Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{3}+\frac{9}{8}\\=\frac{80}{24}+\frac{27}{24}\\=\frac{80+27}{24}\\=\frac{107}{24}\)
2. \(\frac{4}{3}+\frac{3}{8}\\=\frac{32}{24}+\frac{9}{24}\\=\frac{32+9}{24}\\=\frac{41}{24}\)
3. \(\frac{8}{3}+\frac{6}{7}\\=\frac{56}{21}+\frac{18}{21}\\=\frac{56+18}{21}\\=\frac{74}{21}\)
4. \(\frac{8}{3}+\frac{2}{3}\\=\frac{8+2}{3}\\=\frac{10}{3}\)
5. \(\frac{8}{11}+\frac{7}{10}\\=\frac{80}{110}+\frac{77}{110}\\=\frac{80+77}{110}\\=\frac{157}{110}\)
6. \(\frac{9}{4}+\frac{2}{9}\\=\frac{81}{36}+\frac{8}{36}\\=\frac{81+8}{36}\\=\frac{89}{36}\)
7. \(\frac{10}{9}+\frac{4}{9}\\=\frac{10+4}{9}\\=\frac{14}{9}\)
8. \(\frac{9}{2}+\frac{4}{5}\\=\frac{45}{10}+\frac{8}{10}\\=\frac{45+8}{10}\\=\frac{53}{10}\)
9. \(\frac{10}{3}+\frac{2}{3}\\=\frac{10+2}{3}\\=\frac{12}{3}\\=4\)
10. \(\frac{5}{6}+\frac{2}{5}\\=\frac{25}{30}+\frac{12}{30}\\=\frac{25+12}{30}\\=\frac{37}{30}\)
11. \(\frac{6}{5}+\frac{7}{6}\\=\frac{36}{30}+\frac{35}{30}\\=\frac{36+35}{30}\\=\frac{71}{30}\)
12. \(\frac{7}{3}+\frac{9}{10}\\=\frac{70}{30}+\frac{27}{30}\\=\frac{70+27}{30}\\=\frac{97}{30}\)