Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{3}+\frac{7}{3}\\=\frac{8+7}{3}\\=\frac{15}{3}\\=5\)
2. \(\frac{9}{7}+\frac{7}{11}\\=\frac{99}{77}+\frac{49}{77}\\=\frac{99+49}{77}\\=\frac{148}{77}\)
3. \(\frac{4}{3}+\frac{8}{11}\\=\frac{44}{33}+\frac{24}{33}\\=\frac{44+24}{33}\\=\frac{68}{33}\)
4. \(\frac{9}{2}+\frac{4}{5}\\=\frac{45}{10}+\frac{8}{10}\\=\frac{45+8}{10}\\=\frac{53}{10}\)
5. \(\frac{2}{3}+\frac{6}{11}\\=\frac{22}{33}+\frac{18}{33}\\=\frac{22+18}{33}\\=\frac{40}{33}\)
6. \(\frac{5}{3}+\frac{2}{5}\\=\frac{25}{15}+\frac{6}{15}\\=\frac{25+6}{15}\\=\frac{31}{15}\)
7. \(\frac{7}{4}+\frac{6}{11}\\=\frac{77}{44}+\frac{24}{44}\\=\frac{77+24}{44}\\=\frac{101}{44}\)
8. \(\frac{7}{8}+\frac{5}{7}\\=\frac{49}{56}+\frac{40}{56}\\=\frac{49+40}{56}\\=\frac{89}{56}\)
9. \(\frac{8}{7}+\frac{8}{11}\\=\frac{88}{77}+\frac{56}{77}\\=\frac{88+56}{77}\\=\frac{144}{77}\)
10. \(\frac{4}{5}+\frac{3}{8}\\=\frac{32}{40}+\frac{15}{40}\\=\frac{32+15}{40}\\=\frac{47}{40}\)
11. \(\frac{5}{2}+\frac{9}{5}\\=\frac{25}{10}+\frac{18}{10}\\=\frac{25+18}{10}\\=\frac{43}{10}\)
12. \(\frac{9}{4}+\frac{7}{9}\\=\frac{81}{36}+\frac{28}{36}\\=\frac{81+28}{36}\\=\frac{109}{36}\)