Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{9}{2}+\frac{2}{9}\\=\frac{81}{18}+\frac{4}{18}\\=\frac{81+4}{18}\\=\frac{85}{18}\)
2. \(\frac{9}{10}+\frac{5}{8}\\=\frac{36}{40}+\frac{25}{40}\\=\frac{36+25}{40}\\=\frac{61}{40}\)
3. \(\frac{3}{2}+\frac{6}{5}\\=\frac{15}{10}+\frac{12}{10}\\=\frac{15+12}{10}\\=\frac{27}{10}\)
4. \(\frac{9}{7}+\frac{10}{11}\\=\frac{99}{77}+\frac{70}{77}\\=\frac{99+70}{77}\\=\frac{169}{77}\)
5. \(\frac{4}{3}+\frac{8}{11}\\=\frac{44}{33}+\frac{24}{33}\\=\frac{44+24}{33}\\=\frac{68}{33}\)
6. \(\frac{8}{3}+\frac{8}{7}\\=\frac{56}{21}+\frac{24}{21}\\=\frac{56+24}{21}\\=\frac{80}{21}\)
7. \(\frac{7}{3}+\frac{7}{8}\\=\frac{56}{24}+\frac{21}{24}\\=\frac{56+21}{24}\\=\frac{77}{24}\)
8. \(\frac{7}{8}+\frac{6}{11}\\=\frac{77}{88}+\frac{48}{88}\\=\frac{77+48}{88}\\=\frac{125}{88}\)
9. \(\frac{7}{5}+\frac{8}{7}\\=\frac{49}{35}+\frac{40}{35}\\=\frac{49+40}{35}\\=\frac{89}{35}\)
10. \(\frac{7}{2}+\frac{4}{3}\\=\frac{21}{6}+\frac{8}{6}\\=\frac{21+8}{6}\\=\frac{29}{6}\)
11. \(\frac{4}{3}+\frac{10}{11}\\=\frac{44}{33}+\frac{30}{33}\\=\frac{44+30}{33}\\=\frac{74}{33}\)
12. \(\frac{8}{9}+\frac{3}{11}\\=\frac{88}{99}+\frac{27}{99}\\=\frac{88+27}{99}\\=\frac{115}{99}\)