Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{3}{4}+\frac{4}{7}\\=\frac{21}{28}+\frac{16}{28}\\=\frac{21+16}{28}\\=\frac{37}{28}\)
2. \(\frac{6}{7}+\frac{5}{6}\\=\frac{36}{42}+\frac{35}{42}\\=\frac{36+35}{42}\\=\frac{71}{42}\)
3. \(\frac{7}{2}+\frac{7}{8}\\=\frac{28}{8}+\frac{7}{8}\\=\frac{28+7}{8}\\=\frac{35}{8}\)
4. \(\frac{6}{5}+\frac{2}{3}\\=\frac{18}{15}+\frac{10}{15}\\=\frac{18+10}{15}\\=\frac{28}{15}\)
5. \(\frac{8}{3}+\frac{6}{5}\\=\frac{40}{15}+\frac{18}{15}\\=\frac{40+18}{15}\\=\frac{58}{15}\)
6. \(\frac{8}{3}+\frac{8}{9}\\=\frac{24}{9}+\frac{8}{9}\\=\frac{24+8}{9}\\=\frac{32}{9}\)
7. \(\frac{5}{11}+\frac{3}{7}\\=\frac{35}{77}+\frac{33}{77}\\=\frac{35+33}{77}\\=\frac{68}{77}\)
8. \(\frac{8}{7}+\frac{3}{7}\\=\frac{8+3}{7}\\=\frac{11}{7}\)
9. \(\frac{3}{2}+\frac{3}{7}\\=\frac{21}{14}+\frac{6}{14}\\=\frac{21+6}{14}\\=\frac{27}{14}\)
10. \(\frac{8}{9}+\frac{5}{6}\\=\frac{16}{18}+\frac{15}{18}\\=\frac{16+15}{18}\\=\frac{31}{18}\)
11. \(\frac{7}{2}+\frac{4}{3}\\=\frac{21}{6}+\frac{8}{6}\\=\frac{21+8}{6}\\=\frac{29}{6}\)
12. \(\frac{9}{2}+\frac{4}{9}\\=\frac{81}{18}+\frac{8}{18}\\=\frac{81+8}{18}\\=\frac{89}{18}\)