Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{8}{5}+\frac{9}{8}\\=\frac{64}{40}+\frac{45}{40}\\=\frac{64+45}{40}\\=\frac{109}{40}\)
2. \(\frac{8}{3}+\frac{6}{11}\\=\frac{88}{33}+\frac{18}{33}\\=\frac{88+18}{33}\\=\frac{106}{33}\)
3. \(\frac{9}{2}+\frac{9}{4}\\=\frac{18}{4}+\frac{9}{4}\\=\frac{18+9}{4}\\=\frac{27}{4}\)
4. \(\frac{4}{5}+\frac{6}{11}\\=\frac{44}{55}+\frac{30}{55}\\=\frac{44+30}{55}\\=\frac{74}{55}\)
5. \(\frac{8}{5}+\frac{4}{9}\\=\frac{72}{45}+\frac{20}{45}\\=\frac{72+20}{45}\\=\frac{92}{45}\)
6. \(\frac{8}{3}+\frac{6}{7}\\=\frac{56}{21}+\frac{18}{21}\\=\frac{56+18}{21}\\=\frac{74}{21}\)
7. \(\frac{10}{9}+\frac{2}{7}\\=\frac{70}{63}+\frac{18}{63}\\=\frac{70+18}{63}\\=\frac{88}{63}\)
8. \(\frac{9}{10}+\frac{2}{9}\\=\frac{81}{90}+\frac{20}{90}\\=\frac{81+20}{90}\\=\frac{101}{90}\)
9. \(\frac{3}{2}+\frac{9}{10}\\=\frac{15}{10}+\frac{9}{10}\\=\frac{15+9}{10}\\=\frac{24}{10}\\=\frac{12}{5}\)
10. \(\frac{8}{3}+\frac{5}{11}\\=\frac{88}{33}+\frac{15}{33}\\=\frac{88+15}{33}\\=\frac{103}{33}\)
11. \(\frac{7}{6}+\frac{3}{4}\\=\frac{14}{12}+\frac{9}{12}\\=\frac{14+9}{12}\\=\frac{23}{12}\)
12. \(\frac{7}{9}+\frac{7}{11}\\=\frac{77}{99}+\frac{63}{99}\\=\frac{77+63}{99}\\=\frac{140}{99}\)