Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{4}{3}+\frac{2}{3}\\=\frac{4+2}{3}\\=\frac{6}{3}\\=2\)
2. \(\frac{9}{2}+\frac{5}{6}\\=\frac{27}{6}+\frac{5}{6}\\=\frac{27+5}{6}\\=\frac{32}{6}\\=\frac{16}{3}\)
3. \(\frac{8}{7}+\frac{10}{9}\\=\frac{72}{63}+\frac{70}{63}\\=\frac{72+70}{63}\\=\frac{142}{63}\)
4. \(\frac{8}{3}+\frac{6}{5}\\=\frac{40}{15}+\frac{18}{15}\\=\frac{40+18}{15}\\=\frac{58}{15}\)
5. \(\frac{8}{9}+\frac{6}{11}\\=\frac{88}{99}+\frac{54}{99}\\=\frac{88+54}{99}\\=\frac{142}{99}\)
6. \(\frac{9}{10}+\frac{9}{10}\\=\frac{9+9}{10}\\=\frac{18}{10}\\=\frac{9}{5}\)
7. \(\frac{4}{5}+\frac{5}{9}\\=\frac{36}{45}+\frac{25}{45}\\=\frac{36+25}{45}\\=\frac{61}{45}\)
8. \(\frac{10}{7}+\frac{3}{8}\\=\frac{80}{56}+\frac{21}{56}\\=\frac{80+21}{56}\\=\frac{101}{56}\)
9. \(\frac{7}{2}+\frac{8}{3}\\=\frac{21}{6}+\frac{16}{6}\\=\frac{21+16}{6}\\=\frac{37}{6}\)
10. \(\frac{7}{2}+\frac{6}{7}\\=\frac{49}{14}+\frac{12}{14}\\=\frac{49+12}{14}\\=\frac{61}{14}\)
11. \(\frac{9}{2}+\frac{10}{9}\\=\frac{81}{18}+\frac{20}{18}\\=\frac{81+20}{18}\\=\frac{101}{18}\)
12. \(\frac{10}{9}+\frac{8}{9}\\=\frac{10+8}{9}\\=\frac{18}{9}\\=2\)