Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{7}+\frac{5}{6}\\=\frac{60}{42}+\frac{35}{42}\\=\frac{60+35}{42}\\=\frac{95}{42}\)
2. \(\frac{10}{3}+\frac{7}{10}\\=\frac{100}{30}+\frac{21}{30}\\=\frac{100+21}{30}\\=\frac{121}{30}\)
3. \(\frac{4}{3}+\frac{5}{8}\\=\frac{32}{24}+\frac{15}{24}\\=\frac{32+15}{24}\\=\frac{47}{24}\)
4. \(\frac{9}{4}+\frac{4}{11}\\=\frac{99}{44}+\frac{16}{44}\\=\frac{99+16}{44}\\=\frac{115}{44}\)
5. \(\frac{8}{5}+\frac{5}{11}\\=\frac{88}{55}+\frac{25}{55}\\=\frac{88+25}{55}\\=\frac{113}{55}\)
6. \(\frac{2}{3}+\frac{5}{11}\\=\frac{22}{33}+\frac{15}{33}\\=\frac{22+15}{33}\\=\frac{37}{33}\)
7. \(\frac{5}{11}+\frac{3}{8}\\=\frac{40}{88}+\frac{33}{88}\\=\frac{40+33}{88}\\=\frac{73}{88}\)
8. \(\frac{4}{3}+\frac{5}{11}\\=\frac{44}{33}+\frac{15}{33}\\=\frac{44+15}{33}\\=\frac{59}{33}\)
9. \(\frac{9}{8}+\frac{2}{5}\\=\frac{45}{40}+\frac{16}{40}\\=\frac{45+16}{40}\\=\frac{61}{40}\)
10. \(\frac{3}{4}+\frac{8}{11}\\=\frac{33}{44}+\frac{32}{44}\\=\frac{33+32}{44}\\=\frac{65}{44}\)
11. \(\frac{3}{5}+\frac{3}{11}\\=\frac{33}{55}+\frac{15}{55}\\=\frac{33+15}{55}\\=\frac{48}{55}\)
12. \(\frac{9}{2}+\frac{5}{9}\\=\frac{81}{18}+\frac{10}{18}\\=\frac{81+10}{18}\\=\frac{91}{18}\)