Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{13}{11}+\frac{11}{12}\\=\frac{156}{132}+\frac{121}{132}\\=\frac{156+121}{132}\\=\frac{277}{132}\)
2. \(\frac{-2}{7}+\frac{12}{5}\\=\frac{-10}{35}+\frac{84}{35}\\=\frac{-10+84}{35}\\=\frac{74}{35}\)
3. \(\frac{-2}{19}+\frac{17}{4}\\=\frac{-8}{76}+\frac{323}{76}\\=\frac{-8+323}{76}\\=\frac{315}{76}\)
4. \(\frac{9}{16}+\frac{6}{11}\\=\frac{99}{176}+\frac{96}{176}\\=\frac{99+96}{176}\\=\frac{195}{176}\)
5. \(\frac{14}{17}+\frac{20}{11}\\=\frac{154}{187}+\frac{340}{187}\\=\frac{154+340}{187}\\=\frac{494}{187}\)
6. \(\frac{-1}{10}+\frac{2}{19}\\=\frac{-19}{190}+\frac{20}{190}\\=\frac{-19+20}{190}\\=\frac{1}{190}\)
7. \(\frac{-17}{6}+\frac{4}{15}\\=\frac{-85}{30}+\frac{8}{30}\\=\frac{-85+8}{30}\\=\frac{-77}{30}\)
8. \(\frac{-15}{16}+\frac{3}{13}\\=\frac{-195}{208}+\frac{48}{208}\\=\frac{-195+48}{208}\\=\frac{-147}{208}\\=\frac{147}{-208}\)
9. \(\frac{-11}{3}+\frac{18}{5}\\=\frac{-55}{15}+\frac{54}{15}\\=\frac{-55+54}{15}\\=\frac{-1}{15}\\=\frac{1}{-15}\)
10. \(\frac{11}{13}+\frac{10}{17}\\=\frac{187}{221}+\frac{130}{221}\\=\frac{187+130}{221}\\=\frac{317}{221}\)
11. \(\frac{-17}{18}+\frac{14}{3}\\=\frac{-17+14}{18}\\=\frac{-3}{18}\\=\frac{1}{-6}\)
12. \(\frac{-4}{9}+\frac{18}{11}\\=\frac{-44}{99}+\frac{162}{99}\\=\frac{-44+162}{99}\\=\frac{118}{99}\)