Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{11}+\frac{7}{12}\\=\frac{96}{132}+\frac{77}{132}\\=\frac{96+77}{132}\\=\frac{173}{132}\)
2. \(\frac{8}{9}+\frac{3}{10}\\=\frac{80}{90}+\frac{27}{90}\\=\frac{80+27}{90}\\=\frac{107}{90}\)
3. \(\frac{5}{3}+\frac{3}{5}\\=\frac{25}{15}+\frac{9}{15}\\=\frac{25+9}{15}\\=\frac{34}{15}\)
4. \(\frac{5}{7}+\frac{4}{9}\\=\frac{45}{63}+\frac{28}{63}\\=\frac{45+28}{63}\\=\frac{73}{63}\)
5. \(\frac{9}{2}+\frac{9}{5}\\=\frac{45}{10}+\frac{18}{10}\\=\frac{45+18}{10}\\=\frac{63}{10}\)
6. \(\frac{6}{5}+\frac{3}{7}\\=\frac{42}{35}+\frac{15}{35}\\=\frac{42+15}{35}\\=\frac{57}{35}\)
7. \(\frac{9}{10}+\frac{2}{9}\\=\frac{81}{90}+\frac{20}{90}\\=\frac{81+20}{90}\\=\frac{101}{90}\)
8. \(\frac{7}{3}+\frac{3}{10}\\=\frac{70}{30}+\frac{9}{30}\\=\frac{70+9}{30}\\=\frac{79}{30}\)
9. \(\frac{4}{9}+\frac{3}{7}\\=\frac{28}{63}+\frac{27}{63}\\=\frac{28+27}{63}\\=\frac{55}{63}\)
10. \(\frac{8}{5}+\frac{8}{7}\\=\frac{56}{35}+\frac{40}{35}\\=\frac{56+40}{35}\\=\frac{96}{35}\)
11. \(\frac{7}{6}+\frac{4}{9}\\=\frac{21}{18}+\frac{8}{18}\\=\frac{21+8}{18}\\=\frac{29}{18}\)
12. \(\frac{6}{7}+\frac{5}{7}\\=\frac{6+5}{7}\\=\frac{11}{7}\)