Breuken aftrekken (reeks 2)

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Trek de breuken af

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

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Trek de breuken af

Verbetersleutel

1. \(\frac{19}{3}-\frac{4}{19}\\=\frac{361}{57}-\frac{12}{57}\\=\frac{361-12}{57}\\=\frac{349}{57}\)
2. \(\frac{1}{20}-\frac{7}{13}\\=\frac{13}{260}-\frac{140}{260}\\=\frac{13-140}{260}\\=\frac{-127}{260}\)
3. \(\frac{17}{12}-\frac{17}{3}\\=\frac{17-17}{12}\\=\frac{0}{12}\\=\frac{0}{1}\)
4. \(\frac{6}{5}-\frac{14}{3}\\=\frac{18}{15}-\frac{70}{15}\\=\frac{18-70}{15}\\=\frac{-52}{15}\)
5. \(\frac{-10}{7}-\frac{15}{16}\\=\frac{-160}{112}-\frac{105}{112}\\=\frac{-160-105}{112}\\=\frac{-265}{112}\)
6. \(\frac{2}{13}-\frac{20}{7}\\=\frac{14}{91}-\frac{260}{91}\\=\frac{14-260}{91}\\=\frac{-246}{91}\)
7. \(\frac{-5}{13}-\frac{20}{7}\\=\frac{-35}{91}-\frac{260}{91}\\=\frac{-35-260}{91}\\=\frac{-295}{91}\)
8. \(\frac{-15}{16}-\frac{13}{4}\\=\frac{-15-13}{16}\\=\frac{-28}{16}\\=\frac{-7}{4}\)
9. \(\frac{15}{13}-\frac{10}{7}\\=\frac{105}{91}-\frac{130}{91}\\=\frac{105-130}{91}\\=\frac{-25}{91}\)
10. \(\frac{18}{5}-\frac{2}{19}\\=\frac{342}{95}-\frac{10}{95}\\=\frac{342-10}{95}\\=\frac{332}{95}\)
11. \(\frac{6}{17}-\frac{18}{19}\\=\frac{114}{323}-\frac{306}{323}\\=\frac{114-306}{323}\\=\frac{-192}{323}\)
12. \(\frac{-7}{18}-\frac{18}{11}\\=\frac{-77}{198}-\frac{324}{198}\\=\frac{-77-324}{198}\\=\frac{-401}{198}\)