Breuken optellen (reeks 2)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{16}{11}+\frac{17}{5}\\=\frac{80}{55}+\frac{187}{55}\\=\frac{80+187}{55}\\=\frac{267}{55}\)
2. \(\frac{9}{14}+\frac{12}{7}\\=\frac{9+12}{14}\\=\frac{21}{14}\\=\frac{3}{2}\)
3. \(\frac{7}{2}+\frac{10}{11}\\=\frac{77}{22}+\frac{20}{22}\\=\frac{77+20}{22}\\=\frac{97}{22}\)
4. \(\frac{-19}{8}+\frac{13}{5}\\=\frac{-95}{40}+\frac{104}{40}\\=\frac{-95+104}{40}\\=\frac{9}{40}\)
5. \(\frac{-18}{5}+\frac{3}{10}\\=\frac{-36}{10}+\frac{3}{10}\\=\frac{-36+3}{10}\\=\frac{-33}{10}\)
6. \(\frac{-4}{9}+\frac{19}{18}\\=\frac{-8}{18}+\frac{19}{18}\\=\frac{-8+19}{18}\\=\frac{11}{18}\)
7. \(\frac{8}{11}+\frac{4}{3}\\=\frac{24}{33}+\frac{44}{33}\\=\frac{24+44}{33}\\=\frac{68}{33}\)
8. \(\frac{-12}{5}+\frac{12}{13}\\=\frac{-156}{65}+\frac{60}{65}\\=\frac{-156+60}{65}\\=\frac{-96}{65}\\=\frac{96}{-65}\)
9. \(\frac{-1}{9}+\frac{18}{19}\\=\frac{-19}{171}+\frac{162}{171}\\=\frac{-19+162}{171}\\=\frac{143}{171}\)
10. \(\frac{-14}{17}+\frac{10}{17}\\=\frac{-14+10}{17}\\=\frac{-4}{17}\)
11. \(\frac{18}{19}+\frac{2}{7}\\=\frac{126}{133}+\frac{38}{133}\\=\frac{126+38}{133}\\=\frac{164}{133}\)
12. \(\frac{-15}{8}+\frac{10}{11}\\=\frac{-165}{88}+\frac{80}{88}\\=\frac{-165+80}{88}\\=\frac{-85}{88}\\=\frac{85}{-88}\)