Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{5}{11}+\frac{2}{5}\\=\frac{25}{55}+\frac{22}{55}\\=\frac{25+22}{55}\\=\frac{47}{55}\)
2. \(\frac{6}{5}+\frac{4}{7}\\=\frac{42}{35}+\frac{20}{35}\\=\frac{42+20}{35}\\=\frac{62}{35}\)
3. \(\frac{10}{7}+\frac{8}{7}\\=\frac{10+8}{7}\\=\frac{18}{7}\)
4. \(\frac{8}{7}+\frac{3}{11}\\=\frac{88}{77}+\frac{21}{77}\\=\frac{88+21}{77}\\=\frac{109}{77}\)
5. \(\frac{8}{11}+\frac{3}{7}\\=\frac{56}{77}+\frac{33}{77}\\=\frac{56+33}{77}\\=\frac{89}{77}\)
6. \(\frac{5}{8}+\frac{2}{9}\\=\frac{45}{72}+\frac{16}{72}\\=\frac{45+16}{72}\\=\frac{61}{72}\)
7. \(\frac{4}{3}+\frac{2}{3}\\=\frac{4+2}{3}\\=\frac{6}{3}\\=2\)
8. \(\frac{4}{3}+\frac{8}{11}\\=\frac{44}{33}+\frac{24}{33}\\=\frac{44+24}{33}\\=\frac{68}{33}\)
9. \(\frac{7}{9}+\frac{6}{11}\\=\frac{77}{99}+\frac{54}{99}\\=\frac{77+54}{99}\\=\frac{131}{99}\)
10. \(\frac{4}{9}+\frac{3}{7}\\=\frac{28}{63}+\frac{27}{63}\\=\frac{28+27}{63}\\=\frac{55}{63}\)
11. \(\frac{7}{8}+\frac{4}{5}\\=\frac{35}{40}+\frac{32}{40}\\=\frac{35+32}{40}\\=\frac{67}{40}\)
12. \(\frac{10}{7}+\frac{4}{3}\\=\frac{30}{21}+\frac{28}{21}\\=\frac{30+28}{21}\\=\frac{58}{21}\)