Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{-14}{11}+\frac{7}{16}\\=\frac{-224}{176}+\frac{77}{176}\\=\frac{-224+77}{176}\\=\frac{-147}{176}\)
2. \(\frac{4}{15}+\frac{17}{12}\\=\frac{16}{60}+\frac{85}{60}\\=\frac{16+85}{60}\\=\frac{101}{60}\)
3. \(\frac{-9}{14}+\frac{12}{13}\\=\frac{-117}{182}+\frac{168}{182}\\=\frac{-117+168}{182}\\=\frac{51}{182}\)
4. \(\frac{2}{5}+\frac{19}{6}\\=\frac{12}{30}+\frac{95}{30}\\=\frac{12+95}{30}\\=\frac{107}{30}\)
5. \(\frac{-4}{9}+\frac{9}{17}\\=\frac{-68}{153}+\frac{81}{153}\\=\frac{-68+81}{153}\\=\frac{13}{153}\)
6. \(\frac{1}{17}+\frac{17}{18}\\=\frac{18}{306}+\frac{289}{306}\\=\frac{18+289}{306}\\=\frac{307}{306}\)
7. \(\frac{-20}{11}+\frac{13}{8}\\=\frac{-160}{88}+\frac{143}{88}\\=\frac{-160+143}{88}\\=\frac{-17}{88}\)
8. \(\frac{-3}{10}+\frac{3}{2}\\=\frac{-3+3}{10}\\=\frac{0}{10}\\=\frac{0}{1}\)
9. \(\frac{-14}{17}+\frac{7}{17}\\=\frac{-14+7}{17}\\=\frac{-7}{17}\\=\frac{7}{-17}\)
10. \(\frac{5}{12}+\frac{18}{13}\\=\frac{65}{156}+\frac{216}{156}\\=\frac{65+216}{156}\\=\frac{281}{156}\)
11. \(\frac{11}{10}+\frac{8}{3}\\=\frac{33}{30}+\frac{80}{30}\\=\frac{33+80}{30}\\=\frac{113}{30}\)
12. \(\frac{-15}{11}+\frac{19}{7}\\=\frac{-105}{77}+\frac{209}{77}\\=\frac{-105+209}{77}\\=\frac{104}{77}\)