Breuken optellen (reeks 1)

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Tel de breuken op

1. \(\frac{10}{11}+\frac{6}{11}\)
2. \(\frac{9}{10}+\frac{5}{9}\)
3. \(\frac{3}{5}+\frac{2}{11}\)
4. \(\frac{3}{7}+\frac{3}{8}\)
5. \(\frac{8}{9}+\frac{3}{5}\)
6. \(\frac{5}{2}+\frac{3}{10}\)
7. \(\frac{10}{3}+\frac{9}{10}\)
8. \(\frac{8}{9}+\frac{5}{8}\)
9. \(\frac{9}{5}+\frac{10}{9}\)
10. \(\frac{9}{10}+\frac{8}{11}\)
11. \(\frac{7}{11}+\frac{3}{8}\)
12. \(\frac{5}{7}+\frac{4}{9}\)

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{11}+\frac{6}{11}\\=\frac{10+6}{11}\\=\frac{16}{11}\)
2. \(\frac{9}{10}+\frac{5}{9}\\=\frac{81}{90}+\frac{50}{90}\\=\frac{81+50}{90}\\=\frac{131}{90}\)
3. \(\frac{3}{5}+\frac{2}{11}\\=\frac{33}{55}+\frac{10}{55}\\=\frac{33+10}{55}\\=\frac{43}{55}\)
4. \(\frac{3}{7}+\frac{3}{8}\\=\frac{24}{56}+\frac{21}{56}\\=\frac{24+21}{56}\\=\frac{45}{56}\)
5. \(\frac{8}{9}+\frac{3}{5}\\=\frac{40}{45}+\frac{27}{45}\\=\frac{40+27}{45}\\=\frac{67}{45}\)
6. \(\frac{5}{2}+\frac{3}{10}\\=\frac{25}{10}+\frac{3}{10}\\=\frac{25+3}{10}\\=\frac{28}{10}\\=\frac{14}{5}\)
7. \(\frac{10}{3}+\frac{9}{10}\\=\frac{100}{30}+\frac{27}{30}\\=\frac{100+27}{30}\\=\frac{127}{30}\)
8. \(\frac{8}{9}+\frac{5}{8}\\=\frac{64}{72}+\frac{45}{72}\\=\frac{64+45}{72}\\=\frac{109}{72}\)
9. \(\frac{9}{5}+\frac{10}{9}\\=\frac{81}{45}+\frac{50}{45}\\=\frac{81+50}{45}\\=\frac{131}{45}\)
10. \(\frac{9}{10}+\frac{8}{11}\\=\frac{99}{110}+\frac{80}{110}\\=\frac{99+80}{110}\\=\frac{179}{110}\)
11. \(\frac{7}{11}+\frac{3}{8}\\=\frac{56}{88}+\frac{33}{88}\\=\frac{56+33}{88}\\=\frac{89}{88}\)
12. \(\frac{5}{7}+\frac{4}{9}\\=\frac{45}{63}+\frac{28}{63}\\=\frac{45+28}{63}\\=\frac{73}{63}\)