Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-12}{13}+\frac{5}{11}\\=\frac{-132}{143}+\frac{65}{143}\\=\frac{-132+65}{143}\\=\frac{-67}{143}\)
2. \(\frac{12}{17}+\frac{4}{5}\\=\frac{60}{85}+\frac{68}{85}\\=\frac{60+68}{85}\\=\frac{128}{85}\)
3. \(\frac{1}{17}+\frac{17}{2}\\=\frac{2}{34}+\frac{289}{34}\\=\frac{2+289}{34}\\=\frac{291}{34}\)
4. \(\frac{4}{9}+\frac{20}{7}\\=\frac{28}{63}+\frac{180}{63}\\=\frac{28+180}{63}\\=\frac{208}{63}\)
5. \(\frac{-15}{4}+\frac{7}{19}\\=\frac{-285}{76}+\frac{28}{76}\\=\frac{-285+28}{76}\\=\frac{-257}{76}\\=\frac{257}{-76}\)
6. \(\frac{-2}{15}+\frac{9}{17}\\=\frac{-34}{255}+\frac{135}{255}\\=\frac{-34+135}{255}\\=\frac{101}{255}\)
7. \(\frac{-1}{3}+\frac{16}{9}\\=\frac{-3}{9}+\frac{16}{9}\\=\frac{-3+16}{9}\\=\frac{13}{9}\)
8. \(\frac{-20}{9}+\frac{20}{11}\\=\frac{-220}{99}+\frac{180}{99}\\=\frac{-220+180}{99}\\=\frac{-40}{99}\)
9. \(\frac{13}{2}+\frac{3}{16}\\=\frac{104}{16}+\frac{3}{16}\\=\frac{104+3}{16}\\=\frac{107}{16}\)
10. \(\frac{6}{11}+\frac{6}{19}\\=\frac{114}{209}+\frac{66}{209}\\=\frac{114+66}{209}\\=\frac{180}{209}\)
11. \(\frac{9}{2}+\frac{11}{2}\\=\frac{9+11}{2}\\=\frac{20}{2}\\=\frac{10}{1}\)
12. \(\frac{-4}{5}+\frac{8}{19}\\=\frac{-76}{95}+\frac{40}{95}\\=\frac{-76+40}{95}\\=\frac{-36}{95}\)