Breuken optellen (reeks 1)

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Tel de breuken op

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

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Tel de breuken op

Verbetersleutel

1. \(\frac{10}{11}+\frac{7}{11}\\=\frac{10+7}{11}\\=\frac{17}{11}\)
2. \(\frac{5}{2}+\frac{9}{8}\\=\frac{20}{8}+\frac{9}{8}\\=\frac{20+9}{8}\\=\frac{29}{8}\)
3. \(\frac{9}{10}+\frac{3}{5}\\=\frac{9+3}{10}\\=\frac{12}{10}\\=\frac{6}{5}\)
4. \(\frac{2}{3}+\frac{2}{11}\\=\frac{22}{33}+\frac{6}{33}\\=\frac{22+6}{33}\\=\frac{28}{33}\)
5. \(\frac{9}{2}+\frac{9}{8}\\=\frac{36}{8}+\frac{9}{8}\\=\frac{36+9}{8}\\=\frac{45}{8}\)
6. \(\frac{9}{4}+\frac{7}{5}\\=\frac{45}{20}+\frac{28}{20}\\=\frac{45+28}{20}\\=\frac{73}{20}\)
7. \(\frac{9}{10}+\frac{9}{10}\\=\frac{9+9}{10}\\=\frac{18}{10}\\=\frac{9}{5}\)
8. \(\frac{8}{3}+\frac{4}{11}\\=\frac{88}{33}+\frac{12}{33}\\=\frac{88+12}{33}\\=\frac{100}{33}\)
9. \(\frac{9}{7}+\frac{8}{11}\\=\frac{99}{77}+\frac{56}{77}\\=\frac{99+56}{77}\\=\frac{155}{77}\)
10. \(\frac{10}{7}+\frac{9}{7}\\=\frac{10+9}{7}\\=\frac{19}{7}\)
11. \(\frac{5}{6}+\frac{9}{11}\\=\frac{55}{66}+\frac{54}{66}\\=\frac{55+54}{66}\\=\frac{109}{66}\)
12. \(\frac{10}{3}+\frac{5}{2}\\=\frac{20}{6}+\frac{15}{6}\\=\frac{20+15}{6}\\=\frac{35}{6}\)