Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{-20}{3}-\frac{12}{13}\\=\frac{-260}{39}-\frac{36}{39}\\=\frac{-260-36}{39}\\=\frac{-296}{39}\)
2. \(\frac{-7}{8}-\frac{18}{11}\\=\frac{-77}{88}-\frac{144}{88}\\=\frac{-77-144}{88}\\=\frac{-221}{88}\)
3. \(\frac{9}{16}-\frac{10}{9}\\=\frac{81}{144}-\frac{160}{144}\\=\frac{81-160}{144}\\=\frac{-79}{144}\)
4. \(\frac{-9}{14}-\frac{20}{9}\\=\frac{-81}{126}-\frac{280}{126}\\=\frac{-81-280}{126}\\=\frac{-361}{126}\)
5. \(\frac{-1}{16}-\frac{19}{2}\\=\frac{-1-19}{16}\\=\frac{-20}{16}\\=\frac{-5}{4}\)
6. \(\frac{5}{16}-\frac{7}{4}\\=\frac{5-7}{16}\\=\frac{-2}{16}\\=\frac{-1}{8}\)
7. \(\frac{12}{19}-\frac{15}{4}\\=\frac{48}{76}-\frac{285}{76}\\=\frac{48-285}{76}\\=\frac{-237}{76}\)
8. \(\frac{-15}{8}-\frac{14}{3}\\=\frac{-45}{24}-\frac{112}{24}\\=\frac{-45-112}{24}\\=\frac{-157}{24}\)
9. \(\frac{20}{7}-\frac{16}{15}\\=\frac{300}{105}-\frac{112}{105}\\=\frac{300-112}{105}\\=\frac{188}{105}\)
10. \(\frac{-10}{7}-\frac{13}{2}\\=\frac{-20}{14}-\frac{91}{14}\\=\frac{-20-91}{14}\\=\frac{-111}{14}\)
11. \(\frac{15}{4}-\frac{15}{17}\\=\frac{255}{68}-\frac{60}{68}\\=\frac{255-60}{68}\\=\frac{195}{68}\)
12. \(\frac{18}{5}-\frac{19}{2}\\=\frac{36}{10}-\frac{95}{10}\\=\frac{36-95}{10}\\=\frac{-59}{10}\)