}\)
4. \(\frac{9}{2}-\frac{8}{9}\\=\frac{81}{18}-\frac{16}{18}\\=\frac{81-16}{18}\\=\frac{65}{18}\)
5. \(\frac{-13}{17}-\frac{12}{17}\\=\frac{-13-12}{17}\\=\frac{-25}{17}\)
6. \(\frac{-16}{17}-\frac{8}{9}\\=\frac{-144}{153}-\frac{136}{153}\\=\frac{-144-136}{153}\\=\frac{-280}{153}\)
7. \(\frac{17}{15}-\frac{15}{11}\\=\frac{187}{165}-\frac{225}{165}\\=\frac{187-225}{165}\\=\frac{-38}{165}\)
8. \(\frac{15}{4}-\frac{19}{13}\\=\frac{195}{52}-\frac{76}{52}\\=\frac{195-76}{52}\\=\frac{119}{52}\)
9. \(\frac{6}{17}-\frac{19}{15}\\=\frac{90}{255}-\frac{323}{255}\\=\frac{90-323}{255}\\=\frac{-233}{255}\)
10. \(\frac{-5}{3}-\frac{12}{13}\\=\frac{-65}{39}-\frac{36}{39}\\=\frac{-65-36}{39}\\=\frac{-101}{39}\)
11. \(\frac{-15}{13}-\frac{9}{11}\\=\frac{-165}{143}-\frac{117}{143}\\=\frac{-165-117}{143}\\=\frac{-282}{143}\)
12. \(\frac{18}{7}-\frac{4}{15}\\=\frac{270}{105}-\frac{28}{105}\\=\frac{270-28}{105}\\=\frac{242}{105}\)