Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-20}{9}+\frac{5}{2}\\=\frac{-40}{18}+\frac{45}{18}\\=\frac{-40+45}{18}\\=\frac{5}{18}\)
2. \(\frac{12}{13}+\frac{16}{7}\\=\frac{84}{91}+\frac{208}{91}\\=\frac{84+208}{91}\\=\frac{292}{91}\)
3. \(\frac{14}{19}+\frac{19}{2}\\=\frac{28}{38}+\frac{361}{38}\\=\frac{28+361}{38}\\=\frac{389}{38}\)
4. \(\frac{7}{9}+\frac{20}{13}\\=\frac{91}{117}+\frac{180}{117}\\=\frac{91+180}{117}\\=\frac{271}{117}\)
5. \(\frac{-3}{13}+\frac{17}{5}\\=\frac{-15}{65}+\frac{221}{65}\\=\frac{-15+221}{65}\\=\frac{206}{65}\)
6. \(\frac{2}{9}+\frac{17}{18}\\=\frac{4}{18}+\frac{17}{18}\\=\frac{4+17}{18}\\=\frac{21}{18}\\=\frac{7}{6}\)
7. \(\frac{-15}{4}+\frac{9}{19}\\=\frac{-285}{76}+\frac{36}{76}\\=\frac{-285+36}{76}\\=\frac{-249}{76}\\=\frac{249}{-76}\)
8. \(\frac{-3}{16}+\frac{9}{4}\\=\frac{-3+9}{16}\\=\frac{6}{16}\\=\frac{3}{8}\)
9. \(\frac{-3}{4}+\frac{14}{13}\\=\frac{-39}{52}+\frac{56}{52}\\=\frac{-39+56}{52}\\=\frac{17}{52}\)
10. \(\frac{-19}{4}+\frac{10}{19}\\=\frac{-361}{76}+\frac{40}{76}\\=\frac{-361+40}{76}\\=\frac{-321}{76}\\=\frac{321}{-76}\)
11. \(\frac{12}{7}+\frac{11}{2}\\=\frac{24}{14}+\frac{77}{14}\\=\frac{24+77}{14}\\=\frac{101}{14}\)
12. \(\frac{-5}{11}+\frac{11}{14}\\=\frac{-70}{154}+\frac{121}{154}\\=\frac{-70+121}{154}\\=\frac{51}{154}\)