Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{3}+\frac{6}{7}\\=\frac{56}{21}+\frac{18}{21}\\=\frac{56+18}{21}\\=\frac{74}{21}\)
2. \(\frac{9}{7}+\frac{6}{5}\\=\frac{45}{35}+\frac{42}{35}\\=\frac{45+42}{35}\\=\frac{87}{35}\)
3. \(\frac{6}{11}+\frac{2}{11}\\=\frac{6+2}{11}\\=\frac{8}{11}\)
4. \(\frac{7}{5}+\frac{2}{3}\\=\frac{21}{15}+\frac{10}{15}\\=\frac{21+10}{15}\\=\frac{31}{15}\)
5. \(\frac{9}{4}+\frac{9}{10}\\=\frac{45}{20}+\frac{18}{20}\\=\frac{45+18}{20}\\=\frac{63}{20}\)
6. \(\frac{8}{9}+\frac{7}{8}\\=\frac{64}{72}+\frac{63}{72}\\=\frac{64+63}{72}\\=\frac{127}{72}\)
7. \(\frac{4}{3}+\frac{3}{7}\\=\frac{28}{21}+\frac{9}{21}\\=\frac{28+9}{21}\\=\frac{37}{21}\)
8. \(\frac{3}{10}+\frac{2}{9}\\=\frac{27}{90}+\frac{20}{90}\\=\frac{27+20}{90}\\=\frac{47}{90}\)
9. \(\frac{9}{4}+\frac{5}{4}\\=\frac{9+5}{4}\\=\frac{14}{4}\\=\frac{7}{2}\)
10. \(\frac{4}{5}+\frac{3}{7}\\=\frac{28}{35}+\frac{15}{35}\\=\frac{28+15}{35}\\=\frac{43}{35}\)
11. \(\frac{8}{11}+\frac{3}{7}\\=\frac{56}{77}+\frac{33}{77}\\=\frac{56+33}{77}\\=\frac{89}{77}\)
12. \(\frac{4}{3}+\frac{7}{9}\\=\frac{12}{9}+\frac{7}{9}\\=\frac{12+7}{9}\\=\frac{19}{9}\)